9. Consider an Edgeworth box economy with two consumers, whose utility fune- tions and endowments are u'cx.) = (x}Xx}»! =(5,5) In the following, use the normalization p2 =1. (a) Find the competitive equilibrium price. (b) State the first fundamental theorem of welfare and verify that it holds in this economy. (c) Consider the allocation = (2',)= (2,3), (8,7). Show whether this allo- cation can supported as an equilibrium with transfers.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
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9. Consider an Edgeworth box economy with two consumers, whose utility func-
tions and endowments are
u'(x},x}) = (x}Xx})}
(5,5)
In the following, use the normalization p2 = 1.
(a) Find the competitive equilibrium price.
(b) State the first fundamental theorem of welfare and verify that it holds in
this economy.
(e) Consider the allocation ĩ = (x',) = (2,3), (8, 7). Show whether this allo-
cation can supported as an equilibrium with transfers.
(d) State the second fundamental theorem of welfare, and briefly discuss whether
the result in part (c) conform with or violate this theorem.
3.
Transcribed Image Text:9. Consider an Edgeworth box economy with two consumers, whose utility func- tions and endowments are u'(x},x}) = (x}Xx})} (5,5) In the following, use the normalization p2 = 1. (a) Find the competitive equilibrium price. (b) State the first fundamental theorem of welfare and verify that it holds in this economy. (e) Consider the allocation ĩ = (x',) = (2,3), (8, 7). Show whether this allo- cation can supported as an equilibrium with transfers. (d) State the second fundamental theorem of welfare, and briefly discuss whether the result in part (c) conform with or violate this theorem. 3.
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