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Munich Personal RePEc Archive
Herd Behavior and Cascading in Capital
Markets: A Review and Synthesis
Hirshleifer, David and Teoh, Siew Hong
Fisher College of Business, The Ohio State University
19 December 2001
Online at https://mpra.ub.uni-muenchen.de/5186/
MPRA Paper No. 5186, posted 07 Oct 2007 UTC
De ember 19, 2001
Herd Behavior and Cas ading in Capital Markets:
A Review and Synthesis
David Hirshleifer� and Siew Hong Teoh��
Abstra t:
We review theory and eviden e relating to herd behavior, payo� and reputationalintera tions, so ial learning, and informational as ades in apital markets. We o�era simple taxonomy of e�e ts, and evaluate how alternative theories may help explaineviden e on the behavior of investors, �rms, and analysts. We onsider both in entivesfor parties to engage in herding or as ading, and the in entives for parties to prote tagainst or take advantage of herding or as ading by others.
Key Words: herd behavior, informational as ades, so ial learning, analyst herding, apital markets, �nan ial reporting, behavioral �nan e, investor psy hology, market ef-� ien y
� David Hirshleifer, Kurtz Chair in Finan e, Fisher College of Business, Ohio StateUniversity, 2100 Neil Avenue, Columbus, OH 43210-1144; Telephone: 614-292-5174;Fax: 614-292-2418; Email: hirshleifer 2� ob.osu.edu.
�� Siew Hong Teoh, Fisher College of Business, Ohio State University, 2100 Neil Avenue,Columbus, OH 43210-1144; Telephone: 614-292-6547; Email: teoh 2� ob.osu.edu.
We thank Darrell DuÆe for helpful omments, and Seongyeon Lim for ex ellent resear hassistan e.
Men nearly always follow the tra ks made by others and pro eed in their
a�airs by imitation...
| Ni olo Ma hiavelli, The Prin e, Ch. 6, 1514
1 Introdu tion
We are in uen ed by others in almost every a tivity, and this in ludes investment and
�nan ial transa tions. For example, it is reported as news when Warren Bu�ett buys
a sto k or ommodity, and this news a�e ts its pri e (see Se tion 6). Su h in uen e
may be entirely rational, but investors and managers are often a used of irrationally
onverging in their a tions and beliefs, perhaps be ause of a `herd instin t,' or from a
ontagious emotional response to stressful events.1
There are ertainly some phenomena that are suggestive of irrational herding by
markets, su h as ane dotes of market pri e movements without obvious justifying news;
examples that (with the bene�t of hindsight) look like mistakes, su h as the overpri ing
of U.S. te hnology sto ks in the late 1990s; the fa t that orporate a tions su h as new
issues and takeovers move in waves; and the tenden y of analysts to be enamored with
ertain se tors at di�erent times. Pra tioners and the media dis ussions are mu h too
ready to jump from su h patterns to the on lusion that irrational herding is proved. A
fully rational market may rea t to information that the resear her has failed to per eive;
market eÆ ien y does not mean perfe t foresight, so we expe t analyst fore asts and
market pri es to be wrong ex post; and orporate a tions may move in waves in rational
response to hanging fundamental onditions.
There has, of ourse, been a great deal of serious theoreti al and empiri al exploration
of the proposition that irrational investor errors ause market misvaluation of assets.
This in ludes some exploration of whether there is ontagion in biases a ross di�erent
investor groups, or from analysts to investors; and exploration of whether �rms take
a tions to exploit market misvaluation (for re ent reviews, see Hirshleifer (2001) and
Daniel, Hirshleifer, and Teoh (2002)).
However, a ademi resear h has also ontributed in a di�erent way to our under-
standing of these issues. Re ent theoreti al work on so ial learning and behavioral
onvergen e indi ates that some phenomena that seem irrational an a tually arise very
1See, e.g., Business Week (1998) on \Why Investors Stampede: ... And why the potential fordamage is greater than ever," or the advertisement by S udder Investments in Forbes (10/29/01) withthe heading, \MILLIONS of very fast, slightly MISINFORMED sheep. Now that's opportunity."
1
naturally in fully rational settings. Su h phenomena in lude: (1) frequent onvergen e
by individuals or �rms upon mistaken a tions based upon little investigation and little
justifying information; (2) the tenden y for so ial out omes to be fragile with respe t
to seemingly small sho ks; and (3) the tenden y for individuals or �rms to delay de i-
sion for extended periods of time and then, without obvious external trigger, suddenly
rush to a t simultaneously. There has also been theoreti al work on reputation-building
in entives by managers, whi h has fo used primarily on issue (1), but whi h has also
o�ered explanations for why some managers may deviate from the herd as well.
In this paper we review both fully rational and imperfe tly rational theories of be-
havioral onvergen e; their impli ations for investor trading, managerial investment and
�nan ing hoi es, analyst following and fore asts, market pri es, market regulation, and
welfare; and asso iated empiri al eviden e. Learning from pri es is by now familiar in
apital markets resear h, but we will argue here that more personal learning from quan-
tities (individual a tions), from out omes, and from onversation is also important for
markets.
We examine here behavioral onvergen e and u tuations in the behavior of in-
vestors, se urity analysts, and �rms in their respe tive de isions. Investors may `herd'
( onverge in behavior) or ` as ade' (ignore their private information signals) in de iding
whether to parti ipate in the market, what se urities to trade, and whether to buy or
sell. Both analysts and investors may herd in de iding what se urities to dis uss and
study. Analysts may also herd in the fore asts they o�er. We will onsider how herding
or as ading may a�e t market pri es. Furthermore, �rms an herd in their investment
de isions, in their �nan ing de isions, and in their reporting de isions. For example,
�rms may herd in the timing of new issues, in the adoption of fashionable investment
proje ts, or in their de isions of how to report earnings. Also, �rms an take a tions to
prote t against or exploit herding and as ading by investors and analysts.
In summary, our main goals are:
1. To provide a simple taxonomy of herding, payo� and reputation intera tions, so ial
learning and as ading.
2. Review riti ally the strengths and limitations of the basi analyti al frameworks
for understanding so ial learning based on observing others, and for understanding
reputation-building in entives to onverge or diverge behaviorally.
3. Review the eviden e from apital markets regarding herd behavior or as ades,
and evaluate how alternative theories may help explain eviden e on the behavior
2
of investors, �rms, and analysts. This in ludes onsideration of both in entives for
parties to engage in herding or as ading, and the in entives for parties to prote t
against or take advantage of herding or as ading by others.
Some issues omitted issues here are so ial learning and imitation in games (see,
e.g. Fudenberg and Kreps (1995), Gale and Rosenthal (2001)), and the vast general
literatures on so ial learning through pri es (e.g., Grossman and Stiglitz (1976)), and
on the learing me hanisms by whi h trades are onverted to pri es (e.g., Glosten and
Milgrom (1985), Kyle (1985)).
The remainder of this paper is stru tured as follows. Se tion 2 lassi�es me hanisms
of learning and behavioral onvergen e. Se tion 3 des ribes basi prin iples and alter-
native e onomi s enarios in rational learning models Se tion 4 des ribes agen y and
reputation-based herding models. Se tion 5 des ribes theory and eviden e on herding
and as ades in se urity analysis. Se tion 6 des ribes herd behavior and as ades in
se urity trading. Se tion 7 des ribes the pri e impli ations of herding and as ading
and their relation to bubbles. Se tion 8 des ribes herd behavior and as ades in �rms'
investment, �nan ing, and reporting de isions. Se tion 9 on ludes.
2 Taxonomy and me hanisms of so ial learning and
behavioral onvergen e
An individual's thoughts, feelings and a tions an be in uen ed by other individuals by
several means: by words, by observation of a tions (e.g., observation of quantities su h
as supplies and demands), and by observation of the onsequen es of a tions (su h as
individual payo�s, or market pri es). This in uen e may involve fully rational learning,
a quasi-rational pro ess, or even in ways that do not improve the observer's de isions at
all.
The pro ess of so ial in uen e an promote onvergen e or divergen e in behavior;
Figure 1 provides a taxonomy of di�erent sour es of onvergen e or divergen e. We
do not regard as onvergen e mere random formations with illusory appearan e of sys-
temati groupings. Our fo us also ex ludes mere lustering, wherein people a t in a
similar way owing to the parallel independent in uen e of a ommon external fa tor.
Our fo us is on onvergen e or divergen e brought about by a tual intera tions between
individuals.
Herding/dispersing is de�ned to in lude any behavior similarity/dissimilarity brought
3
about by the intera tion of individuals. (Originally herding referred to physi al lump-
ing, but this has been extended by e onomists to onvergen e in the a tion spa e.)
Possible sour es in lude:
1. Payo� externalities (often alled network externalities or strategi omplementar-
ities); for example, it pays for one person to use email if everyone else does too;
2. San tions upon deviants (as when dissidents in a di tatorship are jailed or tortured)
3. Preferen e intera tions (some individuals may prefer to wear Versa e this season,
just be ause everyone else is; others may prefer to deviate the olor that is `in' this
season);
4. Dire t ommuni ation (someone may simply state whi h of two alternatives are
better- but it is not so simple, sin e there is an issue of redibility),
5. Observational in uen e (an individual may observe the a tions of others or onse-
quen es of those a tions).
Figure 1 des ribes a double hierar hy of means of onvergen e. At the top of the
hierar hy is the most in lusive ategory, herding/dispersing. Re tangles depi t the ob-
servational hierar hy (A, B, C, D), whi h des ribes the informational sour es of herding
or dispersing. These in lude:
� A. herding/dispersing: Observation of others an lead to dispersing instead of
herding. For example, if preferen es are opposing.
� B. Observational In uen e: Dependen e of behavior upon the observed behavior
of others, or the results of their behavior; may be imperfe tly rational.
� C. Rational Observational Learning: Observational in uen e resulting from ratio-
nal Bayesian inferen e from information re e ted in the behavior of others, or the
results of their behavior.
� D. Informational Cas ades: (Observational learning in whi h the observation of
others (their a tions, payo�s, or even onversation) is so informative that an indi-
vidual's a tion does not depend on his own private signal).
The last ategory, informational as ades, des ribes a ondition in whi h imitation
will o ur with ertainty. Even as simple a form of so ial intera tion as imitation o�ers
4
a ru ial bene�t: it allows an individual to exploit information possessed by others
about the environment. When a friend is eeing rapidly, it may be good to run even
before seeing the saber tooth tiger hasing around the bend. The bene�t from imitating
others, and of taking into a ount the payo� out omes of others, is fundamental, as
eviden ed by the observation of su h behavior in many kinds of animals. Even when
imitation probably does not o ur through a `rational' pro ess of analysis, the pro livity
to imitate may be well attuned to osts and bene�ts through the guidan e of natural
sele tion. We will use the word imitation broadly to in lude sub-rational me hanisms
that indu e an individual to be in uen ed by the behavior of another individual to
behave the same way.
There is an extensive literature in both psy hology and zoology on imitation in
many animal spe ies, both in the wild and experimentally (see, e.g., Gibson and Hoglund
(1992), (Giraldeau (1997), and Dugatkin (1992)). Imitation has been do umented among
birds, �sh, and mammals in foraging and diet hoi es, sele tion of mates, sele tion of
territories, and in means of avoiding predators. Indeed, Bla kmore (1999) (e.g., pp.
74-81) suggests that in early hominids there was strong sele tion for ability to imitate
innovative, omplex behaviors, so that the evolution of large brain size was linked to the
rise of the propensity to imitate. Starting within an hour of birth, humans also engage
in imitation. There is also ontagion in the emotions of individuals intera ting as groups
(see, e.g., Barsade (2001)).
An individual is said to be in an informational as ade if, based upon his observation
of others (e.g., their a tions, out omes, or words), his sele ted a tion does not depend on
his private information signal (see Bikh handani, Hirshleifer, and Wel h (1992), Wel h
(1992) and Banerjee (1992) [Banerjee uses the term `herd' for what we refer to here as
a as ade℄). In su h a situation, his a tion hoi e is uninformative to later observers.
Thus, as ades tend to be asso iated with information blo kages. Su h blo kages are
an aspe t of an informational externality: an individual making a hoi e may do so for
private purposes with little regard to the potential information bene�t to others.
Gale (1996) reviews models of so ial learning and herding in general..For an ex-
position and des ription of appli ations of informational as ades, see Bikh handani,
Hirshleifer, and Wel h (1998); Bikh handani, Hirshleifer, and Wel h (2001) provides an
annotated bibliography of resear h relating to as ades.
