1 chapter 10 the partial equilibrium competitive model: -market demand -market supply copyright...
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Chapter 10
THE PARTIAL EQUILIBRIUM COMPETITIVE MODEL:
-Market demand
-Market supply
Copyright ©2005 by South-Western, a division of Thomson Learning. All rights reserved.
2
Market Demand
We start by studying the demand of the market
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Market Demand
• Assume that there are only two goods (x and y)
– An individual’s demand for x is
Quantity of x demanded = x(px,py,I)
– If we use i to reflect each individual in the market, then the market demand curve is
n
iiyxi ppxX
1
),,( for demand Market I
4
Market Demand
• To construct the market demand curve, PX is allowed to vary while Py and the income of each individual are held constant
• If each individual’s demand for x is downward sloping, the market demand curve will also be downward sloping
5
Market Demand
x xx
pxpxpx
x1* x2*
px*
To derive the market demand curve, we sum thequantities demanded at every price
x1
Individual 1’sdemand curve
x2
Individual 2’sdemand curve
Market demandcurve
X*
X
x1* + x2* = X*
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Shifts in the MarketDemand Curve
• The market demand summarizes the ceteris paribus relationship between X and px
– changes in px result in movements along the curve
(change in quantity demanded)
– changes in other determinants of the demand for X
cause the demand curve to shift to a new position
(change in demand)
– See example 10.1 in the book to see how to do it
mathematically
7
Elasticity of Market Demand• The price elasticity of market demand is
measured by
X
P
P
PPXe X
X
yXPX X
),,(,
I
• Market demand is characterized by whether demand is elastic (eX,Px <-1) or inelastic (0> eX,Px > -1)
8
Elasticity of Market Demand
• The cross-price elasticity of market demand is measured by
X
P
P
PPXe y
y
yXPX y
),,(,
I
• The income elasticity of market demand is measured by
X
I
I
PPXe yX
IX
),,(,
I
9
• We will study supply of the market and the market equilibrium
• The way the equilibrium is determined depends on whether we are studying short run, or long run
• From the time being, we will focus our attention on studying the equilibrium in perfectly competitive industries
10
Perfect Competition• A perfectly competitive industry is one that
obeys the following assumptions:– each firm attempts to maximize profits– there are a large number of firms, each producing
the same homogeneous product– each firm is a price taker
• its actions have no effect on the market price
– information is perfect• Product characteristics, technology, prices are common
knowledge
– transactions are costless• Buyers and sellers incur no costs in making exchanges
11
Timing of the Supply Response• In the analysis of competitive pricing, the time period
under consideration is important• The time period will be important to determine the supply
curve– very short run (not very interesting, we will not study it…)
– short run• existing firms can alter their quantity supplied by
altering the quantity of the variable input (labour), but quantity of fixed inputs cannot be changed, hence no new firms can enter the industry
– long run• new firms may enter an industry
12
Market Supply in the short run• The quantity of output supplied to the
entire market in the short run is the sum of the quantities supplied by each firm– the amount supplied by each firm depends
on price
• The short-run market supply curve will be upward-sloping because each firm’s short-run supply curve has a positive slope
13
Determination of the eq. Price in the short run
• The number of firms in an industry is fixed
• These firms are able to adjust the quantity they are producing– they can do this by altering the levels of the
variable inputs they employ
14
Short-Run Market Supply Function
• The short-run market supply function shows total quantity supplied by each firm to a market
n
ixixs wvPqwvPX
1
),,(),,(
• Firms are assumed to face the same market price and the same prices for inputs
