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Transcript
Chapter 10
THE PARTIAL EQUILIBRIUM
COMPETITIVE MODEL:
-Market demand
-Market supply
Copyright ©2005 by South-Western, a division of Thomson Learning. All rights reserved.
1
Market Demand
We start by studying the demand of the
market
2
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
Market demand for X   xi ( px , py , Ii )
i 1
3
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
4
Market Demand
To derive the market demand curve, we sum the
quantities demanded at every price
px
px
Individual 1’s
demand curve
Individual 2’s
demand curve
px
Market demand
curve
px*
x1
x1*
X
x2
x
x2*
x
X*
x
x1* + x2* = X*
5
Shifts in the Market
Demand 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
6
Elasticity of Market Demand
• The price elasticity of market demand is
measured by
eX , PX
X ( PX , Py , I ) PX


PX
X
• Market demand is characterized by
whether demand is elastic (eX,Px <-1) or
inelastic (0> eX,Px > -1)
7
Elasticity of Market Demand
• The cross-price elasticity of market demand is
measured by
X ( PX , Py , I ) Py
e X , Py 

Py
X
• The income elasticity of market demand is
measured by
eX , I 
X ( PX , Py , I )
I
I

X
8
• 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
9
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
10
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
11
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
12
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
13
Short-Run Market Supply
Function
• The short-run market supply function
shows total quantity supplied by each
firm to a market
n
X s ( Px , v, w)   qi ( Px , v, w)
i 1
• Firms are assumed to face the same
market price and the same prices for
inputs
14
Short-Run Market Supply Curve
To derive the market supply curve, we sum the
quantities supplied at every price
P
Firm A’s
supply curve
P
P
sB
sA
Firm B’s
supply curve
Market supply
curve
S
P1
q1A
quantity
q1B
quantity
Q1
Quantity
q1A + q1B = Q1
15
Short-Run Supply Elasticity
• The short-run supply elasticity describes
the responsiveness of quantity supplied
to changes in market price
eS,P
% change in Q supplied QS P



% change in P
P QS
• Because price and quantity supplied are
positively related, eS,P > 0
• See example 10.2 in the book
16
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
17
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:
X D ( Px *, Py , I )  X S ( Px *, v, w)
18
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 19
Equilibrium Price
Determination
The interaction between
market demand and market
supply determines the
equilibrium price
Price
S
P1
D
Q1
Quantity
20
Market Reaction to a
Shift in Demand
If many buyers experience
an increase in their demands,
the market demand curve
will shift to the right
Price
S
P2
P1
D’
Equilibrium price and
equilibrium quantity will
both rise
D
Q1
Q2
Quantity
21
Market Reaction to a
Shift in Demand
If the market price rises,
firms will increase their
level of output
Price
SMC
SAC
P2
P1
q1
q2
This is the short-run
supply response to an
increase in market price
Quantity
22
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
23
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
24
Shifts in Supply
Small increase in price,
large drop in quantity
Price
Large increase in price,
small drop in quantity
Price
S’
S’
S
S
P’
P
P’
P
D
D
Q’
Q
Elastic Demand
Quantity
Q’ Q
Inelastic Demand
Quantity
25
Shifts in Demand
Small increase in price,
large rise in quantity
Large increase in price,
small rise in quantity
Price
Price
S
S
P’
P’
P
P
D’
D’
D
Q
Q’
Elastic Supply
D
Quantity
Q
Q’
Quantity
Inelastic Supply
26
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
27
Mathematical Model of
Supply and Demand
• Suppose that the demand function is
represented by
QD = D(P,)
–  is a parameter that shifts the demand curve
• D/ = D can have any sign
– D/P = DP < 0
28
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
29
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 + Dd
dQS = SPdP + Sd
• Maintenance of equilibrium requires that
dQD = dQS
30
Mathematical Model of
Supply and Demand
• Suppose that the demand parameter ()
changed while  remains constant
• The equilibrium condition requires that
DPdP + Dd = SPdP
D
P

 SP  DP
• Because SP - DP > 0, P/ will have the
same sign as D
31
Mathematical Model of
Supply and Demand
• We can convert our analysis to elasticities
eP ,
D
P 


 