Returning to Figure 1, re tangles depi t the payo� intera tion hierar hy (I, II, III),
whi h provides a di�erent (though not mutually ex lusive) perspe tive on herding or
dispersing. These in lude:
5
� I. Herding/Dispersing (as in the information hierar hy)
� II. Payo� and Network Externalities This involves onvergen e or divergen e of
behavior arising from the fa t that an individual's a tion a�e ts the payo�s to
others of taking that a tion. The lassi model of herding as a dire t payo�
intera tion is Hamilton's ((1971)) analysis of the geometry of the `sel�sh herd,'
wherein the lumping of prey animals is an indire t out ome of the sel�sh attempt
by ea h one to put others between itself and predators. In �nan ial e onomi s, the
Diamond and Dybvig (1983) bank run model involves a dire t payo� externality,
and the Admati and P eiderer (1988) theory of volume lumping involves payo�
intera tions indu ed by the in entive for uninformed investors to try to trade with
ea h other instead of with the informed.
� III. Reputational Herding and Dispersion
This is onvergen e or divergen e of behavior based on the attempt of an individual
to maintain a good reputation with another observer. Su h a desire for good
reputation an ause payo� intera tions, making III a subset of II (see S harfstein
and Stein (1990), Rajan (1994), Trueman (1994), Brandenburger and Polak (1996),
and Zwiebel (1995).) Ottaviani and Sorenson (2000) explore the relation between
reputational herding and informational as ades.
3 Basi Prin iples and Alternative E onomi S e-
narios in Rational Learning Models
3.1 Some Basi Prin iples
We begin by des ribing further some features of the basi informational as ades model,
whi h provides a simple way to illustrate some prin iples ommon to models of rational
observational learning (item C) as well as those unique to the as ades setting. The
o urren e of an informational as ade an even lead to a omplete information blo kage.
Consider a sequen e of ex ante identi al individuals who fa e similar hoi es, observe
onditionally independent and identi ally distributed private information signals, and
who observe the a tions but not the payo�s of prede essors. Suppose that individual i
is in a as ade, and that later individuals understand this. Then individual i+1, having
gained no information by observing the hoi e of i, is, informationally, in a position
identi al to that of i. So i + 1 will also make the same hoi e regardless of his private
6
signal. By indu tion, this reasoning extends to all later individuals- the a umulation
of information omes to a s ree hing halt on e a as ade begins.
The on lusion that information is blo ked forever is of ourse too extreme, for
several reasons. First, a publi ly observable sho k an dislodge a as ade. Se ond,
if individuals are not ex ante identi al, then the arrival of an individual with deviant
information or preferen es an dislodge a as ade. Third, the o urren e of a as ade
requires that individual do not re eive an arbitrarily pre ise signal- likelihood ratios must
be �nitely bounded (on all these items, see, e.g., Bikh handani, Hirshleifer, and Wel h
(1992)). Fourth, whatever hoi e is �xed upon in the as ades, if payo� out omes from
that hoi e eventually work their way into the publi information pool, as ades an be
dislodged.2 Thus, the more plausible impli ation to be drawn from the basi as ades
model is just that information aggregation an be unduly slow relative to what ould
in prin iple be attained; and that blo kages an o ur whi h may last for signi� ant
periods of time (see, e.g., the dis ussion of Gale (1996)).
A generalization of the as ades on ept is what an be alled a behavioral oars-
ening. This is any situation in whi h an individual takes the same a tion for multiple
signal values. In su h a situation his information is not fully onveyed by his a tions to
observers. Behavioral oarsening leads to partial information blo kage. A as ade is the
extreme ase in whi h the oarsening overs all possible signal values, so that blo kage
is omplete.
The poor aggregation of information in informational as ades of ourse means that
de isions will also be poor, even if the signals possessed by numerous individuals ould
in prin iple be aggregated to determine the right de ision with virtual ertainty. Sin e
the model is fully rational, individuals understand perfe tly well that the pre ision of
the publi pool of information impli it in prede essors' a tions is quite modest. As a
result, even a rather small publi sho k an ause a longstanding and popular a tion to
swit h.
Although the arrival of enough publi information will improve de isions, the ar-
rival of a signal publi dis losure may, paradoxi ally, make de isions worse. Additional
information an en ourage individuals to fall into a as ade sooner, aggregating the in-
formation of fewer individuals, so there is no presumption that the signal will improve
de isions in the as ade (Bikh handani, Hirshleifer, and Wel h (1992)). For similar rea-
sons, the ability of individuals to observe past a tions with low noise instead of high
noise, or the ability to observe payo� out omes in addition to past a tions, an make
2However, bad as ades need not be dislodged with ertainty; see Cao and Hirshleifer (2000).
7
de isions worse on average (Cao and Hirshleifer (1997, 2000))- \a little knowledge is a
dangerous thing."3
In a real investment ontext, the assumption of the basi as ades model that the
timing and order of moves is exogenously given is unrealisti . When individuals have a
hoi e of whether to delay, there an be long periods with no investment, followed by
sudden spasms in whi h the adoption of the proje t by one �rm triggers the exer ise of
the investment option by many other �rms (Chamley and Gale (1994)).4
Most of the ideas des ribed above an be generalized to models of so ial learning
in whi h as ades do not o ur. Even when information blo kage is not omplete,
information aggregation is limited by the fa t that individuals privately optimize rather
than taking into a ount their e�e ts upon the publi information pool. In parti ular,
there is a general tenden y for information aggregation to be self-limiting. At �rst,
when the publi pool of information is very uninformative, a tions are highly sensitive
to private signals, so a tions add a lot of information to the publi pool. (The addition
an be dire tly through observation of past a tions, or indire tly through observation
of onsequen es of past a tions, as in publi payo� information that results from new
experimentation on di�erent hoi e alternatives.) As the publi pool of information
grows, individuals' a tions be ome less sensitive to private signals.
The loss of sensitivity of a tions to private signals an o ur suddenly, with a swit h
from full usage of private signals to no usage of private signals (as in Banerjee (1992),
and the binary example of Bikh handani, Hirshleifer, and Wel h (1992)). It an o ur
gradually (as in the more general as ades model with multiple signal values), yet still
rea h a point of omplete blo kage (as in Bikh handani, Hirshleifer, and Wel h (1992)).
Or, it an o ur gradually but never rea h a point of omplete blo kage. For example, it
an o ur that there is always a probability that individuals use their own signals, but
where that probability asymptotes toward zero; this leads to `limit as ades' (Smith and
Sorenson (2000)). Alternatively, there an be as ades proper, but owing to observability
of proje t payo�s, there an be a probability less than one that the as ade evenetually
breaks (see Cao and Hirshleifer (2000)). Or, if there is some sort of observation noise, the
publi pool of information an grow steadily but more and more slowly (Vives (1993).
In sum, whether information hannels be ome qui kly or only gradually logged,
3Also, the ability to learn by observing prede essors an make the de isions of followers noisier byredu ing their in entives to olle t (perhaps more a urate) information themselves (Cao and Hirshleifer(1997)).
4See also Hendri ks and Koveno k (1989), Bhatta harya, Chatterjee, and Samuelson (1986), Zhang(1997) and Grenadier (1999).
8
and whether the blo kage is omplete or partial, is dependent on the e onomi setting;
but the general on lusion that there an be long periods in whi h individuals herd
upon poor de isions is robust. Also in general there tends to be too mu h opying or
behavioral onvergen e; someone who uses his own private information heavily provides
a positive externality to followers, who an draw inferen es from his a tion..
The as ade out ome des ribed by Banerjee (1992) or Bikh handani, Hirshleifer,
and Wel h (1992) is based on the publi pool of information dominating the individual's
private signal. Obviously, this annot o ur with ertainty if the private signal likelihood
ratios are unbounded. However, the growth of the publi information pool may be
ex ru iatingly slow, so even in settings where people o asionally observe extremely
informative signals a as ades model an be a good approximation. In parti ular, as the
publi pool of information grows more informative, the likelihood that an individual will
depart from it substantially based on an extreme signal be omes very small.
Thus, the as ades and some other rational learning theories have several general
impli ations:
� idiosyn rasy (poor information aggregation). Behavior resulting from signals of
just �rst few individuals drasti ally a�e ts behavior of numerous followers.
� fragility (fads). When as ades form, there is omplete blo kage of information
aggregation, sensitivity to small sho ks. As in Hollywood adventure movies, it is
inevitable that the ar will end up teetering pre ariously at the very edge of the
pre ipi e.
� Simultaneity (delay followed by sudden joint a tion). Endogenous order of moves,
heterogeneous preferen es and pre isions an exa erbate these problems so that
sudden ` hain rea tions,' `stampedes' or `avalan hes' o ur.
� Paradoxi ality (greater publi information, or greater observability of the a tions
or payo�s of others does not ne essarily improve welfare or even the a ura y of
de isions).
� Path dependen e (out omes depend on the order of moves and information arrival).
This impli ation is shared with models with payo� interdependen e (e.g., Arthur
(1989)).
9
3.2 Alternative E onomi Settings
We now des ribe in somewhat more detail alternative sets of assumptions in observa-
tional in uen e models and the impli ations of these di�eren es.5
3.2.1 Observation of Past A tions Only
Here we retain the assumption of the basi as ade model that only past a tions are
observable, but onsider the a variety of model variations.
1. Dis rete, Bounded, or gapped a tions vs. ontinuous unbounded a tions
If the a tion spa e is ontinuous, unbounded, and without gaps, then an individual's
a tion is always at least slightly sensitive to his private signal. Thus, a tions always
remain informative, and informational as ade never form. Thus, informational as ade
require some dis reteness, boundedness or gaps (Lee (1993); see also Vives (1993) and
Gul and Lundholm (1995)). The earliest as ade models were based upon dis reteness
(as in Bikh handani, Hirshleifer, and Wel h (1992), Wel h (1992)) or on the equivalent
of a binary a tion spa e (Banerjee (1992)).
The assumption of dis reteness is in many settings highly plausible. We vote for one
andidate or another, not for a weighted average of the two. Often alternative investment
proje ts are mutually ex lusive. Although the amount invested is often ontinuous, if
there is a �xed ost the option of not investing at all is dis retely di�erent from positive
investment.
More broadly, one way in whi h the a tion set an be bounded is if there is a minimum
and maximum feasible proje t s ale. If so, then when the publi information pool is
suÆ iently favorable a as ades at the maximum s ale will form, and when the publi
information pool is suÆ iently adverse individuals will as ades upon the minimum
s ale. Sin e there is always an option to reje t a new proje t, investment has a natural
extreme a tion of zero. Chari and Kehoe (2000) provide a model where a lower bound
of zero on a ontinuous investment hoi e reates as ade.6
Similarly, gaps an reate as ades. For example, it may be that signi� ant new
investment or signi� ant disinvestment is feasible, but owing to �xed osts a very small
hange is learly unpro�table. If so, then as ades upon no a tion is feasible if private
5We do not review the growing literature on how rates of learning vary during ma roe onomi u tuations and how this an ontribute to booms and rashes in levels of investment (see, e.g., Gonzalez(1997), Chalkley and Lee (1998), Chamley (1999), Veldkamp (2000)).
6Asymmetry between adoption and reje tion of proje ts is often realisti and has been in orporatedin several so ial learning models of investment to generate interesting e�e ts.
10
signals are not too informative.
Even if the true a tion spa e is ontinuous, ungapped and unbounded, to the extent
that observers are unable to per eive or re all small fra tional di�eren es, the a tions of
their prede essors e�e tively be ome either noisy or dis rete. Dis retizing an potentially
ause as ades and information blo kage; noise similarly slows down learning. There
must be at least some e�e tive dis reteness or noise be ause real observers have �nite
per eptual and ognitive powers. At some point, it is literally physi ally impossible
for an observer to per eive arbitrarily small di�eren es in a tions. Even if per eption
were perfe t, it would also be impossible, in the absen e of in�nite time and al ulating
apa ity, to make use of arbitrarily small observed di�eren es in a tions. Thus, for
fundamental reasons there must be either noise, per eptual/analyti dis retizing, or
both.7
If per eptual dis retizing is very �ne-graded, the out ome will still be very lose to
full revelation. However, it is doubtful that per eption and analysis is onsistently �ne-
graded; onsider, for example, the tenden y for people to round o� numbers in memory
and onversation. Kahn, Penna hi, and Sopranzetti (2002) �nd lustering for retail
deposit interest rates around integers, and provide eviden e that is supportive of their
model in whi h this is aused by limited re all of investors.
2. Costless versus ostly private information a quisition
Individuals may observe private signals ostlessly in the ordinary ourse of life, or may
expend resour es to obtain signals. Most so ial learning models take the ostless route.
Costs of obtaining signals an lead to little a umulation of information in the so ial
pool for essentially the same reason as in other as ades or herding models. Individuals
have less in entive to investigate or observe private signals if the primary bene�t of
using su h signals is the information that su h use will onfer upon later individuals.