15
Short-Run Market Supply Curve
quantity Quantityquantity
PPP
q1A q1
B
P1
To derive the market supply curve, we sum thequantities supplied at every price
sA
Firm A’ssupply curve sB
Firm B’ssupply curve
Market supplycurve
Q1
S
q1A + q1
B = Q1
16
Short-Run Supply Elasticity
• The short-run supply elasticity describes the responsiveness of quantity supplied to changes in market price
S
SPS Q
P
P
Q
P
Qe
in change %
supplied in change %,
• Because price and quantity supplied are positively related, eS,P > 0
• See example 10.2 in the book
17
Equilibrium Price Determination in the SR
• We have studied the market demand
• We have studied the short run supply curve
• So, we can study the short run market equilibrium
18
Equilibrium Price Determination in the SR
• An equilibrium price is one at which quantity demanded is equal to quantity supplied
• In an equilibrium price: – suppliers are supplying the optimal quantity given
the price and constraints, and demanders are demanding their optimal quantity…
– neither suppliers nor demanders have an incentive to alter their economic decisions
• An equilibrium price (P*) solves the equation:
),*,(),*,( wvPXPPX xSyxD I
19
Equilibrium Price Determination
• The equilibrium price depends on many exogenous factors:– Demand curves depend on other goods prices, income,
preferences (utility function)– Supply curves depend on inputs prices– changes in any of these factors will likely result in a new
equilibrium price
• Economists predict the new situation by computing the new equilibrium. The equilibrium is an economist’s prediction of the new situation after a change has taken place
20
Equilibrium Price Determination
Quantity
Price
S
D
Q1
P1
The interaction betweenmarket demand and marketsupply determines theequilibrium price
21
Market Reaction to aShift in Demand
Quantity
Price
S
D
Q1
P1
Q2
P2 Equilibrium price andequilibrium quantity willboth rise
If many buyers experiencean increase in their demands,the market demand curvewill shift to the right
D’
22
Market Reaction to aShift in Demand
Quantity
PriceSMC
q1
P1
This is the short-runsupply response to anincrease in market price
q2
P2
If the market price rises, firms will increase their level of output
SAC
23
Shifts in Supply and Demand Curves
• Demand curves shift because– incomes change– prices of substitutes or complements change– preferences change
• Supply curves shift because– input prices change– technology changes– number of producers change
24
Shifts in Supply and Demand Curves
• When either a supply curve or a demand curve shift, equilibrium price and quantity will change
• The relative magnitudes of these changes depends on the shapes of the supply and demand curves (elasticity is very important !!!!)
• See example 10.3 in the book
25
Shifts in Supply
Quantity Quantity
PricePriceS
S’S
S’
DD
PP
Q
P’
Q’
P’
QQ’
Elastic Demand Inelastic Demand
Small increase in price,large drop in quantity
Large increase in price,small drop in quantity
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Shifts in Demand
Quantity Quantity
PricePrice
S
S
D D
P P
Q
P’
Q’
P’
Q Q’
Elastic Supply Inelastic Supply
Small increase in price,large rise in quantity
Large increase in price,small rise in quantity
D’ D’
27
Putting it together…
• Using econometrics, we can estimate the demand and supply curve, and how they depend on other factors (input prices, other goods’ prices…)
• Compute the new equilibrium when these other factors change
• This would be our prediction…• However, it could be enough to estimate the
different elasticities rather than the whole new curves
28
Mathematical Model of Supply and Demand
• Suppose that the demand function is represented by
QD = D(P,)
is a parameter that shifts the demand curveD/ = D can have any sign
D/P = DP < 0
29
Mathematical Model of Supply and Demand
• The supply relationship can be shown as
QS = S(P,)
is a parameter that shifts the supply curve
S/ = S can have any sign
S/P = SP > 0
• Equilibrium requires that QD = QS
30
Mathematical Model of Supply and Demand
