1/2 1/2 3 (b) An economy consists of just two people. A and B, and there are just tw commodities x and y. A has the utility function x +y¹2, and B has the utility function 2(x ¹/2 + y2). A is endowed with 36 x and no B with 9 y and no x. i. Find the set of Pareto efficient allocations and illustrate that set in a labeled Edgeworth box diagram. Show your work.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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1/2
3 (b) An economy consists of just two people. A and B, and there are just two
commodities x and y. A has the utility function x + y ¹/2, and B
has the utility function 2(x +y¹2). A is endowed with 36 x and no y,
B with 9 y and no x.
1/2
i. Find the set of Pareto efficient allocations and illustrate that set in a
labeled Edgeworth box diagram. Show your work.
ii.
Find the Walrasian equilibrium/equilibria. Show your work.
Transcribed Image Text:1/2 3 (b) An economy consists of just two people. A and B, and there are just two commodities x and y. A has the utility function x + y ¹/2, and B has the utility function 2(x +y¹2). A is endowed with 36 x and no y, B with 9 y and no x. 1/2 i. Find the set of Pareto efficient allocations and illustrate that set in a labeled Edgeworth box diagram. Show your work. ii. Find the Walrasian equilibrium/equilibria. Show your work.
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