Transcript Slide 1
CHAPTER
Consumers, Producers,
and the Efficiency of Markets
Economics
PRINCIPLES OF
N. Gregory Mankiw
© 2009 South-Western, a part of Cengage Learning, all rights reserved
In this chapter,
look for the answers to these questions:
What is consumer/producer surplus? How are they
related to the demand/supply curves?
How do they relate to identifying the best market
outcomes?
What is deadweight loss?
How do these concepts relate to mechanisms, like
taxes, that are artificially imposed upon the
marketplace?
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Welfare Economics
Recall, the allocation of resources refers to:
how much of each good is produced
which producers produce it
which consumers consume it
Welfare economics studies how the allocation
of resources affects economic well-being.
First, we look at the well-being of consumers.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
2
Willingness to Pay (WTP)
A buyer’s willingness to pay for a good is the
maximum amount the buyer will pay for that good.
WTP measures how much the buyer values the good.
name
WTP
Anthony $250
Chad
175
Flea
300
John
125
Example:
4 buyers’ WTP
for an iPod
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
3
WTP and the Demand Curve
P
$350
$300
P
Qd
$250
$200
$301 & up
0
251 – 300
1
$150
176 – 250
2
$100
$50
126 – 175
3
0 – 125
4
$0
Q
0
1
2
3
4
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Consumer Surplus (CS)
Consumer surplus is the amount a buyer is willing
to pay minus the amount the buyer actually pays:
CS = WTP – P
name
WTP
Anthony $250
Suppose P = $260.
Flea’s CS = $300 – 260 = $40.
Chad
175
Flea
300
The others get no CS because
they do not buy an iPod at this
price.
John
125
Total CS = $40.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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CS and the Demand Curve
P
Flea’s WTP
$350
$300
Anthony’s WTP
$250
$200
Instead, suppose
P = $220
Flea’s CS =
$300 – 220 = $80
Anthony’s CS =
$250 – 220 = $30
$150
Total CS = $110
$100
$50
$0
Q
0
1
2
3
4
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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CS and the Demand Curve
P
The lesson:
Total CS equals
the area under
the demand curve
above the price,
from 0 to Q.
$350
$300
$250
$200
$150
$100
$50
$0
Q
0
1
2
3
4
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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CS with Lots of Buyers & a Smooth D Curve
CS is the area b/w
P and the D curve,
from 0 to Q.
Recall: area of
a triangle equals
½ x base x height
Height =
$60 – 30 = $30.
So,
CS = ½ x 15 x $30
= $225.
P
The demand for shoes
$ 60
50
h
40
30
20
10
D
Q
0
0
5 10 15 20 25 30
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Cost and the Supply Curve
Cost is the value of everything a seller must give
up to produce a good (i.e., opportunity cost).
Includes cost of all resources used to produce
good, including value of the seller’s time.
Example: Costs of 3 sellers in the lawn-cutting
business.
name
cost
Jack
$10
Janet
20
Chrissy
35
A seller will produce and sell
the good/service only if the
price exceeds his or her cost.
Hence, cost is a measure of
willingness to sell.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Producer Surplus
PS = P – cost
P
$40
Producer surplus (PS):
the amount a seller
is paid for a good
minus the seller’s cost
$30
$20
$10
$0
Q
0
1
2
3
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Producer Surplus and the S Curve
PS = P – cost
P
$40
Chrissy’s
cost
$30
Janet’s
cost
$20
Jack’s cost
$10
$0
Q
0
1
2
3
Suppose P = $25.
Jack’s PS = $15
Janet’s PS = $5
Chrissy’s PS = $0
Total PS = $20
Total PS equals the
area above the supply
curve under the price,
from 0 to Q.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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How a Lower Price Reduces PS
If P falls to $30,
PS = ½ x 15 x $15
= $112.50
60
Two reasons for
the fall in PS.
40
2. Fall in PS due to
remaining sellers
getting lower P
P
50
1. Fall in PS
due to sellers
leaving market
S
30
20
10
Q
0
0
5 10 15 20 25 30
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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CS, PS, and Total Surplus
CS = (value to buyers) – (amount paid by buyers)
= buyers’ gains from participating in the market
PS = (amount received by sellers) – (cost to sellers)
= sellers’ gains from participating in the market
Total surplus = CS + PS
= total gains from trade in a market
= (value to buyers) – (cost to sellers)
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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The Market’s Allocation of Resources
In a market economy, the allocation of resources
is decentralized, determined by the interactions
of many self-interested buyers and sellers.
Is the market’s allocation of resources desirable?
Or would a different allocation of resources make
society better off?
To answer this, we use total surplus as a measure
of society’s well-being, and we consider whether
the market’s allocation is efficient.
(Policymakers also care about equality, though are
focus here is on efficiency.)