• To analyze the comparative statics of this model, we need to use the total differentials of the supply and demand functions:
dQD = DPdP + Dd
dQS = SPdP + Sd
• Maintenance of equilibrium requires thatdQD = dQS
31
Mathematical Model of Supply and Demand
• Suppose that the demand parameter () changed while remains constant
• The equilibrium condition requires thatDPdP + Dd = SPdP
PP DS
DP
• Because SP - DP > 0, P/ will have the same sign as D
32
Mathematical Model of Supply and Demand
• We can convert our analysis to elasticities
PDS
D
P
Pe
PPP
,
PQPS
Q
PP
P ee
e
QP
DS
QD
e,,
,,
)(
Dividing numerator and denominator by Q…
33
Long-Run Analysis• So far, we have studied short run…• In the long run, a firm may adapt all of its
inputs to fit market conditions– profit-maximization for a price-taking firm
implies that price is equal to long-run MC
• Firms can also enter and exit an industry in the long run– perfect competition assumes that there are
no special costs of entering or exiting an industry
34
Long-Run Analysis• New firms will be lured into any market
for which economic profits are greater than zero– entry of firms will cause the short-run
industry supply curve to shift outward– market price and profits will fall– the process will continue until economic
profits are zero
35
Long-Run Analysis
• Existing firms will leave any industry for which economic profits are negative– exit of firms will cause the short-run industry
supply curve to shift inward– market price will rise and losses will fall– the process will continue until economic
profits are zero
36
Long-Run Competitive Equilibrium
• A perfectly competitive industry is in long-run equilibrium if there are no incentives for profit-maximizing firms to enter or to leave the industry– That is, if profits are are zero in the long-
run equilibrium– this will occur when the number of firms is
such that P = MC = AC and each firm operates at minimum AC
37
Long-Run Competitive Equilibrium
• We will assume that all firms in an industry have identical cost curves– no firm controls any special resources or
technology
• The equilibrium long-run position requires that each firm earn zero economic profit
38
Long-Run Equilibrium: Constant-Cost Case
• Assume that the entry of new firms in an industry has no effect on the cost of inputs– no matter how many firms enter or leave
an industry, a firm’s cost curves will remain unchanged
• This is referred to as a constant-cost industry (Example 10.5)
39
Long-Run Equilibrium: Constant-Cost Case
A Typical Firm Total MarketQuantity Quantity
SMC MC
AC
S
D
q1
P1
Q1
This is a long-run equilibrium for this industry
P = MC = ACPrice Price
40
Long-Run Equilibrium: Constant-Cost Case
A Typical Firm Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
P2
Market price rises to P2
Q2
Suppose that market demand rises to D’
D’
Price Price
41
Long-Run Equilibrium: Constant-Cost Case
A Typical Firm Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
D’
P2
Economic profit > 0
Q2
In the short run, each firm increases output to q2
q2
Price Price
42
Long-Run Equilibrium: Constant-Cost Case
A Typical Firm Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
D’
Economic profit will return to 0
Q3
In the long run, new firms will enter the industry
S’
PricePrice
43
Long-Run Equilibrium: Constant-Cost Case
A Typical Firm Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
D’
Q3
S’
The long-run supply curve will be a horizontal line (infinitely elastic) at p1
LS
Price Price
44
Shape of the Long-Run Supply Curve
• The zero-profit condition is the factor that determines the shape of the long-run cost curve– if average costs are constant as firms enter,
long-run supply will be horizontal– if average costs rise as firms enter, long-run
supply will have an upward slope– if average costs fall as firms enter, long-run
supply will be negatively sloped
45
Long-Run Equilibrium: Increasing-Cost Industry
• The entry of new firms may cause the average costs of all firms to rise– prices of scarce inputs may rise– new firms may impose “external” costs on
existing firms– new firms may increase the demand for