(Burguet and Vives (2000) analyze so ial learning with investigation osts). Indeed, if
an individual rea hes a situation where he optimally would not make use of a signal,
then learly it does not pay for him to expend resour es to obtain it. The out ome is
similar to that of the basi as ades model: information blo kage.
This suggests an extended de�nition of as ades that an apply to situations where
private signals are ostly to obtain. An investigative as ade is a situation where either:
7In the absen e of dis retizing, repeated opying will gradually a umulate noise until the information ontained in a distant past a tion is overwhelmed. This overwhelming of analog signals by noise whenthere is sequential repli ation is the reason that information must be digitized in the geneti ode ofDNA, and in information that is sent (with repeated reampli� ation of signals) over the internet.
11
1. An individual a ts without regard to his private signal; or,
2. The individual hooses not to a quire a ostly signal, but he would have a ted
without regard to that signal if he were for ed to a quire the same level of signal
pre ision that he would have a quired voluntarily if he were unable to observe the
a tions or payo�s of others.
Calvo and Mendoza (2001) study the de isions by individuals to investigate and
invest in di�erent ountries. If investigation of ea h ountry requires a �xed ost, they
�nd that the optimal amount of investigation of a ountry diminishes rapidly with the
number of ountries, leading to greater herding.
3. Observation of all past a tions versus a subset or statisti al summary of a tions
Instead of observing all past a tions, it may be that people an observe only the most
re ent a tions, a random sample, or an only observe the behavior of their neighbors.
Some models with these features are dis ussed elsewhere; we note here that in su h
settings mistaken as ades an still form. Alternatively, individuals may only be able
to observe a statisti al summary of past a tions. Information blo kage and as ades are
possible in su h a setting as well (Bikh handani, Hirshleifer, and Wel h (1992)). (With
ontinuous a tions, as dis ussed above, the out ome may be slow information aggregation
rather than as ade; Vives (1993).) A possible appli ation is to the pur hase of onsumer
produ ts. Aggregate sales �gures for a produ t matter to future buyers be ause it
reveals how previous buyers viewed desirability of alternative produ ts (Bikh handani,
Hirshleifer, and Wel h (1992), Caminal and Vives (1999)).8
3. Observation of past a tions a urately or with noise
In most so ial learning models any a tions that are observed at all are observed
a urately, but in some there is noise (see Vives (1993), Cao and Hirshleifer (1997)).
Under spe ial ir umstan es a model in whi h individuals learn from pri e is in e�e t
a basi so ial leaerning model with indire t observation of a noisy statisti al summary
of the past trades of others. But in general a market pri e s enario is more omplex;
the onsequen e for an individual of taking an a tion is not just an exogenous payo�
fun tion, but the result of an equilibrating pro ess.
4. Choi e of timing of moves versus exogenous moves
8A SmithKline Bee ham advertisement states, \Do tors have already endorsed Tagamet in thestrongest possible way. With their pres ription pads." The add shows a bar graph in three-dimensionalperspe tive in whi h 237 million pres riptions tower above a modest 36 million for Pep id. A minis ulefootnote reveals that the Tagamet �gure was sin e 1977, Pep id only sin e 1986!
12
Chamley and Gale (1994) o�er a model of irreversible investment in whi h individuals
with private signals about proje t quality have a hoi e as to whether to invest or delay.
This is therefore a model of optimal option exer ise. They �nd that in equilibrium there
is delay. The advantage of delay is that an individual an gain information by observing
the a tions of others. But if everyone were to wait, there would be no advantage to
delay. Thus, in equilibrium investors follow randomized strategies in de iding how long
to delay before being the �rst to invest. Investment by an individual an trigger imme-
diate further investment by others. Indeed, in the limit a period of little investment is
followed by either a sudden surge in investment or a ollapse. Thus, the model illustrates
simultaneity). In equilibrium as ades o ur and information is aggregated ineÆ iently.
Zhang (1997) o�ers a setting in whi h investors have private information not only
about proje t quality, but about the pre ision of their signals. In the unique symmetri
equilibrium, among investors with favorable signals, those whose signals are less pre ise
delay longer than those with more pre ise signals (be ause impre ise investors have
greater need for orroborating information before investing). In equilibrium there is
delay until the riti al investment date of the individual who drew the highest pre ision
is rea hed. On e he invests, other investors all immediately follow, though investment
may be ineÆ ient. This sudden onset of investment illustrates simultaneity in an extreme
form.
Chamley (2001) �nds that when individuals have di�erent prior beliefs, there are
multiple equilibria that generate di�erent amounts of publi information. Chari and
Kehoe (2000) show that when there is a binary de ision of whether or not to invest, but
an endogenous hoi e of timing, onsistent with Chamley and Gale (1994) and Zhang
(1997), ineÆ ient as ades still o ur. They �nd that even when there is a ontinuous
level of investment bounded below by zero, an ineÆ ient as ade on zero investment an
o ur (for reasons dis ussed earlier). They also �nd that as ades remain even when
individuals have the opportunity to share information, be ause individuals do not have
an in entive to ommuni ate truthfully.9
A number of other models des ribe how information blo kages, delays in investment
and periods of sudden investment hanges, and overshooting an o ur, either with
(Caplin and Leahy (1994), Grenadier (1999)) or without (Caplin and Leahy (1993),
Persons and Warther (1997)) informational as ades. Caplin and Leahy (1994) analyze
informational as ades in the an ellation of investment proje ts in a setting with en-
9Gul and Lundholm (1995) examine a model that allows for delay in whi h a ontinuous a tion spa eleads to full revelation and therefore no as ades.
13
dogenous timing. They �nd that that there an be sudden rashes in the investments
of many �rms triggered by individual an ellations. These models share the broad intu-
itions that informational externalities ause hoi es about whether and when to invest
to be taken in a way that is undesirable from a so ial point of view.
Persons and Warther (1997) o�er a model of boom and bust in the adoption of
�nan ial innovations based upon observation of the payo�s resulting from the repeated
a tions of other �rms. They �nd a tenden y for innovations to `end in disappointment'
even though all parti ipants are fully rational; a natural onsequen e of learning is that
the boom ontinues to grow until disappointing news appears. Zeira (1999) develops
related notions of informational overshooting to real estate and sto k markets.
5. Presen e of an evolving publi ly observable state variable
Grenadier (1999) examines informational as ades in options exer ise, in whi h an
exogenously evolving publi ly observable state variable in uen es the in entives to ex-
er ise the option. A small re ent move in the state variable an be the `straw that broke
the amel's ba k' in triggering informational as ades of option exer ise. Grenadier
suggests several appli ations, su h as \the building of an oÆ e building, the drilling of
an exploratory oil well, and the ommitment of a pharma euti al ompany toward the
resear h of a new drug."
6. Stable versus sto hasti hidden environmental variable
Bikh handani, Hirshleifer, and Wel h (1992) provide an example where the underly-
ing state of the world is sto hasti but unobservable. This an lead to fads wherein the
probability that a tion hanges is mu h higher than the probability of a hange in the
state of the world.
Perktold (1996) assumes a Markov pro ess on the value of the hoi e alternatives,
and individuals make repeated de isions over time. He �nds that as ades o ur and
break re urrently. Mos arini et al (1998) examine how long as ades an last as the
environment shifts. Nelson (2001) explores the relation between high orrelation of in-
dividual a tions and as ades. She o�ers a model of IPOs in whi h the de ision to
go publi is more likely to be asso iated with informational as ades than the de ision
to hold o�.10 Hirshleifer and Wel h (2002) onsider an individual or �rms subje t to
10Nelson also points out that are is needed in the testing of herding and as ades models if theproxy used is orrelation of behavior. She shows that there is often a lower orrelation of behavior in asetting with as ades than in a setting where all the information is made publi . This is be ause publi information indu es high orrelation in a tions: people onverge to the right a tion. On the other hand,if the ben hmark for omparison is one where ea h individual's information remains private, herdingand as ades will be asso iated with higher orrelation of a tion. So it is still reasonable in testing
14
memory loss about past signals but not a tions. They des ribe the determinants (su h
as environmental volatility) of whether memory loss auses inertia (a higher probabil-
ity of ontinuing past a tions than if memory were perfe t) or impulsiveness (a lower
probability).
7. Homogeneous versus heterogeneous payo�s
Individuals have di�erent preferen es, though this is probably more important in
non-�nan ial settings. Suppose that di�erent individuals value adoption di�erently. A
rather extreme ase is opposing preferen es or payo�s, so that under full information
two individuals would prefer opposite behaviors. If ea h individual's type is observable,
di�erent types may as ades upon opposite a tions.
However, if the type of ea h individual is only privately known, and if preferen es
are negatively orrelated, then learning may be onfounded| individuals do not know
what to infer from the mix of pre eding a tions they observe, so they simply follow their
own signals (Smith and Sorenson (2000)).
8. Endogenous ost of a tion: market models with pri e
This is a large topi that we over separately below.
9. Single or repeated a tions and private information arrival
Most models with private information involve a single irreversible a tion, and a single
arrival of private information. In Chari and Kehoe (2000), in ea h period one investor
re eives a private signal, and investors have a timing hoi e as to when to ommit to
an irreversible investment. In equilibrium there are ineÆ ient as ade. If individuals
take repeated, similar, a tions and ontinue to re eive non-negligible additional informa-
tion, a tions will of ourse be ome very a urate. However, there an still be short-run
ineÆ ien ies (e.g., Hirshleifer and Wel h (2002).
10. Dis rete signal values versus ontinuous signal values
Depending on probability distributions, possible to get limit as ades (Smith and
Sorenson (2000)) instead of as ades. As ommented by Gale (1996), the empiri al
signi� an e is mu h the same|information aggregation an be poor large periods of
time.
11. Exogenous rules versus endogenous ontra ts and institutional stru ture
Some papers that examine how the design of institutional rules and of ompensation
ontra ts a�e ts herding and informational as ades in proje t hoi e in lude Prender-
gast (1993), Khanna (1997), and Khanna and Slezak (2000) (dis ussed below); see also
su h models to examine behavioral onvergen e. But a fuller test of su h models would look examinewhether high onvergen e in behavior is a hieved without high a ura y of de isions.
15
Ottaviani and Sorenson (2001).
3.2.2 Observation of Consequen es of Past A tions
Vi arious learning is so powerful that one might expe t that observing past payo�s would
eliminate information blo kages and lead to onvergen e upon orre t a tions. Indeed,
in an imperfe tly rational setting, Banerjee and Fudenberg (1999) �nd onvergen e to
eÆ ient out omes if people sample at least two prede essors. On the other hand, as em-
phasized by Shiller (2000a), in pra ti e imperfe t rationality makes onversation a very
imperfe t aggregator of information. This suggests that biases indu ed by onversation
may be important for sto k market behavior.
Even under full rationality, it should be noted that the Banerjee/Fudenberg setting
always leaves a ri h inventory of information to draw from. In ea h period a ontinuum
of individuals try all hoi e alternatives, so there is always a po ket of information
available about the payo� out ome of either proje t. Cao and Hirshleifer (2000) examine
a setting that is loser to the basi as ades model. There are two alternative proje t
hoi es, ea h of whi h has an unknown value-state. Payo�s are in general sto hasti
ea h period onditional on the value-state. Individuals re eive private signals and a t in
sequen e, and individuals an observe all past a tions and proje t payo�s. Nevertheless,
idiosyn rati as ades still form. For example, a sequen e of early individuals may
as ade upon proje t A, and its payo�s may be ome visible to all, perhaps revealing the
value-state perfe tly. But sin e the payo�s of alternative B are still hidden, B may be
the superior proje t. Indeed, the ability to observe past payo�s an sometimes trigger
as ades even more qui kly-an indi ation of parodoxi ality.
Caplin and Leahy (1993) examine a setting where potential industry entrants learn
indire tly from the a tions of previous entrants by observing industry market pri es.
Entrants do not possess any private information prior to entry. Imperfe t information
slows the adjustment of investment to se toral e onomi sho ks. (On the informational
and a tion onsequen es of �rms observing past payo�s, see also Persons and Warther
(1997) dis ussed earlier.)
3.3 Imperfe tly Rational Individuals
So far we have fo used primarily on fully rational models. Some models that assume
either me hanisti or imperfe tly rational de isionmakers in lude Ellison and Fudenberg
(1993, 1995) (rules of thumb), Hirshleifer, Subrahmanyam, and Titman (1994) (`hubris'
16
about the ability to obtain information qui kly), Bernardo and Wel h (2001) (over on-
�den e), Hirshleifer and Noah (1999) (mis�ts of several sorts), Hirshleifer and Wel h
(2002) (memory loss about past signals),
In the rules of thumb approa h the behavior of agents is spe i�ed based on analyti al
onvenien e, or on the resear her's judgment that the rule of thumb or heuristi would be
a reasonable one for agents with limited ognitive powers to follow. The other approa h is
to draw on experimental psy hology to suggest assumptions about imperfe t rationality
of agents in the model. Both approa hes have merit, but for both, veri� ation of the
behavioral assumptions is desirable. In parti ular, even behavioral assumptions that are
based broadly upon psy hologi al eviden e are usually not based upon experiments that
are very lose to the parti ular e onomi setting being modeled.