 P SP  DP P
Dividing numerator and denominator by Q…
eP ,

D
Q
eQ,


P eS,P  eQ,P
(SP  DP ) 
Q
32
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
33
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
34
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
35
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 longrun equilibrium
– this will occur when the number of firms is
such that P = MC = AC and each firm
operates at minimum AC
36
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
37
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)
38
Long-Run Equilibrium:
Constant-Cost Case
This is a long-run equilibrium for this industry
Price
SMC
P = MC = AC
Price
MC
S
AC
P1
D
q1
A Typical Firm
Quantity
Q1
Total Market
39
Quantity
Long-Run Equilibrium:
Constant-Cost Case
Suppose that market demand rises to D’
Price
SMC
Price
MC
Market price rises to P2
S
AC
P2
P1
D’
D
q1
A Typical Firm
Quantity
Q1 Q2
Total Market
40
Quantity
Long-Run Equilibrium:
Constant-Cost Case
In the short run, each firm increases output to q2
Economic profit > 0
Price
SMC
Price
MC
S
AC
P2
P1
D’
D
q1
q2
A Typical Firm
Quantity
Q1 Q2
Total Market
41
Quantity
Long-Run Equilibrium:
Constant-Cost Case
In the long run, new firms will enter the industry
Economic profit will return to 0
Price
SMC
Price
MC
S
S’
AC
P1
D’
D
q1
A Typical Firm
Quantity
Q1
Q3
Total Market
42
Quantity
Long-Run Equilibrium:
Constant-Cost Case
Price
The long-run supply curve will be a horizontal line
(infinitely elastic) at p1
SMC
Price
MC
S
S’
AC
P1
LS
D’
D
q1
A Typical Firm
Quantity
Q1
Q3
Total Market
43
Quantity
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
44
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
45
Long-Run Equilibrium:
Increasing-Cost Industry
Suppose that we are in long-run equilibrium in this industry
P = MC = AC
Price
SMC
Price
MC
S
AC
P1
D
q1
Quantity
A Typical Firm (before entry)
Q1
Total Market
46
Quantity
Long-Run Equilibrium:
Increasing-Cost Industry
Suppose that market demand rises to D’
Market price rises to P2 and firms increase output to q2
Price
SMC
MC
Price
S
AC
P2
P1
D’
D
q1
q2
Quantity
A Typical Firm (before entry)
Q1 Q2
Total Market
47
Quantity
Long-Run Equilibrium:
Increasing-Cost Industry
Positive profits attract new firms and supply shifts out
Entry of firms causes costs for each firm to rise
Price
SMC’
Price
MC’
S
S’
AC’
P3
P1
D’
D
q3
A Typical Firm (after entry)
Quantity
Q1
Q3
Total Market
48
Quantity
Long-Run Equilibrium:
Increasing-Cost Industry
The long-run supply curve will be upward-sloping
Price
SMC’
Price
MC’
S
S’
AC’
LS
p3
p1
D’
D
q3
A Typical Firm (after entry)
Quantity
Q1
Q3
Total Market
49
Quantity
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
50
Long-Run Equilibrium:
Decreasing-Cost Case
Suppose that we are in long-run equilibrium in this industry
Price
SMC
P = MC = AC
Price
MC
S
AC
P1
D
q1
Quantity
A Typical Firm (before entry)
Q1
Total Market
51
Quantity
Long-Run Equilibrium:
Decreasing-Cost Industry
Suppose that market demand rises to D’
Market price rises to P2 and firms increase output to q2
Price
SMC
Price
MC
S
AC
P2
P1
D
q1
q2
Quantity
A Typical Firm (before entry)
Q1 Q2
Total Market
D’
52
Quantity
Long-Run Equilibrium:
Decreasing-Cost Industry
Positive profits attract new firms and supply shifts out
Entry of firms causes costs for each firm to fall
Price
SMC’
Price
S
MC’
S’
AC’
P1
P3
D’
D
q1 q3
Quantity
A Typical Firm (before entry)
Q1
Total Market
Q3
53
Quantity
Long-Run Equilibrium:
Decreasing-Cost Industry
The long-run industry supply curve will be downward-sloping
Price
Price
SMC’
S
MC’
S’
AC’
P1
P3
D
q1 q3
Quantity
A Typical Firm (before entry)
Q1
Total Market
D’
LS
54
Q3 Quantity
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
55
Classification of Long-Run
Supply Curves
• Decreasing Cost
– entry reduces input costs
– the long-run supply curve is negatively
sloped
56
Long-Run Elasticity of Supply
• The long-run elasticity of supply (eLS,P)
records the proportionate change in longrun industry output to a proportionate
change in price
eLS ,P
% change in Q QLS P