tax-financed services
46
Long-Run Equilibrium: Increasing-Cost Industry
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
Suppose that we are in long-run equilibrium in this industry
P = MC = ACPricePrice
47
Long-Run Equilibrium: Increasing-Cost Industry
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
Suppose that market demand rises to D’
D’
P2
Market price rises to P2 and firms increase output to q2
Q2q2
Price Price
48
Long-Run Equilibrium: Increasing-Cost Industry
A Typical Firm (after entry) Total MarketQuantity Quantity
SMC’ MC’
AC’
S
D
P1
Q1
D’
q3
P3
Entry of firms causes costs for each firm to rise
Q3
Positive profits attract new firms and supply shifts out
S’
Price Price
49
Long-Run Equilibrium: Increasing-Cost Industry
A Typical Firm (after entry) Total Market
q3 Quantity Quantity
SMC’ MC’
AC’
S
D
p1
Q1
D’
p3
Q3
S’
The long-run supply curve will be upward-sloping
LS
Price Price
50
Long-Run Equilibrium: Decreasing-Cost Industry
• The entry of new firms may cause the average costs of all firms to fall– new firms may attract a larger pool of
trained labor– entry of new firms may provide a “critical
mass” of industrialization• permits the development of more efficient
transportation and communications networks
51
Long-Run Equilibrium: Decreasing-Cost Case
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
Suppose that we are in long-run equilibrium in this industry
P = MC = ACPrice Price
52
Long-Run Equilibrium: Decreasing-Cost Industry
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC MC
AC
S
D
P1
Q1
Suppose that market demand rises to D’
D’
P2
Market price rises to P2 and firms increase output to q2
Q2q2
Price Price
53
Long-Run Equilibrium: Decreasing-Cost Industry
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC’MC’
AC’
S
D
P1
Q1
D’P3
Entry of firms causes costs for each firm to fall
Q3q3
Positive profits attract new firms and supply shifts out
S’
PricePrice
54
Long-Run Equilibrium: Decreasing-Cost Industry
A Typical Firm (before entry) Total Market
q1 Quantity Quantity
SMC’MC’
AC’
S
D
P1
Q1
The long-run industry supply curve will be downward-sloping
D’P3
Q3q3
S’
LS
Price Price
55
Classification of Long-Run Supply Curves
• Constant Cost– entry does not affect input costs– the long-run supply curve is horizontal at
the long-run equilibrium price
• Increasing Cost– entry increases inputs costs– the long-run supply curve is positively
sloped
56
Classification of Long-Run Supply Curves
• Decreasing Cost– entry reduces input costs– the long-run supply curve is negatively
sloped
57
Long-Run Elasticity of Supply
• The long-run elasticity of supply (eLS,P) records the proportionate change in long-run industry output to a proportionate change in price
LS
LSPLS Q
P
P
Q
P
Qe
in change %
in change %,
• eLS,P can be positive or negative
– the sign depends on whether the industry exhibits increasing or decreasing costs
58
Comparative Statics Analysis of Long-Run Equilibrium
• Comparative statics analysis of long-run equilibria can be conducted using estimates of long-run elasticities of supply and demand
• Remember that, in the long run, the number of firms in the industry will vary from one long-run equilibrium to another
59
Comparative Statics Analysis of Long-Run Equilibrium
• Assume that we are examining a constant-cost industry
• Suppose that the initial long-run equilibrium industry output is Q0 and the typical firm’s output is q* (where AC is minimized)
• The equilibrium number of firms in the industry (n0) is Q0/q*
60
Comparative Statics Analysis of Long-Run Equilibrium
• A shift in demand that changes the equilibrium industry output to Q1 will change the equilibrium number of firms to
n1 = Q1/q*
• The change in the number of firms is
*q
QQnn 01
01
– completely determined by the extent of the demand shift and the optimal output level for the typical firm
61
Comparative Statics Analysis of Long-Run Equilibrium
• The effect of a change in input prices can also be studied– See example 10.6 in the book
62
Important Points to Note:• In the short run, equilibrium prices are