In Smallwood and Conlisk (1979), hoi es are based on payo�s re eived, and on
market share of the hoi e alternatives. Ellison and Fudenberg (1995) spe ify that an
individual takes an a tion if all individuals in the sample are using it, or if they obtained
a higher average payo� using the a tion than the alternative. In Ellison and Fudenberg
(1993), de isions are based upon past payo�s from a sample of observations from past
adoptions, and based upon the market shares of hoi e alternatives.
If individuals use a diversity of de ision rules (whether rational, quasi-rational, or
simple rules of thumb), then there will be greater diversity of a tion after a as ade
among rational individuals starts. This a tion diversity an be informative, and an
break as ades (Bernardo and Wel h (2001), Hirshleifer and Noah (1999)). This im-
proves the eÆ ien y of the hoi es of rational individuals in the long run.
There are many other possible dire tions to take imperfe t rationality and so ial
learning. Eviden e of emotional ontagion within groups suggests that there may be
merit to the popular views about ontagious manias or fads (see also Shiller (2000b),Lyn h
(2000), and Lux (1995)). On the other hand, some histori ally famous bubbles, su h as
that if the Dut h Tulip Bulbs, may have re e ted information rationally and fully (see,
e.g., Garber (2000)). Furthermore, there are rational models of bubbles and rashes that
do not involve herding (see, e.g., the agen y/intermediation model of Allen and Gale
(2000a), and the review of Brunnermeier (2001)).
We argue elsewhere that limits to investor attention are important for �nan ial re-
porting and apital markets (see the review of Daniel, Hirshleifer, and Teoh (2002), and
the model of Hirshleifer, Lim, and Teoh (2001)). Su h limits to attention may pressure
individuals to herd or as ade despite the availability of a ri h set of publi and private
information signals (beyond past a tions of other individuals). A related issue is whether
17
the tenden y to herd or as ade greater when the private information that individuals
re eive is hard to pro ess ( ognitive onstraints and the use of heuristi s for hard de-
ision problems were emphasized by Simon (1955); in the ontext of so ial in uen e,
see Conlisk (1996)). In this regard, Kim and Pantzalis (2000) provide eviden e that
apparent herd behavior by analysts is greater for diversi�ed �rms, for whi h the task
that analysts fa e is more diÆ ult.11
DiÆ ulty in analyzing opaque a ounting reports has been widely raised in the press
as a sour e of the re ent Enron deba le. In testimony to the House of Representatives on
De ember 12, 2001, the Dire tor of Thompson/First Call indi ated that when analysts
an not disentangle a �rm's a ounting there, tends to be greater herding in analyst
fore asts (i.e., smaller dispersion in fore asts) than is the ase for the average S&P 500
�rm.
3.4 Market Pri es, Herding, and Informational Cas ades
If markets are perfe t and investors are rational, then risk-adjusted se urity returns
are unpredi table. We will refer to this ombination of onditions- full rationality and
perfe t markets- as ` lassi al.' By perfe t markets we mean that ea h investors trades
as if he an buy or sell any amount at a given market pri e. Thus, even though a
rational expe tations model su h as that of Grossman and Stiglitz (1976) has information
asymmetry, sin e individuals per eive that they an trade at a given pri e, we view this
as a perfe t market. Furthermore, in a lassi al market there is neither an ex ess nor
a shortfall in pri e volatility relative to publi news arrival about fundamental value
(where we in lude as `publi ' even information that was originally private but whi h an
be rationally inferred by observing market pri es or trading) . It follows immediately
that fully rational models of as ades or herding annot explain anomalous eviden e
regarding return predi tability or ex ess volatility (for re ent reviews of theory and
eviden e relating to investor psy hology in apital markets, see, e.g., Hirshleifer (2001),
Daniel, Hirshleifer, and Teoh (2002)).
This is not to deny that information blo kages and herding may a�e t pri es. What
this does show is that to explain return patterns that are anomalous from the lassi al
viewpoint, it is ne essary to introdu e either market imperfe tions or failures of human
11Some physi ists and mathemati ians have o�ered heavily-engineered models of me hanisti agentsto examine the relation of herd behavior to pri e distributions (see, e.g., Cont and Bou haud (1999)). Anearly analysis of dire t preferen e for onformity was provided by Kuran (1989), but the informationalimpli ations have not been fully explored.
18
rationality.
Even within a fully rational setting, as ades or herding an have the serious e�e t
of blo king information aggregation. The properties of return unpredi tability, and of
orre t volatility in a lassi al market are relative to the information that an be inferred
from publi ly observable variables in luding market pri es and volumes. However, the
existen e of as ades an a�e t how mu h information goes into that information set in
two ways. First, it an ause some information to remain private whi h otherwise would
be re e ted in and inferable from pri es and trades. Se ond, it an ause individuals
to hange their investigation behavior, potentially redu ing the amount of private and
publi information that is generated in the �rst pla e.
Vives (1995) analyzes the rate of learning in ompetitive se urities markets. The
intuition is similar to the intuition in herding models with exogenous a tion osts. An
informed trader does not internalize the bene�t that other traders have from learning
his private information as revealed through trading. Thus, the rate of onvergen e of
pri e to eÆ ien y is slow.
In Glosten and Milgrom (1985), even though the a tion spa e is dis rete, there are
no informational as ades. This fa t has stimulated some analysis of how endogeneity
of pri es an a t to prevent as ades. In simple trading settings, as ades annot o ur
(see Avery and Zemsky (1998)). Intuitively, as ade would ontradi t market learing.
Se urities pri es should aggregate private information through trading. If there were a
as ade where informed traders were buying regardless of their signals, then a fortiori
so would uninformed traders. If the optimal response to even an adverse signal is to
buy, then so is the reponse to having no signal. But if, foreseeably, both informed and
uninformed are trying to buy, the marketmaker ought to have set pri es di�erently.
However, if there are multiple dimensions of un ertainty, then something akin to a
as ades an o ur. It is standard to assume that informed investors know more than
the market maker about the expe ted payo� of the se urity. Avery and Zemsky intro-
du e a se ond informational advantage to informed investors over the market maker{
un ertainty over whether informative signals were sent. In onsequen e, a pri e rise
an en ourage an investor with an adverse signal to buy when there is a transa tion
ost or bid-ask spread. The pri e rise persuades the investor that others possess fa-
vorable information, whereas the market maker adjusts pri es sluggishly in response to
this good news. This relative sluggishness of the marketmaker arises from his igno-
ran e over whether an informative signal was sent. Informed traders-even those with
adverse signals-at least know that information signals were sent, so that the previous
19
order probably ame from a favorably informed trader. In ontrast, the market maker
pla es greater weight on the possibility of a liquidity trade.
The behavior des ribed by Avery and Zemsky is very as ade-like, in that the individ-
ual is a ting in opposition to his private signal- a rather extreme behavioral oarsening.
However, it is in fa t not a true informational as ade. When no information signal
is re eived, the investor takes a di�erent a tion from when information is re eived. So
there are really three possible signal realizations-favorable, unfavorable, and no signal.
A tion is in fa t dependent on this appropriately rede�ned signal. In any ase, this
pseudo- as ading phenomenon leads to partial information blo kage.
It is worth noting that in a di�erent setting, true as ades may indeed o ur. Suppose
that A is sometimes informed, when A is informed B is aware that A is informed, but
C is not informed and does not know when others are informed. As usual there is also
non-information-based (`liquidity') trading. Then there would seem to be a bene�t to B
of imitating A's trade, and for C to take up the sla k.
Gervais (1996) �nds information blo kage owing to bid-ask spreads. In his model,
there is un ertainty about investors' information pre ision. Trading o urs over many
periods yet trader private information is not in orporated into pri e. Informed investors
re eive a signal and know the pre ision of the signal, but the market-maker does not.
Initially a high bid-ask spread a ts as a �lter by deterring trade by informed investors
unless they have high pre ision. However, as the market-maker observes whether trade
o urs, he is able to update about signal pre ision and about the value of the asset.
Owing to his in reased knowledge over time the market-maker narrows the spread. This
narrowing auses even investors with impre ise signals to trade, so eventually the market-
maker stops learning about investors' information pre ision. This independen e of the
de ision to trade from the private information about pre ision is a behavioral oarsening,
and auses this type of information to remain forever private.
Cipriani and Guarino (2001a) extend Glosten/Milgrom to a multiple se urity setting.
They allow for traders that have non-spe ulative motives for trading. In Cipriani and
Guarino, the trading of informed investors auses information to be partly re e ted in
pri e. As pri es be ome more informative, at some point one more of the onditionally
independent private signals auses a rather small update in expe ted fundamental value.
As a result, an investor who has a non-spe ulative reason to pur hase the se urity �nds
it pro�table to pur hase the se urity even if his private information signal is adverse.
In other words, he is in a as ade. Similarly, investors who have a non-spe ulative
motive to sell do so regardless of their signal. With all informed investors in a as ade,
20
further aggregation of information is ompletely blo ked. Thus, in ontrast to Avery and
Zemsky, informational as ades proper form. Furthermore, as ades lead to ontagion
a ross markets.
In Lee (1998) there are quasi- as ades that result in temporary information blo kage,
then avalan hes. This arises from transa tions osts and dis reteness in trades, whi h
lead to behavioral oarsening. In sequential trading, hidden information be omes a u-
mulated as the market rea hes a point at whi h, owing to transa tions osts, trading
temporarily eases. Eventually a large amount of private information an be revealed
by a small triggering event. The triggering event is a rare, low probability adverse sig-
nal realization. An individual who draws this signal value sells. Other individuals who
observe this sale are drawn into the market, ausing a market rash or `avalan he.'
These papers apply a sequential trading approa h. Beaudry and Gonzalez (2000)
apply a rational expe tations (simultaneous trading) modeling approa h to show that
as ading o urs when information is ostly to a quire, leading to pri e and investment
u tuations. Like these other papers, investment is a dis rete de ision.12
A key issue regarding the o urren e of information blo kage in these models is the
signi� an e of the assumption of dis rete a tions. Any model that attempts to explain
empiri al phenomena su h as market rashes as (quasi-) as ades must alibrate with
respe t to the size of minimum trade size or pri e movements. Su h onstraints are
most likely to be signi� ant for illiquid markets.13
Perhaps the more important role of as ades is likely to be in the de ision of whether
or not to parti ipate at all, rather than in the de ision of whether to buy or sell. If
there is a �xed ost (perhaps psy hi ) of parti ipating, then there an be a substantial
dis reteness to individual de isions that does not rely in any way upon limiting the size
of trades to a single unit. Or, if people are imperfe tly rational, so that there is some
sort of barrier to their parti ipating, again there an be as ades of parti ipation versus
non-parti ipation.
In the ontext of risk regulation, Kuran and Sunstein (1999) develop the notion
of availability as ades; their ideas are appli able to se urity market a tivity. If high
publi ity about a �rm or market theory makes the �rm more salient and `available'
12Chakrabarti and Roll (1997) o�er a simulation analysis of the e�e ts of investors learning by ob-serving the trades of others. They report that under some market onditions learning by observingothers redu es market volatility and in others in reases volatility.
13In a short run level, the expe tation that NYSE spe ialists will maintain an `orderly market' bykeeping pri es ontinuous an potentially for e temporary deviations of pri es from market values, blo kinformation ow. This suggests a relevan e of as ade only in extreme ir umstan es.
21
to investors. This may en ourage as ades of investment (Huberman (1999) provides
eviden e and insightful dis ussion about the e�e t of familiarity on investment). Lo al
biases in investment (see, e.g., Coval and Moskowitz (2001)), and the home bias puzzle of
international �nan e (see, e.g., Tesar and Werner (1995), Lewis (1999)) may be examples
of availability as ades. In any ase as ades in market parti ipation o�er a ri h avenue
for further analyti al exploration.
There is starting to be some exploration of the formation and learing of information
blo kages asso iated with the hoi e of individuals over time as to whether or not to
parti ipate in trading (Romer (1993), Lee (1998), Cao, Coval, and Hirshleifer (2001),
and Hong and Stein (2001)). In settings with limited parti ipation, large rashes an be
triggered by minimal information, and the sidelining and entry of investors an ause
skewness and volatility to vary onditional upon past pri e moves. (Bulow and Klem-
perer (1994) onsider a di�erent setting with asymmetri revelatory e�e ts of trading.)