% change in P
P QLS
• eLS,P can be positive or negative
– the sign depends on whether the industry
exhibits increasing or decreasing costs
57
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
58
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*
59
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
Q1  Q0
n1  n0 
q*
– completely determined by the extent of the
demand shift and the optimal output level for
60
the typical firm
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
61
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
62
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
63
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
64
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
65
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
66
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
67
Chapter 11
APPLIED COMPETITIVE
ANALYSIS
Copyright ©2005 by South-Western, a division of Thomson Learning. All rights reserved.
68
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
69
Economic Efficiency and
Welfare Analysis
Price
S
Consumer surplus is the
area above price and below
demand
P*
Producer surplus is the
area below price and
above supply
D
Quantity
Q*
70
Economic Efficiency and
Welfare Analysis
Price
S
At output Q1, total surplus
will be smaller
At outputs between Q1 and
Q*, demanders would value
an additional unit more than
it would cost suppliers to
produce
P*
D
Quantity
Q1
Q*
71
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
72
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
73
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
74
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
75
Welfare Loss Computations
The welfare loss from restricting output
to 3 is the area of a triangle
Price
S
7
The loss = (0.5)(2)(1) = 1
6
5
D
3
4
Quantity
76
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)
77
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
78
Price Controls and Shortages
Price
Initially, the market is
in long-run equilibrium
at P1, Q1
SS
LS
P1
Demand increases to D’
D’
D
Q1
Quantity
79
Price Controls and Shortages
Price
SS
In the short run, price
rises to P2
P2
LS
P3
Firms would begin to
enter the industry
P1
D’
The price would end
up at P3
D
Q1
Quantity
80
Price Controls and Shortages
Price
Suppose that the
government imposes
a price ceiling at P1
SS
LS
P3
P1
D’
There will be a
shortage equal to
Q2 - Q1
D
Q1
Q2
Quantity
81
Price Controls and Shortages
Price
Some buyers will gain
because they can
purchase the good for
a lower price
SS
LS
P3
P1
D’
This gain in consumer
surplus is the shaded
rectangle
D
Q1
Q2
Quantity
82
Price Controls and Shortages
Price
The gain to consumers
is also a loss to
producers who now
receive a lower price
SS
LS
P3
P1
D’
D
Q1
Q2
The shaded rectangle
therefore represents a
pure transfer from
producers to consumers
No welfare loss there
Quantity
83
Price Controls and Shortages
Price
SS
LS
P3
P1
D’
This shaded triangle
represents the value
of additional
consumer surplus
that would have
been attained
without the price
control
D
Q1
Q2
Quantity
84
Price Controls and Shortages
Price
SS
LS
P3
P1
D’
This shaded triangle
represents the value
of additional
producer surplus
that would have
been attained
without the price
control
D
Q1
Q2
Quantity
85
Price Controls and Shortages
Price
SS
LS
P3
This shaded area
represents the total
value of mutually
beneficial transactions
that are prevented by
the government
P1
D’
D
Q1
Q2
This is a measure of
the pure welfare
costs of this policy
Quantity
86
Disequilibrium Behavior
• Notice that there are customers
willing to pay more to buy the good
• This could lead to a black market
87
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
88
Tax Incidence
• Maintenance of equilibrium in the
market requires
dQD = dQS
or
DPdPD = SPdPS
• Substituting, we get
DPdPD = SPdPS = SP(dPD - dt)
89
Tax Incidence
• We can now solve for the effect of the
tax on PD:
eS
dPD
SP


dt
SP  DP eS  eD
• Similarly,
dPS
DP
eD


dt
SP  DP eS  eD
90
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
91
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
dPS / dt
eD


dPD / dt
eS
92
Tax Incidence
Price
S
A per-unit tax creates a
wedge between the price
that buyers pay (PD) and
the price that sellers
receive (PS)
PD
P*
t
PS
D
Q**
Q*
Quantity
93
Tax Incidence
Price
S
Buyers incur a welfare loss
equal to the shaded area
PD
P*
But some of this loss goes
to the government in the
form of tax revenue
PS
D
Q**
Q*
Quantity
94
Tax Incidence
Price
S
Sellers also incur a welfare
loss equal to the shaded area
PD
But some of this loss goes
to the government in the
form of tax revenue
P*
PS
D
Q**
Q*
Quantity
95
Tax Incidence
Price
S
PD
Therefore, this is the deadweight loss from the tax
P*
PS
D
Q**
Q*
Quantity
96
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)
97
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
2
 dt 
DW  0.5  [eD eS /( eS  eD )]P0Q0
 P0 
98
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
99
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
100
Gains from International Trade
Price
S
P*
In the absence of
international trade,
the domestic
equilibrium price
would be P* and
the domestic
equilibrium quantity
would be Q*
D
Q*
Quantity
101
Gains from International Trade
Price
S
If the world price (PW)
is less than the domestic
price, the price will fall
to PW
Quantity demanded will
rise to Q1 and quantity
supplied will fall to Q2
P*
PW
D
Q2
Q*
Q1
imports
Imports = Q1 - Q2
Quantity
102
Gains from International Trade
Price
S
Consumer surplus rises
Producer surplus falls
There is an unambiguous
welfare gain
P*
PW
D
Q1
Q*
Q2
Quantity
103
Effects of a Tariff
Price
S
Suppose that the government
creates a tariff that raises
the price to PR
Quantity demanded falls
to Q3 and quantity supplied
rises to Q4
PR
PW
Imports are now Q3 - Q4
D
Q2 Q4 Q3 Q1
imports
Quantity
104
Effects of a Tariff
Price
Consumer surplus falls
S
Producer surplus rises
The government gets
tariff revenue
PR
PW
These two triangles
represent deadweight loss
D
Q2 Q4 Q3 Q1
Quantity
105
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
Q3  Q1 PR  PW

 eD  teD
Q1
PW
106
Price
Quantitative Estimates of
Deadweight Losses
S
The areas of these two
triangles are
DW1  0.5(PR  PW )(Q1  Q3 )
DW1  0.5t 2eDPW Q1
PR
PW
DW2  0.5(PR  PW )(Q4  Q2 )
D
Q2 Q4 Q3 Q1
DW2  0.5t 2eS PW Q2
Quantity
107
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
108
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
109
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
110
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
111
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
112
Important Points to Note:
• Price controls involve both transfers
between producers and consumers and
losses of transactions that could benefit
both consumers and producers
113
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
114
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
115
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
116