A has utility function u4(x4) = xf + x and initial endowment w4 B has utility function u3 (xB) = xf •x% and initial endowment wB = (3,6). = (3,6). Consumer (a) Is the initial endowment a Pareto efficient allocation? Justify your answer. (b) Find a competitive equilibrium (p, x4, x³) for the economy. (c) Construct the contract curve. A picture here is not a complete answer; you need to specify analytically the set of points that are in the contract curve.
A has utility function u4(x4) = xf + x and initial endowment w4 B has utility function u3 (xB) = xf •x% and initial endowment wB = (3,6). = (3,6). Consumer (a) Is the initial endowment a Pareto efficient allocation? Justify your answer. (b) Find a competitive equilibrium (p, x4, x³) for the economy. (c) Construct the contract curve. A picture here is not a complete answer; you need to specify analytically the set of points that are in the contract curve.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![(5)
A has utility function u4(x4) = x4 + x and initial endowment w4 = (3,6). Consumer
B has utility function uB (xB) = xf · x% and initial endowment wB = (3,6).
Consider an exchange economy with two consumers and two goods. Consumer
(a) Is the initial endowment a Pareto efficient allocation? Justify your answer.
(b) Find a competitive equilibrium (p, xª, x³) for the economy.
(c) Construct the contract curve. A picture here is not a complete answer; you need to
specify analytically the set of points that are in the contract curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8acc7dc3-2265-4174-a01d-a23e0b8a230a%2Fd8810ead-0a48-497b-afa6-5f74fef6a72b%2F7wg6u9_processed.png&w=3840&q=75)
Transcribed Image Text:(5)
A has utility function u4(x4) = x4 + x and initial endowment w4 = (3,6). Consumer
B has utility function uB (xB) = xf · x% and initial endowment wB = (3,6).
Consider an exchange economy with two consumers and two goods. Consumer
(a) Is the initial endowment a Pareto efficient allocation? Justify your answer.
(b) Find a competitive equilibrium (p, xª, x³) for the economy.
(c) Construct the contract curve. A picture here is not a complete answer; you need to
specify analytically the set of points that are in the contract curve.
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