4 Agen y/Reputation-Based Herding Models
In the seminal paper on reputation and herd behavior, S harfstein and Stein (1990)
onsider two managers fa e identi al binary investment hoi es. Managers may have
high or low ability, but neither they nor outside observers know whi h. Observers infer
the ability of managers from whether their investment hoi es are identi al or opposite,
and then update based upon observing investment payo�s. Managers are paid a ording
to observers' assessment of their abilities. It is assumed that high ability managers will
observe identi al signals about the investment proje t, whereas low ability managers
observe independent noise.
There is a herding equilibrium in whi h the �rst manager makes the hoi e that his
signal indi ates, whereas the se ond manager always imitates this a tion regardless of
his own signal. If the se ond manager were to follow his own signal, observers would
orre tly infer that his signal di�ered from the �rst manager, and as a result they would
infer that both managers are probably of low quality. In ontrast, if he takes the same
hoi e as the �rst manager, even if the out ome is poor, observers on lude that there
is a fairly good han e that both managers are high quality and that the bad out ome
o urred by han e. Thus, their model aptures the insight of John Maynard Keynes
that \it is better to fail onventionally than to su eed un onventionally."
Rajan (1994) onsiders the in entive for banks with private information about bor-
rowers to manage earnings upward by relaxing their redit standards for loans, and by
22
refraining from setting aside loan-loss reserves. When there is a bad aggregate state
of the world, even the loans of high ability managers do poorly. Thus, observers do
not `punish' a banker reputationally as mu h for setting aside loan-loss reserves if other
banks are doing so as well. Thus, the set-aside of reserves by one bank triggers set-
asides by other banks. This simultaneity in the a tions of banks is somewhat analogous
to the delay and sudden onset of informational as ades in the models Zhang (1997)
and Chamley and Gale (1994). Furthermore, Rajan shows that banks tighten redit in
response to de lines in the quality of the borrower pool. Thus banks amplify sho ks to
fundamentals. Rajan provides eviden e from New England banks in the 1990s of su h
delay in in reasing loan loss reserves, followed by sudden simultaneous a tion.
Trueman (1994) onsiders the reputational in entives for sto k market analysts to
herd in their fore asts of future earnings. We over this paper in the next se tion.
One of his �ndings is that analysts have an in entive to make fore asts biased toward
the market's prior expe tation. In a similar spirit, Brandenburger and Polak (1996)
show that a �rm with superior information an have a reputational in entive to make
investment de isions onsistent with the prior belief that observers have about whi h
proje t hoi e is more pro�table. Intuitively, even if the prior-disfavored proje t hoi e
is the more pro�table of the two alternatives and even if observers assume that the
manager will make the pro�t-maximizing hoi e, the market may still be disappointed
that the prior-favored hoi e was not the more pro�table of the alternatives. This
an o ur, for example, if the likely driver of sele tion of the prior-disfavored hoi e
is disappointing information about the prior-favored alternative. Where these papers
fo us on pleasing investors, Prendergast (1993) examines the in entives for subordinate
managers to make re ommendations onsistent with the prior beliefs of their superiors.
Where in S harfstein and Stein it is better to fail as part of the herd than to su eed
as a deviant, Zwiebel (1995) des ribes a s enario in whi h it is always best to su eed,
but where the fa t that a manager's su ess is measured relative to others sometimes
auses herding. The �rst premise of the model is that there are ommon omponents of
un ertainty about managerial ability. As a result, observers exploit relative performan e
of managers to draw inferen es about di�eren es in ability. The se ond premise is that
managers are averse to the risk of being exposed as having low ability (perhaps be ause
the risk of �ring is nonlinear). For a manager who follows the standard behavior, the
industry ben hmark an quite a urately �lter out the ommon un ertainty. This makes
following the industry ben hmark more attra tive for a fairly good manager than a poor
one, even if the innovative proje t sto hasti ally dominates the standard proje t. The
23
alternative of hoosing a deviant or innovative proje t is highly risky in the sense that
it reates a possibility that the manager will do very poorly relative to the ben hmark.
Thus, the model o�ers an alternative explanation for orporate onservatism to the
herd-free reputational models of Hirshleifer and Thakor (1992) and Prendergast and
Stole (1996), and the memory-loss approa h of Hirshleifer and Wel h (2002).
However, in Zwiebel's model a very good manager an be highly on�dent of beating
the industry ben hmark even if he hooses a risky, innovative proje t. If this proje t is
superior, it pays for him to deviate. Thus, intermediate quality managers herd, whereas
very good or very poor managers deviate. Zwiebel's approa h is suggestive that under
some ir umstan es portfolio managers may herd by redu ing the risk of their portfolios
relative to a sto k market or other index ben hmark, but under others may intentionally
deviate from the ben hmark. Several papers pursue these and related issues su h as
optimal ontra ting in detail (see, e.g., Maug and Naik (1996), Gumbel (1998), Huddart
(1999), and Hvide (2001)). S iubba (2001) provides a model of herding by portfolio
managers in relation to past performan e. Brennan (1993) analyzes the asset pri ing
impli ations of su h index-herding behavior.
In some models a prin ipal designs institutions and/or ompensation s hemes in the
fa e of managerial in entives to engage in informational as ades or making hoi es
to mat h an observer's priors (Prendergast (1993) [dis ussed above℄, Khanna (1997),
Khanna and Slezak (2000)). Khanna (1997) examines the optimal ompensation s heme
when managers have in entives to as ade in their investment de isions. He examines
a setting in whi h the managers of ompetitor �rms an investigate to generate private
signals. A manager may delay investigation in the expe tation of gleaning information
more heaply by observing the behavior of the ompetitor. A manager may also observe
a signal but as ade upon the a tion of an earlier manager. Khanna des ribes opti-
mal ontra ts that address the in entives to investigate and to as ade, and develops
impli ations for ompensation and investments a ross di�erent industries.14
Khanna and Slezak (2000) provide an intra-�rm model in whi h the tenden y for
as ades to start among managers redu es the quality of proje t re ommendations and
hoi es. This is a disadvantage of `team de isions,' in whi h managers make de isions
sequentially and observe ea h others' re ommendations. In entive ontra ts that elimi-
nate as ades may be too ostly to be desirable for the shareholders. A hub-and-spokes
hierar hi al stru ture where managers independently report re ommendations to a su-
14See also Grant, King, and Polak (1996) for a review of informational externalities in a orporate ontext when there are share pri e in entives.
24
perior eliminates as ades, but requires superiors to in ur osts of monitor subordinates
to ensure that subordinates do not ommuni ate. Thus, under di�erent onditions the
optimal organizational form an be either teams or hierar hy.
5 Herd Behavior and Cas ades in the Analysis of
Se urities
5.1 Herd Behavior in Investigation and Trading
In an informational as ades setting where individuals have to pay a ost to obtain their
private signals, on e a as ades starts individuals have no reason to investigate. In se u-
rity market settings, the assumption that the aggregate varian e of noise trading is large
enough to in uen e pri es non-negligibly (as in the seminal paper of DeLong, Shleifer,
Summers, and Waldmann (1990) and subsequent models of exogenous noise) impli itly
re e ts an assumption that individuals are irrationally orrelated in their trades. This
ould be a result of herding (whi h involves intera tion between the individuals), or
merely a ommon irrational in uen e of some noisy variable on individuals' trades.15
The analysis of Brennan (1990) was seminal in illustrating the possibility of herd
behavior in the analysis of se urities. He provided an overlapping generations model in
whi h private information about a se urity is not ne essarily re e ted in market pri e the
next period. This o urs in a given period only if a pre-spe i�ed number of individuals
had a quired the signal. Thus, the bene�t to an investor of a quiring information about
an asset an be low if no other investor a quires the information. However, if a group of
investors oordinate to a quire information than the investors who obtain information
�rst do well. Sin e the setting is spe ial it has stimulated further work to see if herding
an o ur in settings with greater resemblan e to standard models of se urity trading
and pri e determination.
Froot, S harfstein, and Stein (1992) o�er a model that endogenizes pri e determina-
tion more fully. In their setting, investors with exogenous short horizons �nd it pro�table
to herd by investigating the same sto k. In so doing they are, indire tly able to e�e t
what amounts to a ta it manipulation strategy. When they buy together the pri e is
driven up, and then they sell together at the high pri e. Thus, herding even on `noise'
(a spurious uninformative signal) is pro�table.
15Gole (1997) provides a possible example of su h a ommon irrational in uen e. He alls this`herding on noise,' one of our two possible interpretations.
25
However, even in the absen e of opportunities for herding there is a potential in-
entive for individuals, a ting on their own, to e�e t su h manipulation strategies. If
individuals are allowed to trade to `arbitrage' su h manipulation opportunities, it is not
lear that su h opportunities an in equilibrium persist. This raises the question of
whether there are in entives for herding per se rather than for herding as an indire t
means of manipulation.16
Hirshleifer, Subrahmanyam, and Titman (1994) examine the se urity analysis and
trading de isions of risk averse individuals, where investigation of a se urity leads some
individuals to re eive information before others. They �nd a tenden y toward herding.
The presen e of investigators who re eive information late onfers an obvious bene�t
upon those who re eive information early- the late informed drive the pri e in a dire tion
favorable to the early-informed. But by the same token, the early-informed push the
pri e in a dire tion unfavorable to the late-informed. The key to the model's herding
result is that the presen e of the late-informed allows the early-informed to unwind their
positions sooner. This allows the early-informed to redu e the extraneous risk they would
have to bear if, in order to pro�t on their information, they had to hold their positions
for longer. This risk-redu tion that the late-informed onfer upon the early informed
is a genuine ex ante net bene�t- it is not purely at the expense of the late informed.
Over on�den e about the ability to be ome informed early further en ourages herding
in this model; ea h investor expe ts to ome out the winner in the ompetition to study
the `hot' sto ks.
Holden and Subrahmanyam (1996) show that there an also be herding in the hoi e
of whether to study short-term or long-term information about the sto k. Intuitively,
exploiting long-term information again involves the bearing of more extraneous risk,
whi h an be ostly.
5.2 Herd Behavior by Sto k Analysts and other Fore asters
Several studies of fore asters have reported herding or herding-like �ndings. Ashiya and
Doi (2001) report that Japanese ma ro-e onomi fore asters herd in their fore asts, re-
gardless of their age. Ehrbe k and Waldmann (1996) �nd, onsistent with psy hologi al
bias rather than rational reputational-oriented bias, that e onomi fore asters bias their
fore asts in dire tions hara teristi of high mean-squared-error fore asters. However,
16Another interesting question is whether short horizons an be derived endogenously. Dow andGorton (1994) �nd that owing to the risk of trading on long-term information, pri es will not fullyre e t private information.
26
the analyti al literature on sto k market analysts has fo used on rational reputational
reasons for bias.
Analyst earnings fore asts are biased, as do umented by Givoly and Lakonishok
(1984), Brown, Foster, and Noreen (1985), and many more re ent authors. Fore asts
are generally optimisti in the U.S. and other ountries, espe ially at horizons longer
than one year (see e.g. Capsta�, Paudyal, and Rees (1998) and Brown (2001)). More
re ent eviden e indi ates that analysts' fore asts have be ome pessimisti at horizons of
3 months or less before the earnings announ ement (Brown (2001), Matsumoto (2001)
and Ri hardson, Teoh, and Wyso ki (2001)).
Sti kel (1992) �nds that the ompensation re eived by analysts is related to its rank-
ing in a poll by Institutional Investor about the best analysts. Furthermore, fore asts
by members of Institutional Investor's of `All-Ameri an Resear h Team' were more a -
urate than those of non- members. These �ndings suggests that analysts may have an
in entive to adjust their fore asts to maintain good reputations for high a ura y.
Mikhail, Walther, and Willis (1999) �nd that analysts whose fore asts are less a -
urate than peers are more likely to turn over. This importan e of relative evaluation
supports the premise of reputational models of herding. However, they �nd no relation
between either absolute or relative pro�tability of an analyst's re ommendations and
probability of turnover. Hong, Kubik, and Solomon (2000) �nd eviden e suggesting
that there are reputational in entives for analyst herding. Less experien ed analysts are
more likely to be terminated for `bold' fore asts that deviate from the onsensus fore ast
than are experien ed ones, suggesting that the pressure to build reputation is strongest
for analysts for whi h un ertainty about ability is greatest.
Trueman (1994) provide a model in whi h analysts tend to issue fore asts that are
biased toward prior earnings expe tations, and also herd in the sense that fore asts are
biased toward those announ ed by previous analysts. In his analysis, an analyst has a
greater tenden y to herd if he is less skillful at predi ting earnings-it is less ostly to
sa ri� e a poor signal than a good one.
