worth box and the endowment point. act curve yA = f(xA), and plot it on the graph. optimal allocation and price ratio for the corresp uilibrium. ptimal allocation a fair allocation? Why? 0.5 1/R= 0.5 0.5 MA = (30.20). B = (10.20).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.5P
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Please help with #2 parts B-D

Consider the following pure exchange economy with different consumer pref-
erences and endowments (e.g., @A = (@,w)), and answer the following ques-
tion:
(a) Draw the Edgeworth box and the endowment point.
(b) Find the contract curve y = f(xA), and plot it on the graph.
(c) Find the Pareto optimal allocation and price ratio for the corresponding
competitive equilibrium.
(d) Is the Pareto optimal allocation a fair allocation? Why?
Question 1
0.5 0.5
UA=x0.5 0.5, UB=x5y5, w = (30,20), B = (10,20).
XB ув
Question 2
0.2 0.8
UA=XA YA, UB XB YB
Question 3
0.4 0.6
= x4y6, w = (60,25), B = (40,25).
2/3
UA=XAYA' =xy, w^= (1,2).
wª = (1,2), w³ = (2,1).
Transcribed Image Text:Consider the following pure exchange economy with different consumer pref- erences and endowments (e.g., @A = (@,w)), and answer the following ques- tion: (a) Draw the Edgeworth box and the endowment point. (b) Find the contract curve y = f(xA), and plot it on the graph. (c) Find the Pareto optimal allocation and price ratio for the corresponding competitive equilibrium. (d) Is the Pareto optimal allocation a fair allocation? Why? Question 1 0.5 0.5 UA=x0.5 0.5, UB=x5y5, w = (30,20), B = (10,20). XB ув Question 2 0.2 0.8 UA=XA YA, UB XB YB Question 3 0.4 0.6 = x4y6, w = (60,25), B = (40,25). 2/3 UA=XAYA' =xy, w^= (1,2). wª = (1,2), w³ = (2,1).
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