Consider a pure exchange economy with two goods, 1 and 2, and two consumers, A and B, who have utilities and u^(x₁, x₂) = min{₁, ₂} u³(x₁, x₂) = x³x₂. Recall that the Marshallian demands corresponding to these utility functions are, respectively, and x^(p, w) = | rB (p, w) = w W P₁+P2¹ P1 + P2, 3w W 4p₁ 4p2 Consumer A has endowment wA = (4,0) and B has endowment B = (0,2). (a) Find all Walrasian equilibria. (b) Find all Pareto efficient allocations. (c) Does the conclusion of the Second Welfare Theorem hold for this economy? Explain.
Consider a pure exchange economy with two goods, 1 and 2, and two consumers, A and B, who have utilities and u^(x₁, x₂) = min{₁, ₂} u³(x₁, x₂) = x³x₂. Recall that the Marshallian demands corresponding to these utility functions are, respectively, and x^(p, w) = | rB (p, w) = w W P₁+P2¹ P1 + P2, 3w W 4p₁ 4p2 Consumer A has endowment wA = (4,0) and B has endowment B = (0,2). (a) Find all Walrasian equilibria. (b) Find all Pareto efficient allocations. (c) Does the conclusion of the Second Welfare Theorem hold for this economy? Explain.
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter6: Consumer Choice And Demand
Section: Chapter Questions
Problem 6QFR
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