Consider an exchange economy with two goods, 200 agents of type A, and 100 agents of type B. The preferences of agents of type A can be represented by the utility function u4(x1, 22) = VI1, those of type B by uB (x1, x2) = 2x2. Initial endowments are given by wA = (10, 20) and wB = (20, 10). Mark the correct answers: (Hint: A sketch of the Edgeworth box may be helpful) Select one or more: a. The equilibrium allocation is Pareto efficient. b. In the Walrasian equilibrium, each consumer of type A consumes 10 units of good 1. C. The initial endowment allocation is an equilibrium allocation.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.5P
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Consider an exchange economy with two goods, 200 agents of type A, and 100 agents of type B. The preferences of agents of type A can be represented
by the utility function u4(x1, 22) = V1, those of type B by uB (x1, x2) = 2x2. Initial endowments are given by wA = (10, 20) and wB = (20, 10).
Mark the correct answers: (Hint: A sketch of the Edgeworth box may be helpful.)
Select one or more:
a.
The equilibrium allocation is Pareto efficient.
b.
In the Walrasian equilibrium, each consumer of type A consumes 10 units of good 1.
C.
The initial endowment allocation is an equilibrium allocation.
d.
There is no Walrasian equilibrium.
e.
p* = (2, 1) is a Walrasian equiliprium price.
f.
In the Walrasian equilibrium, each consumer of type A consumes 20 units of good 1.
Transcribed Image Text:Consider an exchange economy with two goods, 200 agents of type A, and 100 agents of type B. The preferences of agents of type A can be represented by the utility function u4(x1, 22) = V1, those of type B by uB (x1, x2) = 2x2. Initial endowments are given by wA = (10, 20) and wB = (20, 10). Mark the correct answers: (Hint: A sketch of the Edgeworth box may be helpful.) Select one or more: a. The equilibrium allocation is Pareto efficient. b. In the Walrasian equilibrium, each consumer of type A consumes 10 units of good 1. C. The initial endowment allocation is an equilibrium allocation. d. There is no Walrasian equilibrium. e. p* = (2, 1) is a Walrasian equiliprium price. f. In the Walrasian equilibrium, each consumer of type A consumes 20 units of good 1.
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