Sti kel (1990) �nds that hanges in onsensus analyst fore asts are positively related
to subsequent revisions in analyst's fore asts, apparently onsistent with herd behavior.
This relationship is weaker for the high-pre ision analysts who are members of the `team'
than for analysts who are not. Thus, it appears that members of the `team' are less prone
to herding than non-members. This is onsistent with the predi tion of the Trueman
model.
Experimental eviden e involving experien ed professional sto k analysts has also
27
supported the model (Cote and Sanders (1997)). Cote and Sanders report that these
fore asters exhibited herding behavior. Furthermore, the amount of herding was related
to the fore asters' per eption of their own abilities and their motivation to preserve or
reate their reputations.
In ontrast, Zitzewitz (2001) provides a methodology for estimating the degree of
herding versus exaggeration of di�eren es (the opposite of herding) by analysts. He
reports that in fa t analysts on average exaggerate their di�eren es. He also �nds that
analysts under-update their fore asts in response to publi information, indi ating an
overweighting of prior private information. This eviden e opposes the on lusion that
analysts on the whole herd. It is potentially supportive of reputational models in whi h
some individuals intentionally diverge (e.g., Prendergast and Stole (1996)), or with over-
on�den e on the part of analysts in their private signals.
It is also often alleged that analysts herd in their hoi e of what sto ks to follow.
There is very high variation in analyst overage of di�erent �rms Bhushan (1989). In
his sample, the average number of analysts following a �rm was approximately 14, but
a number of �rms were followed by only 1 analyst; the maximum number of analysts
was 77. This is not in onsistent with herding by analysts in their overage de isions,
and indire tly by the investors that listen to them. But in the absen e of any �rst-best
ben hmark for the dispersion of analyst following a ross �rms, it is hard to draw any
on lusion on this issue
There are also allegations that analysts herd in their sto k re ommendations. This
issue is studied by Wel h (2000), who �nds that revisions in the buy and sell sto k
re ommendations of a se urity analyst are positively related to revisions in the buy and
sell re ommendations of the next two analysts. He tra es this in uen e to short-term
information, identi�ed by examination of the ability of the revision to predi t subsequent
returns.17
Wel h also �nds that analysts' hoi es are orrelated with the prevailing onsensus
fore ast. Wel h further �nds that the `in uen e' of the onsensus on later analysts is not
stronger when it is a better predi tor of subsequent sto k returns. In other words, the
eviden e is onsistent with analysts herding even upon onsensus fore asts that aggregate
information poorly. This is onsistent with agen y e�e ts su h as reputational herding,
or ould re e t imperfe t rationality on the part of analysts. Finally, Wel h �nds an
asymmetry, that the tenden y to herd is stronger when re ent returns have been positive
17This ould re e t as ading, or ould be a lustering e�e t wherein the analysts ommonly respondto a ommon, independently observed signal.
28
(`good times') and when the onsensus is optimisti . He spe ulates that this ould lead
to greater fragility during sto k market booms, and the o urren e of rashes.
The eviden e on the re ommendations of investment newsletters on herding is mixed.
Ja�e and Mahoney (1999) report only weak eviden e of herding by newsletters in their
re ommendations over 1980-96. However, Graham (1999) develops and tests an expli it
reputation-based model of the re ommendations of investment news letters, in the spirit
of S harfstein and Stein (1990). He �nds that analysts with better private information
are less likely to herd on the market leader, Value Line investment survey. This �nding is
onsistent with the models of S harfstein and Stein (1990) and Bikh handani, Hirshleifer,
and Wel h (1992).
6 Herd Behavior and Cas ades in Se urity Trading
Some so iologists have emphasized that the `weak ties' of liaison individuals, who onne t
partly-separated so ial networks, are important for spreading behaviors a ross networks
(Granovetter (1973). A re ent literature in e onomi s has examined the strength of
peer-group e�e ts in a number of di�erent ontexts (see, e.g., Weinberg, Reagan, and
Yankow (2000), and the survey of Glaeser and S heinkman (2000)). In a apital mar-
kets ontext, Shiller and Pound (1989) �nd based on questionnaire/survey eviden e that
word-of-mouth ommuni ations are reported to be important for the trading de isions
of both individual and institutional investors. Two re ent studies report that employees
are in uen ed by the hoi es of oworkers in their de isions of whether to parti ipate
in di�erent employer-sponsored retirement plans ((Du o and Saez 2000), Madrian and
Shea (2000)). Kelly and O'Grada (2000) and Hong, Kubik, and Stein (2001) provide
further eviden e that so ial intera tions between individuals a�e ts de isions about eq-
uity parti ipation and other �nan ial de isions. A theoreti al analysis of learning from
neighbors is provided by Bala and Goyal (1998).
6.1 The Endorsement E�e t
A ording to informational as ades theory, endorsements an be extremely in uential
if the endorser has a reputation for a ura y, and if the endorsement involves an a tual
informative a tion by the expert. This ould take the form of knowing that the expert
took a similar a tion (buying a sto k), but ould also involve the expert investing his
reputation in the sto k by re ommending it.
29
The hoi e by a big-�ve auditor, top-rank investment bank, or venture apital to
invest its reputation in ertifying a �rm in uen es investor favorably toward the �rm.18
Furthermore, just as shopping mall developers use `an hor' stores to attra t other stores,
a ording to M Gee (1997) some IPO underwriters have been using the names of well-
known investors as `an hors' to attra t other investors.19
There are many examples of in uential investors, some more benign than others. In a
story entitled \Pied Piper of Biote h Keeps Followers Happy with Cut-Rate Sto k," the
Wall Street Journal, 5/7/92 says \Wherever David Bel h invests his money , a rowd
of sto kbrokers and money managers is sure to follow. `David Ble h is the single most
important for e in the biote h industry,' says Ri hard Bo k, a sto kbroker... I follow
whatever sto k he goes into, knowing it will be a su ess.' "
Some investors are in uen ed in old- alls by brokers by statements that famous
investors are holding a sto k (see Lohse (1998) on \Tri ks of the Trade: `Bu�ett is Buying
This' and other Sayings of the Cold-Call Crew"). (Sin e Bu�ett is typi ally a passive
investor, his in uen e re e ts per eptions that he is well informed rather than that he
will reorganize the �rm.) One investment digest expli itly gave as its key reasoning for
spotlighting a sto k the fa t that Bu�ett was involved in it (Davis (1991)).
When news ame out that Warren Bu�ett had bought approximately 20% of the 1997
world silver output, a ording to The E onomist (1998) silver pri es were sent \soaring."
When Warren Bu�ett's �lings reporting his in reased shareholding in Ameri an Express
and in PNC Bank be ame publi , these shares rose by 4.3% and 3.6% respe tively
(Obrien and Murray (1995)).
A ording to Sandler and Raghavan (1996), \Whether Warren Bu�ett has been
right or wrong about a sto k, investors don't like to see him get out if they're still in.
Some investors in Saloman are fo using almost entirely on the famed Omaha, Neb.,
18See the models of Titman and Trueman (1986), and Datar, Feltham, and Hughes (1991), and theeviden e of Beatty and Ritter (1986), Booth and Smith (1986), Johnson and Miller (1988), Beatty(1989), Carter and Manaster (1990), Feltham, Hughes, and Simuni (1991), Simuni (1991), Megginsonand Weiss (1991), Mi haely and Shaw (1995), and Carter, Dark, and Singh (1998). A salient re entexample of this erti� ation e�e t is the drop of 36% in the shares of Emex when First Boston deniedEmex's laim that it was their investment banker (Remond and Hennessey (2001)).
19\As any fashion house knows, stit hing a designer label on a pair of jeans allows it to harge two orthree times the going rate for pants. Now, battling to set themselves apart from the rowd, and enti emore investors to their initial publi o�erings of sto k, edgling te hnology ompanies with unprovenprodu ts and no earnings are bragging of their ties to sto k-market winners like Mi rosoft Corp., Cis oSystems In . or Ameri an Online In . Never mind that some of these an hor investors don't appearto be pi ky; they invest in bun hes of smaller ompanies be ause they know that not every investmentwill pan out. The fa t is, the hype works..." The arti le gives several examples in whi h te h sto kanalysts and investors may have been in uen ed by the a het of an hor investors.
30
multibillionaire's de ision, announ ed Sept. 12, ..." to onvert Salomon preferred shares
into ommon shares instead of taking ash.
Investing human apital is also form of endorsement; for example, when it was an-
noun ed that John S ully was signing on as hairman and CEO of the little known
�rm Spe trum Information Te hnologies In ., its sto k jumped by lose to 46%.20 The
in uen e of sto k market `gurus' is a sort of endorsement, but in some ases investors
seem irrationally in uen ed by well-known but in ompetent analysts. This may involve
a limited attention/availability e�e t wherein investors use an analyst's visibility fame
as an indi ator of ability. A would-be guru an exploit the aws of this heuristi by using
even outlandish publi ity stunts to gain notoriety; see, e.g., the des ription of Joseph
Granville's areer in Shiller (2000b).
Sto k pri es rea t to the news of the trades of insiders; see, e.g., Givoly and Palmaon
(1985). It seems lear that these trades provide information to market parti ipants,
who adjust their own trading (as a fun tion of pri e) a ordingly. Su h in uen e on the
part of insiders potentially gives them the power to manipulate pri es, as re e ted in the
analysis of Fishman and Hagerty (1995); see Fried (1998) for a dis ussion of the ` opy at
theory' that insiders exploit imitators by trading in the absen e of private information.
Investors are also in uen ed by private onversations with peers. For example, Fung
and Hsieh (1999) state that \a great deal of hedge fund investment de isions are still
based on \re ommendations from a reliable sour e.' " There is also eviden e that in-
vestors are in uen ed by impli it endorsements, as with default settings for ontributions
in 401(k) plans; see Madrian and Shea (2000).
6.2 A Challenge in Measuring Herding
An important hallenge to empiri al work on herding is to rule out lustering. Some
external fa tor ould be independently in uen ing di�erent investors' trades in parallel,
even if there were no intera tion between the trades of the di�erent investors in the
alleged herd. In general it is hard to rule out lustering on lusively, though a few
studies are able to do so in spe i� ontexts. One method of addressing this is to
in lude proxies for possible variables that may jointly a�e t the behavior of di�erent
individuals (for a general analysis of e onometri issues in measuring so ial intera tion,
see, e.g., Bro k and Durlauf (2000)). Of ourse, no matter how thorough the study, it
20Wall Street Journal, 10/14/93, \S ulley Be omes Chief of Spe trum, Pla ing Bet on Wireless Te h-nology", John J. Keller)." A later Business Week investigation suggested that the CEO of Spe trumwas \a manipulator who duped John S ulley and milked the ompany" (S hroeder (1994)).
31
is always on eivable that some joint ausal fa tor has been omitted.
Some studies go further to examine natural or arti� ial experiments whi h rule out
the possibility of an omitted in uen e. Sa erdote (2001) provides eviden e of peer e�e ts
in a study of roommate hoi es with random assignments, so avoids this. Also, a growing
literature starting with Anderson and Holt (1996) has on�rmed learning by observing
a tions, and the existen e of informational as ades in the experimental laboratory (see
also Hung and Plott (2001), Anderson (2001), Sgroi (2000) and Celen and Kariv (2001)).
Consistent with as ades, Dugatkin and Godin (1992) �nd experimentally that female
guppies tend to reverse their mate hoi es when they observe other females hoosing
di�erent males.
The simultaneous ausation issue is present in most herding tests, but be omes more
tri ky in �nan ial market tests be ause of the in uen e of pri e. It is possible for
individuals to herd in a onditional fashion, dependent upon past pri e movements.
However, even if we rule out all non-pri e joint ausal e�e ts, orrelation in trades
onditional upon pri e movements is not ne essarily herding. For example, suppose
that ertain mutual funds have orrelated trades that are asso iated with past pri e
movements. This ould indi ate herding. On the other hand, it ould be that some
other group of investors su h as individual investors is herding, and that the mutual
funds are not. The mutual funds may merely be adjusting their trades in response
to pri e movements. In the extreme, if there are only two groups of traders, then by
market learing, herding by one group of traders automati ally implies orrelation in the
trades of the other group, even though there may be no intera tion whatsoever between
members of this other group.
Alternatively, it ould be that some group of investors is jointly in uen ed by some
unobserved in uen e, and again that the mutual funds are jointly responding to pri e.
On e again, the orrelation in the trades of the mutual funds does not imply herding.
Thus, to verify that a group is truly herding, it is ru ial either to ontrol for pri e, or if
not, to verify whether the ausality of the behavioral onvergen e is really oming from
the group in question or from other traders.
