Download - The economics of arms trade and arms control
![Page 1: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/1.jpg)
THE ECONOMICS OF ARMS TRADE AND ARMS CONTROL
Dr Maria Garcia-AlonsoUniversity of Kent
Summer School, 2009
![Page 2: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/2.jpg)
Some economists in the area
On arms trade:
Paul Dunne (UWE) Keith Hartley (University of York) Paul Levine (University of Surrey). Ron Smith (Birckbeck College)
On terrorism: Todd Sandler (University of Texas) and co-
authors.
![Page 3: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/3.jpg)
My objectives for the day Get you interested in the economics of arms
trade and conflict.
Give you the sources of information in case you want to know more.
Provide an example of how economic theory can be used to model and understand complex problems in simple way even when the topics at hand a bound to involve judgements of value we might not even be aware of!
![Page 4: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/4.jpg)
Outline 1. The arms trade facts: a bit of history.
The Cold War The Post Cold War Era
2. Regulation of arms trade in the UK.
3. Arms trade data.
4. A model of the arms trade.
5. What can we learn from the arms trade literature?
6. The New Post September 11th challenges and asymmetric conflict.
![Page 5: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/5.jpg)
1. A BIT OF ARMS TRADE HISTORY: THE COLD WAR
SECURITY PERCEPTION: Arms race between main producer countries.
FIRMS OWNED BY STATE EXPORTS TO ALLIES ONLY
US USSR
EXPO
RTS
EXPO
RTS
US ALLIES
USSR ALIES
![Page 6: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/6.jpg)
THE POST COLD WAR ERA CHANGES IN SECURITY PERCEPTION:
Security (Domestic Procurement, Global Exports).
CHANGES IN INDUSTRY STRUCTURE:
Consolidation through 90s merger wave: 5 largest firms now account for 44% of market.
More openness: joint venture, semi-open tenders.
More independence: no longer government controlled.
![Page 7: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/7.jpg)
POST COLD WAR (cont)
BUT: Maintaining domestic defence industry still seen
as strategic: national champions. Heavily regulated and supported. Not so open (exemption to the General
Procurement Agreement). Not as concentrated as other industries of
similar characteristics.
GOVERNMENTS FACE CONFLICTING INTERESTS: security versus profits trade off when
maximizing national welfare.
![Page 8: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/8.jpg)
EVOLUTION OF ASYMETRIC INFORMATION : Nationally between governments and their
national champions: Efficiency levels? Exported quality? Target clients? What use?
Internationally between governments and firms: Quality? Security concerns? Target clients? What use?
POST COLD WAR (cont)
![Page 9: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/9.jpg)
POST COLD WAR ARMS TRADE STRUCTURE
US RUSSIA
EXPO
RTS
EXPO
RTS
REST OF THE WORLD
![Page 10: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/10.jpg)
2. REGULATION OF AT IN UK EXPORTS CREDIT GUARANTEES DEPARTMENT
http://www.ecgd.gov.uk/
UKTI DEFENCE & SECURITY ORGANISATION (UKTI DSO) formerly Defence Export Services Organisation. belongs to UK Trade & Investment (UKTI): http://www.dso.uktradeinvest.gov.uk/: works closely with industry and the MoD
to promote UK equipments, products and services in the best possible way.
EXPORT CONTROL ORGANIZATION belongs to BIS=BERR + DIUS http://www.berr.gov.uk/whatwedo/europeandtrade/strategic-export-control/
index.html
Relevant policy papers: Defence Industrial Strategy, Defence White Paper, 2005. Defence Industrial Policy, MOD policy papers , paper no 5. Export Credits Guarantee Department: Annual Review and Resource Accounts.
![Page 11: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/11.jpg)
EXPORT CONTROL REGIMES Aimed at coordinating policies of supplier and
recipient states
Acknowledge a need for coordination and harmonization of national controls. Missile Technology Control Regime (MTCR). Nuclear Suppliers Group (NSG) Australia Group (chemical and biological weapons) Wassenaar Arrangement on Export Controls for
Conventional Arms and Dual-Use Goods and Technologies (includes most cold war adversaries).
