A small exchange economy is comprised of two of individuals, A and B, and two types of goods, x, ,x,. The individuals' preferences over two goods are can be represented by the following utility functions: U“(x, , x,) = min (2x, ,x, ) and U* (x, ,x, ) = min (x,,2.x,). Initial endowments are 10 x, (individual A), and 10 x, (individual B). Calculate the price ratio which yields an equilibrium in the exchange market.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.6P
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A small exchange economy is comprised of two of individuals, A and B, and two types of goods, x,,x,. The
individuals' preferences over two goods are can be represented by the following utility functions:
U“(x,,x,) = min (2x,,x, ) and U* (x, ,x,) = min (x,,2.xr,). Initial endowments are 10 x, (individual
A), and 10 x, (individual B). Calculate the price ratio which yields an equilibrium in the exchange market.
Transcribed Image Text:A small exchange economy is comprised of two of individuals, A and B, and two types of goods, x,,x,. The individuals' preferences over two goods are can be represented by the following utility functions: U“(x,,x,) = min (2x,,x, ) and U* (x, ,x,) = min (x,,2.xr,). Initial endowments are 10 x, (individual A), and 10 x, (individual B). Calculate the price ratio which yields an equilibrium in the exchange market.
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