6.3 Eviden e Regarding Herding in Trades
Several papers on institutional investors trading have developed alternative measures
of trading; see, e.g., Lakonishok, Shleifer, and Vishny (1992), Grinblatt, Titman, and
Wermers (1995), Wermers (1999). Bikh handani and Sharma (2001) riti ally review
32
alternative empiri al measures of herding.
GriÆths et al (1998) �nd in reased similarity of behavior in su essive trades for
se urities that are traded in an open out ry market rather than a system trading market)
on the Toronto sto k ex hange, onsistent with the possibility of imitation-trading raised
by the eviden e of Biais, Hillion, and Spatt (1995). Grinblatt and Keloharju (2000))
provide eviden e onsistent with herding by individuals and institutions.
Institutional investors onstitute a large fra tion of all investors. By market- learing
it is impossible for all investors to be buyers or sellers. Although testing for herding by
su h a large group is not unreasonable, it ertainly makes sense in addition to examine
�ner subdivisions of investors. In older studies, Friend, Blume, and Cro kett (1970)
found, during a quarter in 1968, a tenden y for mutual funds to follow the investment
de isions made in the previous quarter by su essful funds. Kraus and Stoll (1972)
found that in a sample of mutual funds and bank trusts from 1968-9 attribute the
large trade imbalan es they �nd in sto ks to han e rather than orrelated trading.
Klemkosky (1977) found that in 1963-72 that sto ks bought by investment ompanies
(mainly mutual funds) subsequently do well.
Using quarterly data on the portfolios of pension funds from 1985-89, Lakonishok,
Shleifer, and Vishny (1992) �nd relatively weak eviden e that pension funds engage
in either positive feedba k trading or herding, with a stronger e�e t in smaller sto ks.
Grinblatt, Titman, and Wermers (1995) �nd that most sto k mutual funds pur hased
past winners during 1974-84. They �nd a tenden y for funds to buy and sell sto ks
at the same time in sto ks in whi h a large number of funds are a tive. Herding was
strongest among aggressive growth, growth and in ome funds. Wermers (1999) �nds
that during 1975-94 there was little herding by mutual funds in the average sto k, but
that there was herding in small sto ks and in sto ks that experien ed high returns.
Growth-oriented mutual funds tended to herd in their trades. He also found superior
performan e among the sto ks that herds buy relative to those they sell during the six
months subsequent to trades, espe ially among small sto ks. Nofsinger and Sias (1999)
report that hanges in institutional ownership are asso iated with high ontemporaneous
sto k and returns, that institutions tend to buy after positive momentum, and that the
sto ks institutions buy outperform those that they sell. On a shorter time s ale, Kodres
and Pritsker (1997) report herding in daily trading by large futures market institutional
traders su h as broker-dealers, banks, and hedge funds, although measurement issues
reate signi� ant hallenges
Brown, Harlow, and Starks (1996) and Chevalier and Ellison (1997) �nd that fund
33
managers that are doing well lo k in their gains toward end of the year by indexing the
market, whereas funds that are doing poorly deviate from the ben hmark in order to try
to overtake it. Chevalier and Ellison (1999) indentify possible ompensation in entives
for younger managers to herd by investing in popular se tors, and �nd empiri ally that
younger managers hoose portfolios that are more ` onventional' and whi h have lower
non-systemati risk.
6.4 Creditor Runs, Bank Runs, and Finan ial Contagion
An older literature argued that bank runs are due to `mob psy hology' or `mass hysteria'
(see the referen es dis ussed in Gorton (1988)). At some point e onomists may revisit
the role of emotions in ausing bank runs or `pani s,' and more generally ausing multiple
reditors to refuse to �nan e distressed �rms. Su h an analysis will require attending to
eviden e from psy hology about how emotions a�e t judgments and behavior
At this point the main models of bank runs and of �nan ial distress are based upon
full rationality (for reviews of models and eviden e about bank runs, see, e.g., Calomiris
and Gorton (1991) and Bhatta harya and Thakor (1993) se tion 5.2) . There is a
negative payo� externality in whi h withdrawal by one depositor, or the refusal of a
reditor to renegotiate a loan, redu es the expe ted payo�s of others. This an lead
to multiple equilibria involving runs on the bank or �rm, or to bank runs triggered by
random sho ks to withdrawals (see, e.g., Diamond and Dybvig (1983)). This of ourse
does not pre lude the possibility that there is also an informational externality.
The informational hypothesis (e.g., Gorton (1985)) holds that bank runs result from
information that depositors re eive about the ondition of banks' assets. When a dis-
tressed �rm seeks to renegotiate its debt, the refusal of one reditor may make others
more skepti al. Similarly, if some bank depositors withdraw their funds from a troubled
bank, others may infer that those who withdrew had adverse information about the value
of the bank's illiquid assets, leading to a bank run (see, e.g., Chari and Jagannathan
(1988), Ja klin and Bhatta harya (1988)).
Bank runs an be modeled as informational as ades, sin e the de ision to withdraw
is bounded (the individual annot withdraw more than 100% of his deposit). There is a
payo� as well as an informational intera tion: early withdrawals hurt loyal depositors,
and more generally refusal of a reditor to renegotiate hurts other reditors. However,
at the very start of the run, when only a few reditors have withdrawn, the main e�e t
may be the informational onveyed by the withdrawals rather than the redu tion in the
34
bank's liquidity.
If assets are imperfe tly orrelated, as ades an pass ontagiously between banks and
ause mistaken runs even in banks that ould have remained sound; (on information and
ontagion, see Gorton (1988), Chen (1999), and Allen and Gale (2000b)). This suggests
that the arrival of adverse publi information an trigger runs (see, e.g., Calomiris and
Gorton (1991))
There is eviden e of geographi al ontagion between bank failures or loan-loss reserve
announ ements and the returns on other banks (see Aharony and Swary (1996) and
Do king, Hirs hey, and Jones (1997)). This suggests that bank runs are triggered by
information rather than being a purely non-informational (multiple equilibria, or e�e ts
of random withdrawal) phenomenon.21 Saunders and Wilson (1996) provide eviden e of
ontagion e�e ts in a sample of U.S. bank failures during the period 1930-32. On the
other hand Calomiris and Mason (1997) �nd that the failure of banks during the Chi ago
pani of June 1932 was due to ommon sho ks, and Calomiris and Mason (2001) �nd
that banking problems during the great depression an be explained based upon either
bank-spe i� variables or publi ly observable national and regional variables rather than
ontagion.
6.5 Exploiting Herding and Cas ades
Firms often market experien e goods by o�ering low introdu tory pri es. In as ades
theory, the low pri e indu es early adoptions, whi h helps start a positive as ade. Wel h
(1992) developed this idea to explain why initial publi o�erings of equity are on average
severely underpri ed by issuing �rms.22 Neeman and Orosel (1999) provide a model of
au tions in a winner's urse setting in whi h a seller (su h as a �rm selling assets) an
gain from approa hing potential buyers sequentially, indu ing informational as ades,
rather than ondu ting an English au tion.
21There is also eviden e of ontagion in spe ulative atta ks on national urren ies (Ei hengreen, Rose,and Wyplosz (1996)).
22An example is provided by the des ription of the Mi rosoft IPO in Fortune (1986) (p. 32): \Eri Dobkin, 43, the partner in harge of ommon sto k o�erings at Goldman Sa hs, felt queasy aboutMi rosoft's ounterproposal. For an hour he tussled with Gaudette, using every argument he ouldmuster. Coming out $1 too high would drive o� some high-quality investors. Just a few signi� antdefe tions ould lead other investors to think the o�ering was losing its luster." This illustrates the useof pri e to indu e as ades, and the result of the as ades model that individuals with high informationpre ision are parti ularly e�e tive at triggering early as ades.
35
7 Herding, Bubbles, and Crashes: The Pri e Impli-
ations of Herding and Cas ading
Popular allegations of se urities market irrationality often emphasize the ontagiousness
of emotions su h as pani or frenzy. Criti s often go on to argue that this auses ex ess
volatility, destabilizes markets, and makes �nan ial system fragile (see, e.g., the riti al
review of Bikh handani and Sharma (2001) and referen es therein). There is indeed
eviden e that emotions are ontagious and that this ontagion a�e ts per eptions and
behavior (see, e.g., Hat�eld, Ca ioppo, and Rapson (1993), Barsade (2001)). In the
lassi fully rational models of se urities market pri e formation, information is onveyed
through pri es or pri ing fun tions that are observable to all, so there is no room for
lo alization in the ontagion pro ess (Grossman and Stiglitz (1980), Kyle (1985)). Even
re ent models of herding and of informational as ades in se urities markets involve
ontagion based upon observation of either market pri es or trades, again leaving little
room for lo alization.
On the other hand, the eviden e dis ussed in Se tion 6 suggests that so ial inter-
a tions between individuals a�e ts �nan ial de isions. This suggests that the so ial or
geographi al lo alization of information may be an important part of the pro ess by
whi h trading behaviors spread. Furthermore, some so iologists and e onomists argue
that there are threshold e�e ts in so ial pro esses, where the adoption of a belief or
behavior by a riti al number of individuals leads to a tipping in favor of one behavior
versus another (Granovetter (1978), S helling (1978), Kuran (1989, 1998)).
Thus, an important dire tion for further empiri al resear h is to examine how whether
a lo alized pro ess of ontagion of beliefs and attitudes a�e ts sto k markets (see, e.g.,
Shiller (2000a)), and whether se urities market pri e patterns are onsistent with rational
models of ontagion. An important theoreti al dire tion is to examine the impli ations
for se urities market trading and pri es of onversation between individuals; see the
analysis of DeMarzo, Vayanos, and Zwiebel (2000), and the on luding dis ussion of
Cao, Coval, and Hirshleifer (2001).
If herding is driven by agen y onsiderations, one would expe t any pri e e�e ts of
herding to be driven by institutional investors. Sias and Starks (1997) provide eviden e
that institutional investors are a sour e of positive portfolio return serial orrelations
(both own-and ross orrelations of the se urities held by institutions). Aitken (1998)
�nds that the auto orrelation of the returns of emerging sto k markets in reased sharply
at the time that institutional investors were expanding their positions in emerging mar-
36
kets. He argues that this indi ates that this re e ted the e�e t of u tuating sentiment
by institutional investors.23
There is a large and growing literature on ontagion between the debt or equity
markets of di�erent nations (see, e.g., Bikh handani and Sharma (2001)). Borensztein
and Gelos (2001) report moderate herding in the trades of emerging market mutual
funds during 1996-9, but was not stronger during rises than normal times. With regard
to pri e e�e ts of herding, there are some large orrelations in returns, but it is hard
to measure whether this is an e�e t of herding, and there is only mixed eviden e as to
whether orrelations are higher during �nan ial rises. Choe, Kho, and Stulz (1999) pro-
vide strong eviden e of herding by foreign investors before the 1996-7 period of e onomi
risis for Korea, but herding was a tually lower during the risis period. Furthermore,
they do not �nd any indi ation that trades by foreign investors had a destabilizing e�e t
on Korea's sto k market. Many studies have examined how the o urren e of a risis
in one ountry a�e ts the probability of risis in another ountry; see, e.g., Berg and
Pattillo (1999) for a review of this resear h.
Experimental asset markets have been found to be apable of aggregating a great
deal of the private information of parti ipants; however, in omplex environments the
literature has shown that blo kages form so that imperfe t information aggregation is
imperfe t (see, e.g., Noeth et al (2002), Bloom�eld (1996), and the surveys of Libby,
Bloom�eld, and Nelson (2001), Sunder (1995)). Experimental laboratory resear h pro-
vides a very promising dire tion for exploring the relationship of herding to market
rashes (see, e.g., Cipriani and Guarino (2001b)). These should provide the raw mate-
rial for new theorizing on this topi .
Gompers and Lerner (2000) provide eviden e of `money hasing deals' in venture
apital. In ows into venture apital funds are asso iated with higher valuations of the
new investments made by these funds, but not with the ultimate su ess of the �rms.
Thus, it seems that orrelated enthusiasm of investors for ertain kinds of investors
moves pri es for non-fundamental reasons. However, Froot, O'Connell, and Seasholes
(2001) �nd that portfolio ows in and out of 44 ountries during 1994-98 were positive
23Christie and Huang (1995) are unable to dete t `herd behavior,' in the sense of high ross-se tionalstandard deviations of se urity returns at the time of large pri e movements. Rather than measuringherd behavior (so ial in uen e) per se, this is an indire t measure of the tenden y for some group ofinvestors to rea t in a ommon way more at the time of extreme sho ks than at other times. However, itis not obvious what the fundamental ben hmark should be for the asso iation between large sho ks andidiosyn rati variability; see also Chang, Cheng, and Khorana (2000), who report that in the U.S. andseveral asian markets, there is relatively little eviden e of herding ex ept for the two emerging marketsin the sample; and Ri hards (1999).
