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Economics 2: Spring 2014
J. Bradford DeLong <[email protected]>; Maria Constanza Ballesteros <[email protected]>;
Connie Min <[email protected]>
http://delong.typepad.com/sdj/econ-2-spring-2014/
Economics 2: Spring 2014: Supply and Demand Algebra:
Price Ceilingshttp://delong.typepad.com/sdj/econ-1-spring-2014/
February 5, 2014, 4-5:30101 Barker, U.C. Berkeley
Consider a Market in Equilibrium…
Consider a Market in Equilibrium…
• Demand:– P = 100-(5/3)Qd
• Supply:– P = 15Qs
• Equilibrium:– Q = (100-0)/(15+(5/3)– P=(15/(15+(5/3)))100+
((5/3)/(15+(5/3)))0
– P = 90, Q = 6
Consider a Market in Equilibrium…• Demand:– P = 100-(5/3)Qd
• Supply:– P = 15Qs
• Equilibrium:– P = 90, Q = 6
• Surplus:– Demanders pay
6x90=540; average value=95; consumer surplus=95x6-540=30
Consider a Market in Equilibrium…• Demand:– P = 100-(5/3)Qd
• Supply:– P = 15Qs
• Equilibrium:– P = 90, Q = 6
• Surplus:– Consumer surplus =
95x6-540=30– Suppliers earn
6x90=540; averge cost=45; producer surplus=540-45x6=270
Consider a Market in Equilibrium…
• Demand:– P = 100-(5/3)Qd
• Supply:– P = 15Qs
• Equilibrium:– P = 90, Q = 6
• Surplus:– Consumer surplus =
30– Producer surplus =
270
The Government Says: This Isn’t Fair!
• The situation:– Demand: P = 100-(5/3)Qd
– Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6– Surplus: Consumer = 30;
Producer = 270• Why should suppliers
get nine times as much surplus?
• The Westerosi Army needs to buy other things as well! They will have to face the ice zombies!
The Government Imposes a Price Ceiling on What You Can Charge: 60
• The situation:– Demand: P = 100-(5/3)Qd
– Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6– Surplus: Consumer = 30;
Producer = 270• Why should suppliers
get nine times as much surplus?
• The Westerosi Army needs to buy other things as well! They will have to face the ice zombies!
What Happens?
• The situation:– Demand: P = 100-
(5/3)Qd
– Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6
– Surplus: Consumer = 30; Producer = 270
• Why should suppliers get nine times as much surplus?
• The government imposes a price ceiling of 60
Ladies and Gentlemen, to Your i>Clickers!
• The situation: Demand: P = 100-(5/3)Qd Supply: P = 15Qs Equilibrium: P = 90, Q = 6 Surplus: Consumer = 30; Producer = 270
• A PRICE CEILING OF 60• How many dragon-training flights will be flown
with the price ceiling?• A. 6• B. 4• C. 24• D. 14• E. None of the above
Ladies and Gentlemen, to Your i>Clickers!
• The situation: Demand: P = 100-(5/3)Qd Supply: P = 15Qs Equilibrium: P = 90, Q = 6 Surplus: Consumer = 30; Producer = 270
• A PRICE CEILING OF 6• How many dragon-training flights will be
flown with the price ceiling? A. 6. B. 4. C. 24. D. 14. E. None of the above
Ladies and Gentlemen, to Your i>Clickers!
• The situation: Demand: P = 100-(5/3)Qd Supply: P = 15Qs Equilibrium: P = 90, Q = 6 Surplus: Consumer = 30; Producer = 270
• A PRICE CEILING OF 6• How many dragon-training flights will be flown with
the price ceiling? A. 6. [B. 4.] C. 24. D. 14. E. None of the above
• Why 4?• Because only 4 potential riders think it’s worth
showing up at the dragonstrip if you are only going to be paid £60
• But then what is the 24 number?• That’s how many people show up with plans for
training missions…
Is This New Situation a Better Equilibrium?
• The situation:– Demand: P = 100-
(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60
• Equilibrium: P = 60, Q = 4
Let’s Calculate the Surplus…
• The situation:– Demand: P = 100-
(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60• Equilibrium: P = 60,
Q = 4• Producer Surplus:– 4 missions flown– What’s the average
cost?