established by the intersection of what demanders are willing to pay (as reflected by the demand curve) and what firms are willing to produce (as reflected by the short-run supply curve)– these prices are treated as fixed in both
demanders’ and suppliers’ decision-making processes
63
Important Points to Note:• A shift in either demand or supply will
cause the equilibrium price to change– the extent of such a change will depend on
the slopes of the various curves
• Firms may earn positive profits in the short run– because fixed costs must always be paid,
firms will choose a positive output as long as revenues exceed variable costs
64
Important Points to Note:• In the long run, the number of firms is
variable in response to profit opportunities– the assumption of free entry and exit implies
that firms in a competitive industry will earn zero economic profits in the long run (P = AC)
– because firms also seek maximum profits, the equality P = AC = MC implies that firms will operate at the low points of their long-run average cost curves
65
Important Points to Note:• The shape of the long-run supply curve
depends on how entry and exit affect firms’ input costs– in the constant-cost case, input prices do not
change and the long-run supply curve is horizontal
– if entry raises input costs, the long-run supply curve will have a positive slope
66
Important Points to Note:
• Changes in long-run market equilibrium will also change the number of firms– precise predictions about the extent of these
changes is made difficult by the possibility that the minimum average cost level of output may be affected by changes in input costs or by technical progress
67
Important Points to Note:
• If changes in the long-run equilibrium in a market change the prices of inputs to that market, the welfare of the suppliers of these inputs will be affected– such changes can be measured by changes
in the value of long-run producer surplus
68
Chapter 11
APPLIED COMPETITIVE ANALYSIS
Copyright ©2005 by South-Western, a division of Thomson Learning. All rights reserved.
69
Economic Efficiency and Welfare Analysis
• The area between the demand and the supply curve represents the sum of consumer and producer surplus– measures the total additional value
obtained by market participants by being able to make market transactions
• This area is maximized at the competitive market equilibrium
70
Economic Efficiency and Welfare Analysis
Quantity
Price
P *
Q *
S
D
Consumer surplus is thearea above price and belowdemand
Producer surplus is thearea below price andabove supply
71
At output Q1, total surpluswill be smaller
Economic Efficiency and Welfare Analysis
Quantity
Price
P *
Q *
S
D
Q1
At outputs between Q1 andQ*, demanders would valuean additional unit more thanit would cost suppliers toproduce
72
Economic Efficiency and Welfare Analysis
• This tell us that under the assumptions that we have used (competitive industry), the government must argue why she was to alter the equilibrium price through policy
73
Welfare Loss Computations
• Use of consumer and producer surplus notions makes possible the explicit calculation of welfare losses caused by restrictions on voluntary transactions– in the case of linear demand and supply
curves, the calculation is simple because the areas of loss are often triangular
74
Welfare Loss Computations
• Suppose that the demand is given by
QD = 10 - P
and supply is given by
QS = P - 2
• Market equilibrium occurs where P* = 6 and Q* = 4
75
Welfare Loss Computations
• Restriction of output to Q0 = 3 would create a gap between what demanders are willing to pay (PD) and what suppliers require (PS)
PD = 10 - 3 = 7
PS = 2 + 3 = 5
76
The welfare loss from restricting outputto 3 is the area of a triangle
Welfare Loss Computations
Quantity
Price
S
D
6
4
7
5
3
The loss = (0.5)(2)(1) = 1
77
Welfare Loss Computations
• The welfare loss will be shared by producers and consumers
• In general, it will depend on the price elasticity of demand and the price elasticity of supply to determine who bears the larger portion of the loss– the side of the market with the smallest