37
fore asters of future equity returns, with statisti al signi� an e in emerging markets.
8 Herd Behavior and Cas ades in Firms' Investment,
Finan ing, and Reporting De isions
It is often alleged in the popular press that managers are foolishly prone to fads in
management methods (for examples and formal analysis see Strang and Ma y (2001))
investment hoi es, and reporting methods.
Managers learn by observing the a tions and performan e of other managers, both
within and a ross �rms. This suggests that �rms will engage in herding and be subje t
to informational as ades, leading to management fads in a ounting, �nan ing and in-
vestment de isions. The popularity of di�erent investment valuation methods, se urities
to issue, and so on have ertainly waxed and waned. There are booms and quiet periods
in new issues of equity that are related to past sto k market returns and to the past
average initial returns from buying an IPO (see, e.g., Ibbotson, Ritter, and Sindelar
(1994), E kbo and Masulis (1995) and Lowry and S hwert (2002)). However, it is not
easy to prove that u tuations in investments and strategies result from irrationality,
rational but imperfe t aggregation of private information signals, or dire t responses to
u tuations in publi observables.
Takeover markets have been subje t to seemingly idiosyn rati booms and rashes,
su h as the wave of onglomerate mergers in the 1960's and 70's, in whi h �rms diversi-
�ed a ross di�erent industries, the subsequent refo using of �rms through restru turing
and bustup takeovers in the 1980's, followed by the merger boom of the 1990s. Pur-
hase of another �rm: targets of a takeover bid are `put into play,' and often qui kly
re eive ompeting o�ers, despite the negative ost externality of having a ompetitor.
Hauns hild (1993) provides interesting eviden e about apparent informational ontagion
of the de ision to engage in a takeover. In her 1981-90 sample, a �rm was more likely
to merge if one of its top managers was a dire tor of another �rm that had engaged in
a merger during the pre eding three years.
Several papers have attempted to measure herd behavior in investment de isions.
Jain and Gupta (1987) report only weak eviden e of herding in loans to LDC's by US
banks. D'Ar y and Oh (1997) study as ades in the de isions of insurers to underwrite
risks and the pri ing of insuran es. Foresi, Hamo, and Mei (1998) provide eviden e
onsistent with imitation in the investment de isions of Japanese �rms.
Is there a more general tenden y toward strategi imitation? Gilbert and Lieberman
38
(1987) examined the relation amongst the investments of 24 hemi al produ ts over two
de ades. They found that larger �rms in an industry tend to invest when their rivals
do not. In ontrast, smaller �rms tend to be followers in investment. This behavior is
onsistent with a `fashion leader' version of the as ades model in whi h the small free-
ride informationally on the large (where large �rms may have greater absolute bene�t
from a quiring pre ise information, or s ale ost e onomies in information a quisition).
Survey eviden e on Japanese �rms indi ates that a fa tor that en ourages �rms to engage
in dire t investment in an emerging e onomy in Asia is whether other �rms are investing
in that ountry. This is onsistent with possible as ading based upon a manager's
per eption that rival �rms possess useful private information about the desirability of
su h investment (Kinoshita and Mody (2001)). Greve (1998) provide eviden e of �rm
imitation in the hoi e of new radio formats in the U.S.
Chaudhuri, Chang, and Jayaratne (1997) examine spatial lustering of bank bran hes
in ities. They point out that banks are likely to have imperfe t information about the
potential pro�tability of opening a bran h in a parti ular neighborhood. They show
that a bank's de ision to open a new bran h in a ensus tra t of New York City during
1990-95 depended on the number of existing bran hes in that tra t. They use tra t-
level rime statisti s land-use data, and so ioe onomi data to ontrol for expe ted
tra t pro�tability. They on lude that there is a positive in remental relation between
a bank's de ision to open a new bran h and the presen e of other banks' bran hes,
onsistent with information-based imitation.
Analogous to the endorsment e�e t in indivdual investor trading are endorsement
e�e ts in real investments. Real estate investment is a prime area of appli ation for
as ades/endorsement e�e ts, be ause the investment de isions are dis rete and on-
spi uous (Caplin and Leahy (1998) analyze real estate herding/ as ading).24
E onomists have long studied agglomeration e onomies as an explanation for ge-
ographi al on entration of investment and e onomi a tivity (e.g., Marshall (1920),
Krugman and Venables (1995, 1996)). Su h e�e ts are surely important. However,
as pointed out by DeCoster and Strange (1993), geographi al on entration an o ur
without agglomeration e onomies owing to learning by observation of others: `spuri-
ous agglomeration.' Empiri ally some papers use previous investment by other �rms
24For example, onsider Bian o (1996) in Business Week entitled: \A Star is Reborn: Investors hustleto land parts in Times Square's transformation." The arti le states of Disney that \Its agreement torevamp the New Amsterdam Theater, a Beaux Arts gem, was like waving a magi wand: Wait-and-seeinvestors piled in." After long delay, the transformation of New York's Times Square was triggered byan investment by Disney, after whi h \wait-and-see investors piled in," an illustration of simultaneity.
39
in a lo ation as a proxy for agglomeration e onomies in predi ting investment by other
�rms (e.g., Head, Ries and Swenson (1995, 2000)). Barry, Gorg, and Strobl (2001)
empiri ally test between aggregation e onomies and what they all the \demonstration
e�e ts," whereby a �rm lo ates in a host ountry be ause the presen e of other �rms
there provides information about the attra tiveness of the host ountry. They on lude
that both agglomeration e onomies and agglomeration e�e ts are important.
The observation of the payo�s, not just a tions of rivals is learly important in �rms'
investment de isions. For example, after Sara Lee Corp. introdu ed the fashionable
Wonderbra to the U.S. in New York in May 1995, VF Corporation observed its popularity
and then \surged ahead with a nationwide rollout �ve months ahead of Sara Lee..."
(Weber (1995)). Referring to VF's `se ond-to-the-market' business strategy, Business
Week stated that \Letting others take the lead may be outre at Paris salons, but it's a
winning style at FV."
Reporting and dis losure pra ti es are variable over time; for example, re ently it has
been popular for �rms to dis lose pro forma earnings in ways that di�er from the GAAP-
permited de�nitions on �rms' �nan ial reports. Firms have argued that this allows them
to re e t better long-term pro�tability by adjusting for non-re urring items. However,
it is also possible that �rms are just herding, or that they are exploiting herd behavior
by investors. At this point the eviden e is not lear, though regulators have expressed
on ern about this pra ti e.
More generally, in a meta-study of a ounting hoi es, Pin us and Wasley (1994)
report that voluntary a ounting hanges by �rms do not appear to be lustered in
time and industry, suggesting no herding behavior in a ounting hanges. This result
further indi ates, surprisingly, that �rms do not swit h a ounting methods in response
to hanges in ma ro-e onomi investment onditions that are experien ed at about the
same time by similar �rms within an industry. Rather, the voluntary a ounting hanges
would appear to be made in response to �rm-spe i� needs, su h as a �rm-spe i� need
to manage earnings.
However, it is not obvious why �rms would need to manage earnings in response
to �rm-spe i� ir umstan es, yet would not want to manage earnings in response to a
ommon fa tor sho k. One spe ulative possibility is that there is a on ern for relative
performan e, as re e ted in the model of Zwiebel (1995), ombined with some deviation
from perfe t rationality that auses investors to adjust imperfe tly for a ounting method
in evaluating �rms' earnings.25 The on ern for relative performan e may reate a
25For example, Daniel, Hirshleifer, and Teoh (2002) suggest that owing to limited attention, Hirsh-
40
stronger in entive for managers to manage earnings upward when the �rm is doing
poorly relative to peers than when the entire industry is doing poorly.26
9 Con lusion
A ording to Gertrude Stein (as quoted by Charlie Chaplin), \Nature is ommonpla e.
Imitation is more interesting." We have des ribed here why imitation is interesting
for apital markets. In our dis ussion of rational observational learning, we des ribed
some emergent on lusions: idiosyn rasy (mistakes), fragility (fads), simultaneity (delay
followed by sudden joint a tion), paradoxi ality (more information of various sorts an
de rease welfare and de ision a ura y), and path dependen e. We have explored how
literature on herding, so ial learnings, and informational as ades an be applied to a
number of investment, �nan ing, reporting and pri ing ontexts.
We have also argued that these on lusions are fairly robust in rational so ial learning
models. Depending on the exa t assumptions, informationmay be ompletely suppressed
for a period (until a as ade is dislodged); under other assumptions, information is
asymptoti ally revealed, but too slowly. A setting where information arrives too slowly
to be helpful for most individuals' de isions is essentially the same from the point of
view of both welfare and predi ting behavior as one where information is ompletely
blo ked for a while. Although as ades require dis rete, bounded, or gapped a tion
spa e, or ognitive onstraints, we have argued that dis reteness and boundedness are
highly plausible in some �nan ial settings. Even when these onditions fail, owing to
noise, the growth in a ura y of the publi information pool tends to be self-limiting,
resulting in similar e�e ts.
There are many patterns of onvergent behavior and u tuations in apital markets
that do not obviously make immediate sense in terms of traditional e onomi models,
su h as �xation on poor proje ts, sto k market rashes, sharp shifts in investment and
unemployment, bank runs. Su h behavioral onvergen e often appears even in the fa e
of negative payo� externalities. Although other fa tors (su h as payo� externalities) an
lo k in ineÆ ient behaviors, the rational so ial learning theory and espe ially as ades
theory di�er in that they imply pervasive but fragile herd behavior. This o urs be-
leifer, Lim, and Teoh (2001) analyze expli itly how informed parties an adjust their dis losure de isionsto exploit the limited attention of observers.
26Consistent with this idea, Mor k, Shleifer, and Vishny (1989) provide eviden e that the likelihoodof hostile takeover for ing managerial turnover was high for �rms underperforming their industry, butwas not high when the industry as a whole was underperforming.
41
ause the a umulation of publi information slows down or blo ks the generation and
revelation of further information. This idiosyn rati feature of as ades and rational
observational learning models ause the so ial equilibrium to be pre arious with respe t
to seemingly modest new sho ks.
Rational observational learning theory suggests that in many situations, even if pay-
o�s are independent and people are rational, de isions tend to onverge qui kly but
tend to be idiosyn rati and fragile. Convergen e arises lo ally or temporally upon a
behavior, and an suddenly shift into onvergen e on the opposite behavior. The re-
quired assumptions, primarily dis reteness or boundedness of possible a tion hoi es,
are mild and likely to be present in many realisti setting. This suggests that the e�e ts
of observational learning and herding mentioned in the �rst paragraph of this se tion are
likely to a�e t behavior in and related to apital markets. This in ludes both herding
by �rms, and a tions by �rms su h as �nan ing, dis losure and reporting poli ies that
an potentially be managed to exploit investors that herd. Similarly, perhaps the spe ial
skill that some hedge fund and mutual fund managers seem to have is in exploiting the
herding behavior of imperfe tly rational investors.
Models of reputation-based herding do not typi ally share the fragility feature of
rational observational learning theory. However, reputation-based models have mu h to
o�er in their own right. This in ludes explanation of those herds that seem stable and
robust. As another example, the reputation approa h helps explain dispersion as well as
herding, and when one or the other will o ur. Reputation models also o�er a ri h set
of impli ations about the extent of herding in relation to hara teristi s of the agen y
problem and the manager.
Most instan es herding in apital markets are likely involve mixtures of reputational
e�e ts, informational e�e ts, dire t payo� intera tions, preferen e e�e ts, and imperfe t
rationality. For example, to explain predi tability in se urities markets, some imperfe t
rationality is likely to be needed. Integration of the di�erent e�e ts will lead us to better
theories about apital market behavior.
42
Referen es
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Aitken, B., 1998, Have institutional investors destabilized emerging markets?, Con-temporary E onomi Poli y 16, 173{184.
Allen, F. and D. Gale, 2000, Bubbles and rises, The E onomi Journal 110, 236{256.
Allen, F. and D. Gale, 2000, Finan ial ontagion, Journal of Politi al E onomy 108,1{33.
Anderson, L. R., 2001, Payo� e�e ts in information as ade experiments, E onomi Inquiry 39, 609{615.
Anderson, L. R. and C. A. Holt, 1996, Information as ades in the laboratory, Amer-i an E onomi Review 87, 847{862.
Arthur, B., 1989, Competing te hnologies, in reasing returns, and lo k-in by histori alevents, The E onomi Journal 99, 116{131.
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56
dd
I. A. Herding/ Dispersing
III.
Reputational
Herding and
Dispersion
D. Informational Cascades
C. Rational Observational Learning
B. Observational Influence
II. Payoff and
Network Externalities
Figure 1: Topic Diagram