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Comparative statics Market Equilibrium, Price Rationing and Consumer Welfare
29

Comparative Statics

Aug 12, 2015

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Page 1: Comparative Statics

Comparative statics

Market Equilibrium, Price Rationing and Consumer Welfare

Page 2: Comparative Statics

P

Q

Market Equilibrium:Where Quantity Demanded equals Quantity Supplied.

E

Q s

Q d

Page 3: Comparative Statics

Doing Some MathEquilibrium Analysis, Mathematically.

Suppose an economy is described by the following system of equations:

Q = 16 – 4P

Q = 8P – 2

(Demand)

(Supply)

Demand Schedule

PriceQty.

Demanded

$1 12

$2 8

$3 4

Supply Schedule

PriceQty.

Supplied

$1 6

$2 14

$3 22

*To find the equilibrium price, set quantity supplied equal to quantity demanded and solve:

P* = $1.50

QD* = QS* = 10 Units

Page 4: Comparative Statics

P

Q

What happens if the good is priced at $6?

Q s

Q d

E$10

24

Page 5: Comparative Statics

P

Q

What happens if the good is priced at $6?

Q s

Q d

A B$6

20 35

At that price, households will demand B = 35 units, but firms are only willing to supply A= 20; price will have to rise.

E$10

24

Page 6: Comparative Statics

P

Q

What happens if the good is priced at $15?

E

Q s

Q d

$10

24

Page 7: Comparative Statics

P

Q

What happens if the good is priced at $15?

E

Q s

Q d

$10

24

At that price, firms will be willing to produce as much as B’= 32 units, but households are only willing to buy A’ = 18; price will have to fall.

$15A’ B’

18 32

Page 8: Comparative Statics

Excess Supply

Excess Demand

P

Q

Therefore, “above” the equilibrium point we have excess supply, and “below” the equilibrium point we have excess demand.

E

Q s

Q d

Page 9: Comparative Statics

P

Q

Scenario: Wealth Increases and the Good is Normal

S

D

P

Q

Page 10: Comparative Statics

P

Q

Scenario: Wealth Increases and the Good is Normal

S

D

P

Q

D’

P’

Q’

Page 11: Comparative Statics

P

Q

Scenario: The Price of Complementary Goods Increases

S

D

P

Q

Page 12: Comparative Statics

P

Q

Scenario: The Price of Complementary Goods Increases

S

D

P

Q

D’

P’

Q’

Page 13: Comparative Statics

P

Q

Scenario: Technology Improves

S

P

Q

Page 14: Comparative Statics

P

Q

Scenario: Technology Improves

S

P

Q

D

S’

P’

Q’

Page 15: Comparative Statics

P

Q

S

D

P

Q

Scenario: Both Demand and Supply Curves Shift

Page 16: Comparative Statics

Scenario: Both Demand and Supply Curves Shift

IT DEPENDS!!!

• Hypothetically, if they shift in the same direction and in

the same proportion, then quantities will change in the

direction of the shift but prices will remain the same.

• Otherwise, it is necessary to know which shift has the

larger magnitude to draw any conclusions.

• The effect is clearer when the two curves shift in

opposite directions.

Page 17: Comparative Statics

P

Q

D

Case 1: Rare Item AuctionsWhy do rare items fetch such high prices?

SP

Q

Page 18: Comparative Statics

Case 2: Minimum WageWhat happens when there are price floors.

Labor Supply

Labor Demand

W

Q

Min.Wage

Excess Supply

L

W

Page 19: Comparative Statics

Case 3: Oil PricesWhat happens when there are price ceilings.

P

Q

$1.50

S1974

D1974

QS dQ

Excess Demand

$0.57

Page 20: Comparative Statics

Case 4: Oil ConsumptionIntroducing a fee on Oil Imports.

P

Q

S

DWorld Oil Price

($18) Imports

Domestic Oil Production and Consumption

Import Fee

Price w/ Import Fee ($24)

Page 21: Comparative Statics

Case 5: Illegal NarcoticsDemand versus supply approaches to combat the drug problem.

P

Q

S

D

P

Q

A Supply-Oriented Approach

Q’

S’

P’

Page 22: Comparative Statics

Case 5: Illegal NarcoticsDemand versus supply approaches to combat the drug problem.

P

Q

S

D

P

Q

A Demand-Oriented Approach

Q’

D’

P’

Page 23: Comparative Statics

P

Q

Qs

Qd

P*

Consumer Surplus: The area below the demand curve but

above the price level.

E

Welfare AnalysisFree markets maximize the benefit to households and firms...

Page 24: Comparative Statics

P

Q

Qs

Q d

P*

Consumer Surplus: The area below the demand curve but

above the price level.

Producer Surplus: The area above the

supply curve but below the price level.

E

Welfare AnalysisFree markets maximize the benefit to households and firms...

Page 25: Comparative Statics

P

Q

Qs

Q d

P*E

Welfare Analysis (2)...although sometimes firms get the prices right and get the quantities wrong.

Page 26: Comparative Statics

P

Q

Qs

Q d

P*E

Welfare Analysis (2)...although sometimes firms get the prices right and get the quantities wrong.

Y

B

Page 27: Comparative Statics

P

Q

Qs

Q d

P*E

Welfare Analysis (2)...although sometimes firms get the prices right and get the quantities wrong.

Y

B

Page 28: Comparative Statics

P

Q

Qs

Q d

P*E

Welfare Analysis (2)...although sometimes firms get the prices right and get the quantities wrong.

Page 29: Comparative Statics

P

Q

Qs

Q d

P*

Deadweight Loss: Loss in consumer and/or producer surplus resulting from over- or underproduction.

E

Welfare Analysis (2)...although sometimes firms get the prices right and get the quantities wrong.

B’

Y’