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Efficiency
Total
= (value to buyers) – (cost to sellers)
surplus
An allocation of resources is efficient if it maximizes
total surplus. Efficiency means:
The goods are consumed by the buyers who
value them most highly.
The goods are produced by the producers with the
lowest costs.
Raising or lowering the quantity of a good
would not increase total surplus.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Evaluating the Market Equilibrium
Market eq’m:
P = $30
Q = 15,000
Total surplus
= CS + PS
Is the market eq’m
efficient?
P
60
S
50
40
CS
30
PS
20
10
D
Q
0
0
5 10 15 20 25 30
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Does Eq’m Q Maximize Total Surplus?
The market
eq’m quantity
maximizes
total surplus:
At any other
quantity,
can increase
total surplus by
moving toward
the market eq’m
quantity.
P
60
S
50
40
30
20
10
D
Q
0
0
5 10 15 20 25 30
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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The free market vs. central planning
Suppose resources were allocated not by the
market, but by a central planner who cares about
society’s well-being.
To allocate resources efficiently and maximize total
surplus, the planner would need to know every
seller’s cost and every buyer’s WTP for every good
in the entire economy.
This is impossible, and why centrally-planned
economies are never very efficient.
CONSUMERS, PRODUCERS, AND THE EFFICIENCY OF MARKETS
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Taxes
The govt levies taxes on many goods & services
to raise revenue to pay for national defense,
public schools, etc.
The govt can make buyers or sellers pay the tax.
The tax can be a % of the good’s price,
or a specific amount for each unit sold.
For simplicity, we analyze per-unit taxes only.
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
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EXAMPLE 3: The Market for Pizza
Eq’m
w/o tax
P
S1
$10.00
D1
500
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
Q
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A Tax on Buyers
The
price
buyers
pay
Hence,
a tax
on buyers
is
nowthe
$1.50
higher
than
shifts
D curve
down
the
market
price
by the
amount
ofP.
the tax.
Effects of a $1.50 per
unit tax on buyers
P
P would have to fall
by $1.50 to make
$10.00
buyers willing
to buy same Q
as before.
$8.50
E.g., if P falls
from $10.00 to $8.50,
buyers still willing to
purchase 500 pizzas.
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
S1
Tax
D1
D2
500
Q
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A Tax on Buyers
New eq’m:
Effects of a $1.50 per
unit tax on buyers
Q = 450
Sellers
receive
PS = $9.50
Buyers pay
PB = $11.00
P
PB = $11.00
S1
Tax
$10.00
PS = $9.50
Difference
between them
= $1.50 = tax
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
D1
D2
450 500
Q
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The Incidence of a Tax:
how the burden of a tax is shared among
market participants
In our
example,
buyers pay
$1.00 more,
P
PB = $11.00
S1
Tax
$10.00
PS = $9.50
sellers get
$0.50 less.
D1
D2
450 500
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
Q
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A Tax on Sellers
The tax effectively raises
sellers’ costs by
P
$1.50 per pizza.
$11.50
Sellers will supply
500 pizzas
only if
P rises to $11.50,
to compensate for
this cost increase.
Effects of a $1.50 per
unit tax on sellers
S2
Tax S1
$10.00
Hence, a tax on sellers shifts the
S curve up by the amount of the tax.
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
D1
500
Q
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A Tax on Sellers
New eq’m:
Effects of a $1.50 per
unit tax on sellers
Q = 450
Buyers pay
PB = $11.00
Sellers
receive
PS = $9.50
P
PB = $11.00
S2
S1
Tax
$10.00
PS = $9.50
Difference
between them
= $1.50 = tax
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
D1
450 500
Q
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The Outcome Is the Same in Both Cases!
The effects on P and Q, and the tax incidence are the
same whether the tax is imposed on buyers or sellers!
What matters
is this:
A tax drives
a wedge
between the
price buyers
pay and the
price sellers
receive.
P
PB = $11.00
S1
Tax
$10.00
PS = $9.50
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
D1
450 500
Q
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Elasticity and Tax Incidence
CASE 1: Supply is more elastic than demand
It’s easier
for sellers
than buyers
to leave the
market.
P
Buyers’ share
of tax burden
PB
S
Tax
Price if no tax
Sellers’ share
of tax burden
So buyers
bear most of
the burden
of the tax.
PS
D
Q
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
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Elasticity and Tax Incidence
CASE 2: Demand is more elastic than supply
P
Buyers’ share
of tax burden
S
PB
Price if no tax
Sellers’ share
of tax burden
It’s easier
for buyers
than sellers
to leave the
market.
Tax
PS
Sellers bear
most of the
burden of
the tax.
D
Q
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
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CASE STUDY: Who Pays the Luxury Tax?
1990: Congress adopted a luxury tax on yachts,
private airplanes, furs, expensive cars, etc.