EU’s Common Rules Governing Control of Exports of Military Technology and Equipment.
![Page 12: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/12.jpg)
3. ARMS TRADE DATA
Transparency in arms transfers: as of January 2008, 31 states had published at least 1 report on arms exports as opposed to 6 in1998.
Best data source is the Stockholm International Peace Research Institute (SIPRI) Arms Transfers Database (http://www.sipri.org/).
The volume of international arms transfers peaked in 1982. Following the end of the cold war there was a steady decline in global arms transfers; they reached their lowest point in 2002, when transfers amounted to only 38 percent of their cold war high. Since 2002 there has been a more steady increase in transfers.
![Page 13: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/13.jpg)
RECENT EVOLUTION OF ARMS TRANSFERS (SIPRI Yearbook)
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
0
5
10
15
20
25
30
SIPRI TIV
Figure 1. The trend in transfers of major conventional weapons, 1999–2008
The bar graph shows annual totals and the line graph shows the five-year moving average, they give an idea of volume of transfer of major weapon systems. Source: SIPRI Arms Transfers Database, <http://armstrade.sipri.org>.
![Page 14: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/14.jpg)
Top 5 suppliers of major conventional weapons and their largest recipients, 1999-2003
supplier % share of global arms exports
Total number of recipients
FIRST SECOND THIRD
US 35 77 TAIWAN 9%
EGYPT 8%
JAPAN 8%
RUSSIA 26 47 CHINA 44%
INDIA 23%
IRAN 4%
GERMANY 7 56 TURKEY14%
AUSTRALIA 11%
SOUTH KOREA 7%
FRANCE 7 55 UAE 21%
PAKISTAN12%
TURKEY11%
UK 6 44 CANADA18%
US12%
TURKEY10%
![Page 15: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/15.jpg)
Top 5 suppliers of major conventional weapons and their largest recipients, 2004–2008
supplier % share of global arms exports
Total number of recipients
FIRST SECOND THIRD
US 31 69 SOUTH KOREA15%
ISRAEL13%
UAE11%
RUSSIA 25 46 CHINA 42%
INDIA 21%
ALGERIA8%
GERMANY 10 47 TURKEY15%
GREECE 13%
SOUTH AFRICA12%
FRANCE 8 39 UAE 32%
SINGAPOURE13%
GREECE12%
UK 4 37 US21%
INDIA14%
CHILE9%
![Page 16: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/16.jpg)
Top 5 recipients of major conventional weapons and their largest suppliers, 1999–2003
recipient % share of global arms imports
Total number of suppliers
FIRST SECOND THIRD
CHINA 12 9 RUSSIA92%
FRANCE3%
UKRAINE2%
INDIA 8 14 RUSSIA 78%
UZBEKISTAN5%
GERMANY3%
GREECE 5 13 US52%
RUSSIA17%
NETHERLANDS10%
TURKEY 5 10 US 54%
FRANCE15%
UK11%
SOUTH KOREA
4 10 US67%
GERMANY11%
FRANCE11%
![Page 17: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/17.jpg)
Top 5 recipients of major conventional weapons and their largest suppliers, 2003–2008
recipient % share of global arms imports
Total number of suppliers
FIRST SECOND THIRD
CHINA 11 6 RUSSIA92%
FRANCE3%
UKRAINE 2%
INDIA 7 11 RUSSIA 71%
UK9%
ISRAEL6%
UAE 6 13 US54%
FRANCE43%
GERMANY1%
SOUTH KOREA
6 8 US 73%
GERMANY12%
FRANCE9%
GREECE 4 13 GERMANY31%
US24%
FRANCE24%
![Page 18: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/18.jpg)
4. A MODEL OF THE ARMS TRADE Our objective now is to construct an economic
model of the arms trade. First thing to do is to choose sensible modelling
assumptions to provide a good fit for the stylized facts we have already seen:1. Agents?: Governments, firms...2. Objectives? Welfare maximization
(definition?), profit maximization (market structure?)...this will determine possible strategic interactions.