price elasticity (in absolute value)
78
Price Controls and Shortages
• Sometimes governments may seek to control prices at below equilibrium levels– this will lead to a shortage
• We can look at the changes in producer and consumer surplus from this policy to analyze its impact on welfare
79
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
Initially, the market isin long-run equilibriumat P1, Q1
Demand increases to D’
D’
80
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
Firms would begin toenter the industry
In the short run, pricerises to P2
P2
The price would endup at P3
P3
81
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
P3
There will be a shortage equal toQ2 - Q1
Q2
Suppose that thegovernment imposesa price ceiling at P1
82
This gain in consumersurplus is the shadedrectangle
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
P3
Q2
Some buyers will gain because they can purchase the good for a lower price
83
The shaded rectangletherefore represents apure transfer fromproducers to consumers
Price Controls and Shortages
Quantity
Price
D
P1
Q1
D’
SS
LSP3
Q2
The gain to consumers is also a loss to producers who now receive a lower price
No welfare loss there
84
This shaded trianglerepresents the value of additional consumer surplus that would have been attained without the price control
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
P3
Q2
85
This shaded trianglerepresents the value of additional producer surplus that would have been attained without the price control
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
P3
Q2
86
This shaded arearepresents the total value of mutually beneficial transactions that are prevented by the government
Price Controls and Shortages
Quantity
PriceSS
D
LS
P1
Q1
D’
P3
Q2
This is a measure of the pure welfare costs of this policy
87
Disequilibrium Behavior• Notice that there are customers
willing to pay more to buy the good
• This could lead to a black market
88
Tax Incidence
• To discuss the effects of a per-unit tax (t), we need to make a distinction between the price paid by buyers (PD) and the price received by sellers (PS)
PD - PS = t
• In terms of small price changes, we wish to examine
dPD - dPS = dt
89
Tax Incidence
• Maintenance of equilibrium in the market requires
dQD = dQS
or
DPdPD = SPdPS
• Substituting, we get
DPdPD = SPdPS = SP(dPD - dt)
90
Tax Incidence
• We can now solve for the effect of the tax on PD:
DS
S
PP
PD
ee
e
DS
S
dt
dP
• Similarly,
DS
D
PP
PS
ee
e
DS
D
dt
dP
91
Tax Incidence
• Because eD 0 and eS 0, dPD /dt 0 and dPS /dt 0
• If demand is perfectly inelastic (eD = 0), the per-unit tax is completely paid by demanders
• If demand is perfectly elastic (eD = ), the per-unit tax is completely paid by suppliers
92
Tax Incidence
• In general, the actor with the less elastic responses (in absolute value) will experience most of the price change caused by the tax
S
D
D
S
e
e
dtdP
dtdP
/
/
93
Tax Incidence
Quantity
PriceS
D
P*
Q*
PD
PS
A per-unit tax creates awedge between the pricethat buyers pay (PD) andthe price that sellers receive (PS)
t
Q**
94
Buyers incur a welfare lossequal to the shaded area
Tax Incidence
Quantity
PriceS
D
P*
Q*
PD
PS
Q**
But some of this loss goesto the government in theform of tax revenue
95
Sellers also incur a welfareloss equal to the shaded area
Tax Incidence
Quantity
PriceS
D
P*
Q*
PD
PS
Q**
But some of this loss goesto the government in theform of tax revenue
96
Therefore, this is the dead-weight loss from the tax
Tax Incidence
Quantity
PriceS
D
P*
Q*
PD
PS
Q**
97
Deadweight Loss and Elasticity
• All nonlump-sum taxes involve deadweight losses– the size of the losses will depend on the
elasticities of supply and demand
• A linear approximation to the deadweight loss accompanying a small tax, dt, is given by
DW = -0.5(dt)(dQ)
98
Deadweight Loss and Elasticity
• From the definition of elasticity, we know that
dQ = eDdPD Q0/P0
• This implies that
dQ = eD [eS /(eS - eD)] dt Q0/P0
• Substituting, we get
00
2
0
50 QPeeeeP
dtDW DSSD )]/([.
