Exam 16: General Equilibrium

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If the two goods in an Edgeworth Box are perfect complements for one person -- and if the other person has the typical tastes that satisfy our usual assumptions (without being extreme in any way), any efficient allocation will be such that the first person has equal amounts of good 1 and good 2.

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Comment on the following: "The problem with models like the Edgeworth Box and the Robinson Crusoe economy is that it is silly to assume competitive behavior when there are so few individuals in the market."

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The First Welfare Theorem holds that the allocation of goods resulting from competitive prices is "efficient," which is the equivalent of "equitable."

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Suppose we live in an exchange economy with two goods.I own 50 of both goods, and you own 250 of both goods.My tastes are captured by the utility function Suppose we live in an exchange economy with two goods.I own 50 of both goods, and you own 250 of both goods.My tastes are captured by the utility function   and yours are captured by the utility function   .  a.Calculate the competitive equilibrium price. b.How much do each of us consume of good 1 in equilibrium? c.Suppose the government transfers 100 units of your good 1 endowment to me.How is your answer to (a) and (b) affected? d.Suppose the government instead transfers 100 units of good 2 from you to me.How is your answer to (a) and (b) affected? e.Do you think your answers to (c) and (d) generally hold for most types of tastes -- or do you think they arise because of some specific feature of these tastes? and yours are captured by the utility function Suppose we live in an exchange economy with two goods.I own 50 of both goods, and you own 250 of both goods.My tastes are captured by the utility function   and yours are captured by the utility function   .  a.Calculate the competitive equilibrium price. b.How much do each of us consume of good 1 in equilibrium? c.Suppose the government transfers 100 units of your good 1 endowment to me.How is your answer to (a) and (b) affected? d.Suppose the government instead transfers 100 units of good 2 from you to me.How is your answer to (a) and (b) affected? e.Do you think your answers to (c) and (d) generally hold for most types of tastes -- or do you think they arise because of some specific feature of these tastes? . a.Calculate the competitive equilibrium price. b.How much do each of us consume of good 1 in equilibrium? c.Suppose the government transfers 100 units of your good 1 endowment to me.How is your answer to (a) and (b) affected? d.Suppose the government instead transfers 100 units of good 2 from you to me.How is your answer to (a) and (b) affected? e.Do you think your answers to (c) and (d) generally hold for most types of tastes -- or do you think they arise because of some specific feature of these tastes?

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Which of the following is true within exchange economies:

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