3. Choice variables?: Procurement levels, exports, quality, controls...
4. Timing? This will depend on commitment power, unless it is all clear go for simultaneous decision making. Equilibrium concept?
5. Uncertainty?
![Page 19: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/19.jpg)
Security perceptions and games
Basic equilibrium concepts
Nash Equilibrium: a set of strategies such that each strategy is the best response (payoff maximizing) to the other player’s strategy (suitable for simultaneous choice decisions/games). We solve finding the intersection points of best response functions.
Subgame Perfect Equilibrium - a set of strategies that satisfies both the Nash and credibility conditions (suitable for sequential decisions). We solve using backwards induction.
![Page 20: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/20.jpg)
Security perceptions and games
a. An arms race/ arms control game
Procure more weapons
Do not procure more weapons
Procure more weapons 2,2 4,1
Do not procure more weapons 1,4
3,3
Coun
try
1
Country 2
![Page 21: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/21.jpg)
Security perceptions and games
a. An arms race/ arms control game
Procure more weapons
Do not procure more weapons
Procure more weapons 2,2
Nash Equilibrium(NE)
4,1
Do not procure more weapons 1,4
3,3Pareto Optimum (PO)
Coun
try
1
Country 2
![Page 22: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/22.jpg)
A continuous choice arms race: best response function and NE
Country 1’s arms
Coun
try
2’ar
ms
NE
Country 1’s best response function
![Page 23: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/23.jpg)
Security perceptions and games
b. Nuclear technology transfer game (both countries care equally about
security)Transfer nuclear technology
Do not transfer
Transfer nuclear technology
1,1 2,0
Do not transfer 0,2
3,3
Coun
try
1
Country 2
![Page 24: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/24.jpg)
Security perceptions and games
b. Nuclear technology transfer game (both countries care equally about
security)Transfer nuclear technology
Do not transfer
Transfer nuclear technology
1,1NE
2,0
Do not transfer 0,2
3,3 NE and PO
Coun
try
1
Country 2
![Page 25: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/25.jpg)
Security perceptions and games
c. Nuclear technology transfer game (only one country cares about security)
Transfer nuclear technology
Do not transfer
Transfer nuclear technology
1,1 2,0
Do not transfer 0,2
3,0
Coun
try
1
Country 2 (does not care)
![Page 26: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/26.jpg)
Security perceptions and games
c. Nuclear technology transfer game (only one country cares about security)
Transfer nuclear technology
Do not transfer
Transfer nuclear technology
1,1NE
2,0
Do not transfer 0,2
3,0
Coun
try
1
Country 2 (does not care)
![Page 27: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/27.jpg)
Timing of events and SPNE Only one exporter
1. Government chooses exports subsidy to maximize welfare: Welfare (exports, subsidy).
2. Exporter chooses exports to maximize profits: Profit (exports, subsidy)
SPE by backwards induction:(2) ∂ Profit/ ∂ domestic exports=0(1) (∂W/ ∂ s)+ (∂W/ ∂exports) (∂exports/ ∂s)= 0
![Page 28: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/28.jpg)
With two exporters and Cournot competition(best response functions and NE in second stage)
Exports domestic firm
Expo
rts
fore
ign
firm
Domestic firm’s best response function
NE in second stage
![Page 29: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/29.jpg)
An example of a formal model of AT
Public procurement with two way international trade.
Governments impact on market structure.
Firms are prices setters in the exports market.
Non producer countries involved in regional conflict.
Model’s Objectives:
Impact of post-cold war changes on market structure.
![Page 30: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/30.jpg)
Timing of decisions:
1. MoD in producer countries take domestic procurement decisions: quality, quantity, price and number of domestic varieties/firms, given the export control structure and their budget.
