Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X + Y UB(X,Y) = Min(X,Y) The initial endowments are: A: X = 1; Y = 3 B: X = 5; Y = 3 Illustrate the initial endowments in and Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are %3D correct. Also, draw each consumer's indifference curve that runs through the initial endowments. Is this initial endowment Pareto Efficient?

Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = X + Y UB(X,Y) = Min(X,Y) The initial endowments are: A: X = 1; Y = 3 B: X = 5; Y = 3 Illustrate the initial endowments in and Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are %3D correct. Also, draw each consumer's indifference curve that runs through the initial endowments. Is this initial endowment Pareto Efficient?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter13: General Equilibrium And Welfare

Section: Chapter Questions

Problem 13.5P

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Student question Time Left :00:09:43Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = 2X + Y UB(X,Y) = Min(X,Y) The initial endowments are: A: X = 5; Y = 3 B: X = 2; Y = 2 a. Illustrate the initial endowments in an Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are correct. Also, draw each consumer’s indifference curve that runs through the initial endowments. Is this initial endowment Pareto Efficient? b. Now suppose Consumer A gets all of both goods. Is this allocation Pareto Efficient? (You do not need to draw a new graph or illustrate this on the existing graph. Simply answer “yes” or “no.”) c. Now suppose Consumer B gets all of both goods. Is this allocation Pareto Efficient? (You do not need to draw a new graph or illustrate this on the existing graph. Simply answer “yes” or “no.”)
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