99
Deadweight Loss and Elasticity
• Deadweight losses are zero if either eD or eS are zero
– the tax does not alter the quantity of the good that is traded
• Deadweight losses are smaller in situations where eD or eS are small
100
Transactions Costs• Transactions costs can also create a
wedge between the price the buyer pays and the price the seller receives– real estate agent fees– broker fees for the sale of stocks
• If the transactions costs are on a per-unit basis, these costs will be shared by the buyer and seller– depends on the specific elasticities involved
101
Gains from International Trade
Quantity
Price
S
D
Q*
P*
In the absence ofinternational trade,the domesticequilibrium price would be P* andthe domesticequilibrium quantitywould be Q*
102
Gains from International Trade
Quantity
Price
Q*
P*
S
D
Quantity demanded willrise to Q1 and quantitysupplied will fall to Q2
Q1Q2
If the world price (PW)is less than the domesticprice, the price will fallto PW
PW
Imports = Q1 - Q2
imports
103
Consumer surplus rises
Producer surplus falls
There is an unambiguouswelfare gain
Gains from International Trade
Quantity
Price
Q*
P*
S
D
Q2Q1
PW
104
Effects of a Tariff
Quantity
Price
S
D
Q1Q2
PW
Quantity demanded fallsto Q3 and quantity suppliedrises to Q4
Q4 Q3
Suppose that the governmentcreates a tariff that raisesthe price to PR
PR
Imports are now Q3 - Q4
imports
105
Consumer surplus falls
Producer surplus rises
These two triangles represent deadweight loss
The government getstariff revenue
Effects of a Tariff
Quantity
Price
S
D
Q1Q2
PW
Q4 Q3
PR
106
Quantitative Estimates of Deadweight Losses
• Estimates of the sizes of the welfare loss triangle can be calculated
• Because PR = (1+t)PW, the proportional change in quantity demanded is
DDW
WR teeP
PP
Q
1
13
107
The areas of these twotriangles are
Quantitative Estimates of Deadweight Losses
Quantity
Price
S
D
Q1Q2
PW
Q4 Q3
PR
))((. 311 50 QQPPDW WR
12
1 50 QPetDW WD.
))((. 242 50 QQPPDW WR
22
2 50 QPetDW WS.
108
Other Trade Restrictions• A quota that limits imports to Q3 - Q4
would have effects that are similar to those for the tariff– same decline in consumer surplus– same increase in producer surplus
• One big difference is that the quota does not give the government any tariff revenue– the deadweight loss will be larger
109
Trade and Tariffs• If the market demand curve is
QD = 200P-1.2
and the market supply curve is
QS = 1.3P,
the domestic long-run equilibrium will occur where P* = 9.87 and Q* = 12.8
110
Trade and Tariffs• If the world price was PW = 9, QD would
be 14.3 and QS would be 11.7
– imports will be 2.6
• If the government placed a tariff of 0.5 on each unit sold, the world price will be PW = 9.5
– imports will fall to 1.0
111
Trade and Tariffs• The welfare effect of the tariff can be
calculated
DW1 = 0.5(0.5)(14.3 - 13.4) = 0.225
DW2 = 0.5(0.5)(12.4 - 11.7) = 0.175
• Thus, total deadweight loss from the tariff is 0.225 + 0.175 = 0.4
112
Important Points to Note:• The concepts of consumer and producer
surplus provide useful ways of analyzing the effects of economic changes on the welfare of market participants– changes in consumer surplus represent
changes in the overall utility consumers receive from consuming a particular good
– changes in long-run producer surplus represent changes in the returns product inputs receive
113
Important Points to Note:
• Price controls involve both transfers between producers and consumers and losses of transactions that could benefit both consumers and producers
114
Important Points to Note:• Tax incidence analysis concerns the
determination of which economic actor ultimately bears the burden of a tax– this incidence will fall mainly on the actors
who exhibit inelastic responses to price changes
– taxes also involve deadweight losses that constitute an excess burden in addition to the burden imposed by the actual tax revenues collected
115
Important Points to Note:
• Transaction costs can sometimes be modeled as taxes– both taxes and transaction costs may affect
the attributes of transactions depending on the basis on which the costs are incurred
116
Important Points to Note:
• Trade restrictions such as tariffs or quotas create transfers between consumers and producers and deadweight losses of economic welfare– the effects of many types of trade
restrictions can be modeled as being equivalent to a per-unit tariff