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General Equilibrium Analysis
Partial equilibrium analysis assumes that activity in one market is independent of other markets. General equilibrium analysis determines the prices and quantity in all markets simultaneously and takes the feedback effect into account. A feedback effect is a price or quantity adjustment in one market caused by price and quantity adjustments in related markets. Chapter 16 4
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Two Interdependent Markets (Movie Tickets and Videocassette Rentals) Moving to General Equilibrium
$6.35 Q’M S*M Assume the government imposes a $1 tax on each movie ticket. Q’V D’V $3.50 General Equilibrium Analysis: Increase in movie ticket prices increases demand for videos. Price Price SM SV DV DM $6.00 QM QV $3.00 Number of Movie Tickets Number of Videos 19
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The increase in the price of videos increases the
Two Interdependent Markets (Movie Tickets and Videocassette Rentals) Moving to General Equilibrium D’M Q”M $6.75 The increase in the price of videos increases the demand for movies. The Feedback effects continue. $3.58 Q*V D*V Price Price D*M $6.82 Q*M SM SV S*M DV DM $3.50 $6.35 $6.00 QM QV $3.00 D’V Without considering the feedback effect with general equilibrium, the impact of the tax would have been underestimated. What are the policy implications of using a partial equilibrium analysis compared to a general equilibrium in this scenario? Q’M Number of Movie Tickets Q’V Number of Videos 19
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Efficiency in Exchange
Exchange increases efficiency until no one can be made better off without making someone else worse off (Pareto efficiency). The Advantages of Trade Trade between two parties is mutually beneficial. Chapter 16 25
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Efficiency in Exchange
Assumptions Two consumers (countries) Two goods Both people know each others preferences Exchanging goods involves zero transaction costs James & Karen have a total of 10 units of food and 6 units of clothing. Chapter 16 26
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The Advantage of Trade James 7F, 1C -1F, +1C 6F, 2C
Individual Initial Allocation Trade Final Allocation James 7F, 1C -1F, +1C 6F, 2C Karen 3F, 5C +1F, -1C 4F, 4C Karen’s MRS of food for clothing is 3. James’s MRS of food for clothing is 1/2. Karen and James are willing to trade: Karen trades 1C for 1F. When the MRS is not equal, there is gain from trade. The economically efficient allocation occurs when the MRS is equal. Chapter 16 28
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Exchange in an Edgeworth Box
James’s Clothing Karen’s Karen’s Food James’s Food 10F 4F 3F 7F 6F 0K 6C A B The initial allocation before trade is A: James has 7F and 1C & Karen has 3F and 5C. +1C -1F The allocation after trade is B: James has 6F and 2C & Karen has 4F and 4C. 2C 1C 5C 4C Efficient Allocations: If James’s and Karen’s MRS are the same at B the allocation is efficient. This depends on the shape of their indifference curves. 6C 0J 10F 34
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Efficiency in Exchange
Karen’s Clothing Karen’s Food UK1 UK2 UK3 0K 6C Is B efficient? Hint: is the MRS equal at B? James’s Clothing James’s Food UJ1 UJ2 UJ3 B C D A A: UJ1 = UK1, but the MRS is not equal. All combinations in the shaded area are preferred to A. Gains from trade Is C efficient? and D? 6C 0J 10F Chapter 16 39
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Efficiency in Exchange
Any move outside the shaded area will make one person worse off (closer to their origin). B is a mutually beneficial trade -higher indifference curve for each person. Trade may be beneficial but not efficient. MRS is equal when indifference curves are tangent and the allocation is efficient. The Contract Curve: to find all possible efficient allocations of food and clothing between Karen and James, we look for all points of tangency between each of their indifference curves. A Karen’s Clothing Karen’s Food UK1 UK2 UK3 James’s James’s Food UJ1 UJ2 UJ3 B C D 10F 0K 0J 6C Chapter 16 39
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The Contract Curve 0K G F E 0J Contract Curve E, F, & G are
Pareto efficient . If a change improves efficiency, everyone benefits. Karen’s Food 0K James’s Clothing Karen’s Clothing 0J James’s Food Chapter 16 47
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Efficiency in Exchange
Application: The policy implication of Pareto efficiency when removing import quotas: 1) Remove quotas Consumers gain Some workers lose 2) Subsidies to the workers that cost less than the gain to consumers Chapter 16 50
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Efficiency in Exchange
Equilibrium in a Competitive Market Competitive markets have many actual or potential buyers and sellers, so if people do not like the terms of an exchange, they can look for another seller who offers better terms. There are many Jameses and Karens. They are price takers Price of food and clothing = 1 (relative prices will determine trade) Chapter 16 51
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Competitive Equilibrium
Karen’s Food 10F 0K 6C P Price Line P’ PP’ is the price line and shows possible combinations; slope is -1 C A Begin at A: Each James buys 2C and sells 2F Each James would move from Uj1 to Uj2, which is preferred (A to C). Each Karen buys 2F and sells 2C. Each Karen would move from UK1 to UK2, which At the prices chosen: Qd food (K) = Qs food (J) – competitive equilibrium. UJ1 UJ2 UK1 UK2 James’s Clothing Karen’s Clothing At the prices chosen: Qd clothing (James) = Qs clothing (Karen) – competitive equilibrium. 6C 0J 10F James’s Food 60
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Competitive Equilibrium