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs – Price ceiling = 60
• Equilibrium: P = 60, Q = 4
• What’s the average cost to producers of the four dragon-training missions flown?• A. 45• B. 60• C. 30• D. 15• E. None of the above
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:– Demand: P = 100-
(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60• Equilibrium: P = 60,
Q = 4
• What’s the average cost to producers of the four dragon-training missions flown? A. 45. B. 60. C. 30. D. 15. E. None of the above
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60• Equilibrium: P = 60, Q = 4
• What’s the average cost to producers of the four dragon-training missions flown?• A. 45. B. 60. [C. 30.] D. 15. E. None of the
above• Yes: the first mission costs a little more than
0, the last a little less than 60, the average costs 30
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60
• Equilibrium: P = 60, Q = 4
• Average cost: 30
• What’s the producer surplus?• A. 120• B. 180• C. 270• D. 60• E. None of the above…
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:– Demand: P = 100-
(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60• Equilibrium: P = 60, Q
= 4• Average cost: 30
• What’s the producer surplus?• A. 120. B. 180. C. 270. D. 60. E. None of the
above…
Ladies, Gentlemen, and Large Intelligent Fire-Breathing Reptiles, to Your
i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Price ceiling = 60
• Equilibrium: P = 60, Q = 4• Average cost: 30
• What’s the producer surplus?• [A. 120.] B. 180. C. 270. D. 60. E. None of
the above…• Producer surplus = (price – average
cost)x(units)• Producer surpus = (60 – 30) x 4 = 120
Is This New Situation a Better Equilibrium?
• The old situation:– Demand: P = 100-
(5/3)Qd
– Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6
– Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60– New equilibrium: P =
60, Q = 4– Reduce producer
surplus from 270 to 120
Is This New Situation a Better Equilibrium?
• The situation:– Demand: P = 100-(5/3)Qd
Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6– Surplus: Consumer = 30;
Producer = 270• Impose a price ceiling of
60:– New equilibrium: P = 60,
Q = 4. Reduce producer surplus from 270 to 120
• What happens to consumer surplus?
Calculating Consumer Surplus
• The situation:– Demand: P = 100-(5/3)Qd
Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6– Surplus: Consumer = 30;
Producer = 270• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• What happens to consumer surplus?
• Only four of the 24 consumers actually get to fly their planned training mission…
• How do you select the four?
Calculating Consumer Surplus• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6– Surplus: Consumer = 30; Producer =
270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4.
Reduce producer surplus from 270 to 120
• What happens to consumer surplus?
• Only four of the 24 consumers actually get to fly their planned training mission… How do you select the four?
• The government asks everybody to raise their hand if they are those who have the four highest willingnesses-to-pay…
Calculating Consumer Surplus• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4.
Reduce producer surplus from 270 to 120
• What happens to consumer surplus? Only four of the 24 consumers actually get to fly their planned training mission… How do you select the four?– The government asks everybody to
raise their hand if they are those who have the four highest willingnesses-to-pay…
• Yeah, right, that’s really going to work
Some Bureaucratic Process Selects Missions Randomly…
• The situation:– Demand: P = 100-(5/3)Qd Supply: P =
15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4. Reduce
producer surplus from 270 to 120
• What happens to consumer surplus? Only four of the 24 consumers actually get to fly their planned training mission… How do you select the four?– The government asks everybody to
raise their hand if they are those who have the four highest willingnesses-to-pay…
• Yeah, right, that’s really going to work
• What is the average willingness to pay of the four selected missions going to be?
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• What is the average willingness-to-pay of the four selected missions going to be?• A. 95• B. 80• C. 96 2/3• D. 60• E. None of the above
Gentlebeings, to Your i>Clickers…
• The situation:– Demand: P = 100-(5/3)Qd Supply:
P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4.
Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…• What is the average willingness-to-pay of the four selected
missions going to be?• A. 95. B. 80. C. 96 2/3. D. 60. E. None of the above
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• What is the average willingness-to-pay of the four selected missions going to be?• A. 95. [B. 80.] C. 96 2/3. D. 60. E. None of the above
• The mission planner with the highest willingness-to-pay is just shy of 100. The mission planner with the lowest willingness-to-pay is just more than 60. The average is 80.
• Why is it kosher to calculate the average of the whole distribution by just adding up the biggest and the smallest and dividing by 2, anyway?
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• What is the average willingness-to-pay of the four selected missions going to be?
• A. 95. [B. 80.] C. 96 2/3. D. 60. E. None of the above
• The mission planner with the highest willingness-to-pay is just shy of 100. The mission planner with the lowest willingness-to-pay is just more than 60. The average is 80.
• Why is it kosher to calculate the average of the whole distribution by just adding up the biggest and the smallest and dividing by 2, anyway?
• Anybody?
Gentlebeings, to Your i>Clickers…
• The situation:– Demand: P = 100-(5/3)Qd Supply:
P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4.
Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• Average willingness-to-pay: 80
• What is the consumer surplus here?
