competitive equilibrium

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.4P
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Consider a Robinson Crusoe Economy. There are two commodities in the economy: one is labor L
and the other is yam y. The producer Crusoe has production technology of y = Lî. The consumer
Crusoe's preference is represented by y(1 – L)¿ where L is the supply of labor. The consumer
Cruose has all the share of the producer Crusoe's profit.
(a) Find efficient allocation (L, y).
(b) Define and calculate a competitive equilibrium of the economy. (Normalize the wage to be
unity, i.e., w = 1).
Transcribed Image Text:Consider a Robinson Crusoe Economy. There are two commodities in the economy: one is labor L and the other is yam y. The producer Crusoe has production technology of y = Lî. The consumer Crusoe's preference is represented by y(1 – L)¿ where L is the supply of labor. The consumer Cruose has all the share of the producer Crusoe's profit. (a) Find efficient allocation (L, y). (b) Define and calculate a competitive equilibrium of the economy. (Normalize the wage to be unity, i.e., w = 1).
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