Karen’s Food 10F 0K 6C Price Line P The MRSCF is equal to the ratio of the prices, or MRSJFC = PC/PF = MRSKFC. James’s Clothing Karen’s Clothing C Point C shows that the allocation in a competitive equilibrium is economically efficient. If the ICs were not tangent, trade would occur. The competitive equilibrium Is achieved w/o intervention. UJ2 A UJ1 P’ UK2 UK1 6C 0J 10F James’s Food Chapter 16 64
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Equity and Efficiency In a competitive market, all mutually beneficial trades take place and the resulting equilibrium allocation of resources will be economically efficient (the first theorem of welfare economics) Is an efficient allocation also an equitable allocation? Economists and others disagree about how to define and quantify equity. Chapter 16 69
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Utility Possibilities Frontier
*Any point inside the frontier (H) is inefficient. *Combinations beyond the frontier (L) are not obtainable. Karen’s Utility Lets compare H to E&F. E&F are efficient: E&F make one person better off without making the other worse off. OJ OK E F G H *Movement from one combination to another (E to F) reduces one person’s utility. *All points on the frontier are efficient. The Utility Possibilities Frontier indicates the level of satisfaction that each of two people achieve when they have traded to an efficient outcome on the contract curve. James’s Utility Chapter 16 74
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Equity and Efficiency Is H equitable?
Assume the only choices are H & G Is G more equitable? It depends on one’s perspective. At G James’ total utility > Karen’s total utility H may be more equitable because the distribution is more equal, therefore, an inefficient allocation may be more equitable. James’s Utility Karen’s Utility OJ OK E F H G Chapter 16 77
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Equity and Efficiency Equity & Perfect Comp.: A competitive equilibrium leads to a Pareto efficient outcome that may or may not be equitable. Points on the frontier are Pareto efficient. OJ & OK are perfect unequal distributions and Pareto efficient. To achieve equity (more equal distribution) must the allocation be efficient? James’s Utility Karen’s Utility OJ OK Chapter 16 83
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Efficiency in Production
Assume Fixed total supplies of two inputs; labor and capital Produce two products; food and clothing Many people own and sell inputs for income Income is distributed between food and clothing Chapter 16 85
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Efficiency in Production
Production in the Edgeworth Box Each axis measures the quantity of an input Horizontal: Labor, 50 hours Vertical: Capital, 30 hours Origins measure output OF = Food OC = Clothing Chapter 16 88
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Efficiency in Production
A is inefficient Shaded area is preferred to A B and C are efficient The production contract curve shows all combinations that are efficient Labor in clothing production 50L 40L 30L 20L 10L 0C 30K B C D A 10C 80F 30C 25C 20K 10K 60F 50F Capital in clothing production Capital in food production Each point measures inputs to the production A: 35L and 5K--Food B: 15L and 25K--Clothing Each isoquant shows input combinations for a given output Food: 50, 60, & 80 Clothing: 10, 25, & 30 10K 20K 30K 0F 10L 20L 30L 40L 50L Labor in Food Production 94
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Efficiency in Production
Competitive Market Observations The wage rate (w) and the price of capital (r) will be the same for all industries. Minimize production cost MPL/MPK = w/r w/r = MRTSLK MRTS = slope of the isoquant Competitive equilibrium is on the production contract curve. Competitive equilibrium is efficient. Chapter 16 99
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triangle is also inefficient
Efficiency in Production: Production Possibilities Frontier (derived from the contract curve) Clothing (units) OF & OC are extremes. Why is the production possibilities frontier downward sloping? Why is it concave? 60 100 OF OC B C D B, C, & D are other possible combinations. A A is inefficient. ABC triangle is also inefficient due to labor market distortions. Food (Units) Chapter 16 105
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Output Efficiency Clothing (units) 60 C 100 How do you find the
MRS = MRT combination with many consumers who have different indifference curves? MRS = MRT C 60 100 Production Possibilities Frontier Indifference Curve Goods must be produced at minimum cost and in combinations that match people’s WTP. The efficient output and Pareto efficient allocation occurs where MRS = MRT Food (Units) Chapter 16 114
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Efficiency in Production
Efficiency in Output Markets Consumer’s Budget Allocation Profit Maximizing Firm Chapter 16 115
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Overview: The Efficiency of Competitive Markets
Conditions Required for Economic Efficiency Efficiency in Exchange (for a competitive market) Chapter 16 142
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Overview: The Efficiency of Competitive Markets
Conditions Required for Economic Efficiency Efficiency in the Use of Inputs in Production (for a competitive market) Chapter 16 144
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Overview: The Efficiency of Competitive Markets
Conditions Required for Economic Efficiency Efficiency in the Output Market (in a competitive market) Chapter 16 146
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Overview: The Efficiency of Competitive Markets
Conditions Required for Economic Efficiency However, consumers maximize their satisfaction in competitive markets only if Chapter 16 147
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