Goal of the tax: raise revenue from those
who could most easily afford to pay –
wealthy consumers.
But who really pays this tax?
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
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CASE STUDY: Who Pays the Luxury Tax?
The market for yachts
P
Buyers’ share
of tax burden
Demand is
price-elastic.
S
In the short run,
supply is inelastic.
PB
Tax
Sellers’ share
of tax burden
PS
D
Q
SUPPLY, DEMAND, AND GOVERNMENT POLICIES
Hence,
companies
that build
yachts pay
most of
the tax.
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The Effects of a Tax
P
Eq’m with no tax:
Price = PE
Quantity = QE
Eq’m with
tax = $T per unit:
Buyers pay PB
Sellers receive PS
Size of tax = $T
S
PB
PE
PS
D
Quantity = QT
QT
APPLICATION: THE COSTS OF TAXATION
QE
Q
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The Effects of a Tax
P
Revenue from tax:
$T x QT
Size of tax = $T
S
PB
PE
PS
D
QT
APPLICATION: THE COSTS OF TAXATION
QE
Q
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The Effects of a Tax
Next, we apply welfare economics to measure
the gains and losses from a tax.
We determine consumer surplus (CS),
producer surplus (PS), tax revenue,
and total surplus with and without the tax.
Tax revenue can fund beneficial services
(e.g., education, roads, police)
so we include it in total surplus.
APPLICATION: THE COSTS OF TAXATION
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The Effects of a Tax
P
Without a tax,
CS = A + B + C
PS = D + E + F
Tax revenue = 0
Total surplus
= CS + PS
=A+B+C
+D+E+F
A
S
B
PE
D
C
E
D
F
QT
APPLICATION: THE COSTS OF TAXATION
QE
Q
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The Effects of a Tax
With the tax,
CS = A
PS = F
Tax revenue
=B+D
Total surplus
=A+B
+D+F
P
A
PB
S
B
D
C
E
PS
D
F
The tax reduces
total surplus by
C+E
APPLICATION: THE COSTS OF TAXATION
QT
QE
Q
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The Effects of a Tax
P
C + E is called the
deadweight loss
(DWL) of the tax,
the fall in total
surplus that
results from a
market distortion,
such as a tax.
A
PB
S
B
D
C
E
PS
D
F
QT
APPLICATION: THE COSTS OF TAXATION
QE
Q
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About the Deadweight Loss
P
Because of the tax,
the units between
QT and QE are not
sold.
The value of these
units to buyers is
greater than the cost
of producing them,
PB
S
PS
D
so the tax prevents
some mutually
beneficial trades.
APPLICATION: THE COSTS OF TAXATION
QT
QE
Q
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What Determines the Size of the DWL?
Which goods or services should govt tax
to raise the revenue it needs?
One answer: those with the smallest DWL.
When is the DWL small vs. large?
Turns out it depends on the price elasticities
of supply and demand.
Recall:
The price elasticity of demand (or supply)
measures how much QD (or QS) changes
when P changes.
APPLICATION: THE COSTS OF TAXATION
38
DWL and the Elasticity of Supply
When supply
is inelastic,
P
it’s harder for firms
to leave the market
when the tax
reduces PS.
So, the tax only
reduces Q a little,
and DWL is small.
S
Size
of tax
D
Q
APPLICATION: THE COSTS OF TAXATION
39
DWL and the Elasticity of Supply
The more elastic is
supply,
the easier for firms
to leave the market
when the tax
reduces PS,
the greater Q falls
below the surplusmaximizing quantity,
P
S
Size
of tax
the greater the DWL.
APPLICATION: THE COSTS OF TAXATION
D
Q
40
ACTIVE LEARNING
3
Discussion question
The government must raise tax revenue to pay
for schools, police, etc. To do this, it can either
tax groceries or meals at fancy restaurants.
Which should it tax?
41
The Effects of Changing the Size of the Tax
Policymakers often change taxes, raising some
and lowering others.
What happens to DWL and tax revenue when
taxes change? We explore this next….
APPLICATION: THE COSTS OF TAXATION
42
DWL and the Size of the Tax
Initially, the tax is
T per unit.
Tripling the tax
causes the DWL
to more than
triple.
P
new
DWL
S
T
3T
D
initial
DWL
Q3
APPLICATION: THE COSTS OF TAXATION
Q1
Q
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Revenue and the Size of the Tax
P
PB
PB
When the
tax is larger,
increasing it
causes tax
revenue to fall.
S
3T
2T
D
PS
PS
Q3
APPLICATION: THE COSTS OF TAXATION
Q2
Q
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Revenue and the Size of the Tax
The Laffer curve
Tax
shows the
revenue
relationship
between
the size of the tax
and tax revenue.
The Laffer curve
Tax size
APPLICATION: THE COSTS OF TAXATION
45