Consider a two-person exchange economy in which person 1 owns 200 units of x and 100 units of y while person 2 owns 100 units of x and 200 units y. Suppose their preferences over the two goods can be represented as: U1 (x, y) = y + 50Inx U2 (x, y) = y + 150lnx 1. How much of x do they trade among each other?  2. Does the First Welfare Theorem (FWT) hold in this economy? 3. Can some individuals be made better off if we are at the Pareto efficient allocation?

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter1: What Economics Is About
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Consider a two-person exchange economy in which person 1 owns 200 units of x and 100 units of y while person 2 owns 100 units of x and 200 units y. Suppose their preferences over the two goods can be represented as:

U1 (x, y) = y + 50Inx

U2 (x, y) = y + 150lnx

1. How much of x do they trade among each other? 


2. Does the First Welfare Theorem (FWT) hold in this economy?

3. Can some individuals be made better off if we are at the Pareto efficient allocation?

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