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• Average willingness-to-pay: 80
• What is the consumer surplus here?• A. 80• B. 30• C. 160• D. 120• E. None of the above…
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60, Q = 4. Reduce
producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• Average willingness-to-pay: 80
• What is the consumer surplus here?• A. 80. B. 30. C. 160. D. 120. E. None of the
above…
Gentlebeings, to Your i>Clickers…• The situation:
– Demand: P = 100-(5/3)Qd Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:
– New equilibrium: P = 60, Q = 4. Reduce producer surplus from 270 to 120
• Only four of the 24 consumers actually get to fly their planned training mission. Some bureaucrat selects the four randomly…
• Average willingness-to-pay: 80
• What is the consumer surplus here?• [A. 80.] B. 30. C. 160. D. 120. E. None of
the above…• Consumer surplus = (avg w-t-p – price) x
quantity• Avg w-t-p = 80 Price = 60 Quantity = 4
• Consumer surplus = 80
Is This New Situation a Better Equilibrium?
• The old situation:– Demand: P = 100-(5/3)Qd
Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60:– New equilibrium: P = 60,
Q = 4.• Reduce producer surplus
from 270 to 120• Increase consumer
surplus from 30 to 80
Is This New Situation a Better Equilibrium?
• The old situation:– Demand: P = 100-(5/3)Qd
Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60: New equilibrium: P = 60, Q = 4.
• Reduce producer surplus from 270 to 120
• Increase consumer surplus from 30 to 80
• Reduced total surplus from 300 to 200
Is This New Situation a Better Equilibrium?
• The old situation:– Demand: P = 100-(5/3)Qd
Supply: P = 15Qs
– Equilibrium: P = 90, Q = 6. Surplus: Consumer = 30; Producer = 270
• Impose a price ceiling of 60: New equilibrium: P = 60, Q = 4.
• Reduce producer surplus from 270 to 120
• Increase consumer surplus from 30 to 80
• Reduced total surplus from 300 to 200
• Huh!? Where did the extra £100 of surplus go!?!?!?
Huh?! Where Did the Extra £100 of Surplus Go!?!?!?
• In the old situation:–We matched 6
suppliers with an average cost of 45 to 6 missions with an average willingness-to-pay of 95
– Generated 6 x 50 = 300 of surplus
Huh?! Where Did the Extra £100 of Surplus Go!?!?!?
• In the old situation:– We matched 6 suppliers with
an average cost of 45 – to 6 missions with an
average willingness-to-pay of 95
– Generated 6 x 50 = 300 of surplus
• With the price ceiling:– We match 4 suppliers with
an average cost of 30– To 4 missions with an
average willingness-to-pay of 80
– Generate 4 x 50 = 200 of surplus
Huh?! Where Did the Extra £100 of Surplus Go!?!?!?
• In the old situation:– We matched 6 suppliers with an average cost
of 45 – to 6 missions with an average willingness-to-
pay of 95– Generated 6 x 50 = 300 of surplus
• With the price ceiling:– We match 4 suppliers with an average cost of
30– To 4 missions with an average willingness-to-
pay of 80– Generate 4 x 50 = 200 of surplus
• We have made 4 matches instead of 6• We haven’t improved the average
quality of the matches– We have degraded the average
willingness-to-pay of demanders– We have improved the cost of
suppliers: if we are only going to fly four missions, these are the four who should be flying those missions
An Anti-Krugman and Wells Rant!
• Here is their analysis of a price ceiling—and their equivalent of the -100 loss in surplus that we have calculated—this yellow triangle.
• How large is this yellow triangle?
An Anti-Krugman and Wells Rant!
• How large is this yellow “surplus loss” Harberger triangle?
• Well, its base is from 60 to 100; its height is from 4 to 6…
• Its area is: 2 x 40 x ½ = 40
• But we found that the surplus loss was 100…
What Is Going on? Why Do We Find a Surplus Loss of 100 When KW Only Find a
Surplus Loss of 20?• Their Harberger
triangle is 40…• But we found that the
surplus loss was 100…• They assume the high
willingness-to-pay demanders get to purchase when there is excess supply…
What Is Going on? Why Do We Find a Surplus Loss of 100 When KW Only Find a
Surplus Loss of 20?• Their Harberger
triangle is 40…• But we found that the
surplus loss was 100…• They assume the high
willingness-to-pay demanders get to purchase when there is excess supply…
• Sometimes that may happen (secondary markets, scalping)…
• Sometimes that may not happen…
What Is Going on? Why Do We Find a Surplus Loss of 100 When KW Only Find a
Surplus Loss of 20?• Their Harberger triangle is
40…• But we found that the
surplus loss was 100…• They assume the high
willingness-to-pay demanders get to purchase when there is excess supply…
• Sometimes that may happen (secondary markets, scalping)…
• Sometimes that may not happen…
• You need to talk about it, not just to assume it…
So I Think KW Get This Really Wrong!
• But I haven’t found anything else in KW that I think is equally really wrong…