4) Consider a two agent and two good exchange economy where agent 1 has preferences represented by U, (x11, X21) = x11X21. Agent 2 has preferences represented by utility function U2(x12, X22) = x12X22. The initial endowments are w = (1,3) and w2 = (3,1). Show directly that every interior Pareto optimal allocation in this economy is a price equilibrium with transfers by finding the associated prices and transfers.
4) Consider a two agent and two good exchange economy where agent 1 has preferences represented by U, (x11, X21) = x11X21. Agent 2 has preferences represented by utility function U2(x12, X22) = x12X22. The initial endowments are w = (1,3) and w2 = (3,1). Show directly that every interior Pareto optimal allocation in this economy is a price equilibrium with transfers by finding the associated prices and transfers.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![4)
preferences represented by U, (x11, x21) = x11X21. Agent 2 has preferences represented by utility
function U2(x12, xX22) = X12X22. The initial endowments are wi = (1,3) and w2 = (3,1). Show
directly that every interior Pareto optimal allocation in this economy is a price equilibrium with
transfers by finding the associated prices and transfers.
Consider a two agent and two good exchange economy where agent 1 has](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc61a36b-de13-4f4f-b18a-7fb4960cbf24%2Fb86f1513-4496-4a59-b59f-8cb153967fd2%2Fkjxa6hi_processed.png&w=3840&q=75)
Transcribed Image Text:4)
preferences represented by U, (x11, x21) = x11X21. Agent 2 has preferences represented by utility
function U2(x12, xX22) = X12X22. The initial endowments are wi = (1,3) and w2 = (3,1). Show
directly that every interior Pareto optimal allocation in this economy is a price equilibrium with
transfers by finding the associated prices and transfers.
Consider a two agent and two good exchange economy where agent 1 has
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