2. All firms set international prices in a monopolistic competition fashion.
3. Importer countries make imported procurement decisions. Non producers also make nonmilitary consumption decisions.
The model is solved for the Subgame Perfect Equilibrium and calibrated using sensible data.
![Page 31: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/31.jpg)
Producers: Security, budget constraint and profits.
1 1
.n N
j j j jj j n
G p d Pm
1
1 1
1 1 1 .n N
j j j jj j n
S wn w N n w q d w w u m
.j j j jC F aq c d x
.j j j j j jp d P x C
![Page 32: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/32.jpg)
Non producers involved in a regional arms race Military Capability:
Ratio form Contest Success Function:
Difference form CSF:
1
1
; , .N
i j jj
S N u m i a b
.m
a aa m m
a a b b
Sp
S S
1 .
1 expab b a a
pk S S
![Page 33: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/33.jpg)
![Page 34: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/34.jpg)
![Page 35: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/35.jpg)
5. WHAT CAN WE LEARN FROM THE LITERATURE?
On the need for international coordination:
During the cold war arms race between main producers: an arms race is a Prisoner’s Dilemma Game, i.e., in the Nash Equilibrium countries end up stocking too many weapons, an agreement to reduce stockpiles would be a Pareto Improvement, however, both countries have incentives to unilaterally deviate from such agreement.
Modelling tools: Game theory, both static and dynamic models. Collective action problems: for allies weapons
are seen as a public good.
![Page 36: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/36.jpg)
After cold war, even though there is not direct arms race between main exporters, there is still a “double” Prisoner’s Dilemma game.
Still, a trading country only considers the impact of exports on their own welfare (which now includes both security and export profits) and fails to consider the impact on the other countries’ welfare: negative externality.
Modelling tools: New Trade theory: partial equilibrium models of
oligopolistic international trade. Procurement theory: to model the relationship
between governments and national champions. Subsidies: not just direct export subsidies, R&D
subsidies and domestic procurement can act as indirect export subsidies.
On the need for international coordination (cont):
![Page 37: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/37.jpg)
Arms exporters (and importers) would benefit from adhering to the Word Trade Organization agreement on export subsidies which prohibits the use of such policies.
Although WTOs motivation is rooted on the positive impact subsidy savings for governments, in the arms trade case, a free trade agreement would also be beneficial for security: Higher export prices would lead to lower exports, and hence
higher security and welfare for both exporters and importers (as regional arms races fuel imports).
A cartel of weapon suppliers or increase in concentration would have the same effect but, there is a danger in encouraging some countries to try to start home production.
Once quality is made endogenous in these models, there is a danger with cartels and mergers that more quality would be produced then, direct qualitative export controls become crucial, WTO is not enough!
On the need for international coordination (cont):
![Page 38: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/38.jpg)
On implementing export controls:
As Maggi (1999) notes multilateral institutions have an important role to play in: helping coordination; verifying violations of the agreement and inform third parties to facilitate enforcement; and promoting multilateral rule-making procedure in place of a web of bilateral negotiations.
Easier with less players Certainty Transparency helps Credible punishments are crucial Export subsidies increase the likelihood of defection
from Export Control Agreements as a given deviation results in higher increases in profits.
![Page 39: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/39.jpg)
On asymmetric information: Between governments: it makes it more difficult to
implement multilateral export control agreements.
Between domestic government and it national champion over efficiency: will cause a decrease in exports as it will be more difficult to provide incentives for firms to behave efficiently, hence higher prices leading to lower level of exports.
By importers of the quality of imported weapons or future replacement needs, it will reduce imports demand.
![Page 40: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/40.jpg)
Uncertain enemy Export controls on dual use technologies become ever
more relevant. Other “players” perceptions of security often unknown.
Asymmetric Payoffs for similar outcomes.
Asymmetric warfare.
