2. Find a Walrasian equilibrium in the following pure exchange economies: (a) (9ʻ9) = !m 'tr8o + fr 801 = (!x) In 1 u2(x2) =log x+ log x3, w2 = (3,6) %3D (b) u1(x1) = log x +log xỉ, wi = (7,1) uz(x2) = min{x3, x3}, wz= (1,7) (Hint: You can let the price p2 of good 2 be p2 = 1 without loss of generality.)

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter2: Production Possibilities Frontier Framework
Section: Chapter Questions
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6 Please make it explanatory
2. Find a Walrasian equilibrium in the following pure exchange economies:
(a)
u1 (x1)
log x +log x, wi = (6,6)
%3D
u2(x2)
log x+log x3, wz = (3,6)
(b)
u1(x1) = log x + log xỉ, wi = (7,1)
u2(x2) %3D min{x}, x글}, az%3 (1,7)
(Hint: You can let the price p2 of good 2 be p2 = 1 without loss of generality.)
%3D
Transcribed Image Text:2. Find a Walrasian equilibrium in the following pure exchange economies: (a) u1 (x1) log x +log x, wi = (6,6) %3D u2(x2) log x+log x3, wz = (3,6) (b) u1(x1) = log x + log xỉ, wi = (7,1) u2(x2) %3D min{x}, x글}, az%3 (1,7) (Hint: You can let the price p2 of good 2 be p2 = 1 without loss of generality.) %3D
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