Literature results: traditional warfare escalation may be counter productive. An increase in defence mechanisms against specific
technology may just trigger a technological change by the opponent
An increase in defence by a specific potential target may just encourage substitution for another softer target.
6. THE NEW POST SEPTEMBER 11TH CHALLENGES AND ASYMMETRIC CONFLICT
![Page 41: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/41.jpg)
A game of alternative terrorist targets and preemption
targets
terrorists
Protection
investment
terrorists
fate
Target
1
fail
fate succeed
Target 2
fail
succeed
fate
Target
1
fail
fate succeed
Target 2
fail
succeed
![Page 42: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/42.jpg)
A model of asymmetric conflict
•"technology of conflict" is usually seen as a unidimensional variable. •A higher amount of effort, translated into more or more advanced weapons, is the only is the only technological decision conflicting parties take.•Reality though does not always seem so simple. •Technological decisions seem to be multidimensional. •This results in a potential asymmetry of technologies actually being acquired. •Most likely to arise when conflicting powers are themselves asymmetrical in nature.
![Page 43: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/43.jpg)
Sources of asymmetry
Inertia vs “dynamism”: Having invested so much in a certain conflict technology and the industry to produce it and export, incumbent countries might find it difficult to change it.
Resource availability vs resource constraint: Contestant powers' constrained resources and small share of existing wealth may actually encourage them to find new ways of fighting
One defined adversary vs the “average” adversary.
Perceived relative cost of war.
![Page 44: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/44.jpg)
Contest success functionsFirst argument in parenthesis always refers to the strategy of the incumbent and the second refers to the contestant's strategy: ( , )= probability that incumbent has of winning if they attack andaP A D contestant defends.
( , )
( , )
( , )
( , ) 1- represents the entrenching advantage.
t is the technology locatio
aa
b a
aa
b a
aa
b a
a a b
t eP A Dt e e
eP D A
t e ee
P A Ae e
P D D status quo incumbent share s s
n of the contestant. and represent the incumbent and contestant's effort respectively. a be e
![Page 45: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/45.jpg)
Conflict game structure
Stage 1: Incumbent chooses effort. Contestant's effort is considered exogenous.
Stage 2: The contestant chooses the type of technology to be acquired; the technology used by incumbent is exogenous through out the model.
Stage 3: Incumbent and contestant simultaneously decide whether to adopt an attack or defense strategy.
We find the Subgame Perfect Equilibrium of the above described game using backwards induction
![Page 46: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/46.jpg)
Third stage: Parties simultaneously choose whether to attack or defend
payoff matrix
a/b ATTACK DEFEND
ATTACK
DEFEND
( , ) ,
( , ) ,a a
b b
P A A A A V
P A A A A V
( , ) ,
( , ) ,a a
b b
P A D A D V
P A D A D V
( , ) ,
( , ) ,a a
b b
P D A D A V
P D A D A V
a
b
s Vs V
(1- )=perceived cost of conflict type (A,A), etc...
![Page 47: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/47.jpg)
Assumptions
Assumption 1 the incumbent enjoys the status quo and so prefers peace to attacking unthreatening challengers, this excludes unprovoked attack as a possible equilibrium (A, D).
Assumption 2 defence reduces the destruction of an attack, so for the incumbent more of the prize is left under (D, A) than (A, A)
Assumption 3 similarly for the challengers Assumption 4 the challengers may have an
incentive to attack because the proportion of the prize left after they attack is greater than their status quo share
![Page 48: The economics of arms trade and arms control](https://reader036.vdocuments.us/reader036/viewer/2022062310/56815d34550346895dcb33bc/html5/thumbnails/48.jpg)
Results
There are two candidates for unique Pure Strategy Nash Equilibrium in the conflict game (D,D) and (D,A).
A decision by the incumbent to induce (D,D), that is, to prevent conflict, will become less feasible and less likely to be adopted by the incumbent, even if feasible, if differentiation by the contestant is a possibility.
Asymmetric conflict may make traditional warfare prep useless in preventing conflict.