In a particular country, there are two types of individuals: native (n) and foreigners (f). Each dedicate their 8 hours of labor to producing either luxury (x) and non-luxury goods (y). Native workers' utility function is given by Un = x04y0.6 whereas foreigners' is given by U, = x02y0.8. Both individuals do not care whether they produce x or y. The production function for each good is given by x = y = 5l, where l is the total labor devoted to the production of each good. 4l and Px a) What must be the price ratio, /py, be? Interpret your answer

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.10P
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In a particular country, there are two types of individuals: native (n) and foreigners (f). Each dedicate
their 8 hours of labor to producing either luxury (x) and non-luxury goods (y). Native workers' utility
function is given by Un = x0.4y0.6 whereas foreigners' is given by Uf = x0.2y0.8. Both individuals do
not care whether they produce x or y. The production function for each good is given by x = 4l and
y = 5l, where l is the total labor devoted to the production of each good.
= x0.2 y0.8. Both individuals do
a) What must be the price ratio, P*/p.,, be? Interpret your answer
b) Given this price ratio, how much x and y will foreigners and native workers demand? Interpret
your answei
c) How should labor ve allocated between x and y to satisfy the demand calculated in part (b)?
Interpret your answer
Transcribed Image Text:In a particular country, there are two types of individuals: native (n) and foreigners (f). Each dedicate their 8 hours of labor to producing either luxury (x) and non-luxury goods (y). Native workers' utility function is given by Un = x0.4y0.6 whereas foreigners' is given by Uf = x0.2y0.8. Both individuals do not care whether they produce x or y. The production function for each good is given by x = 4l and y = 5l, where l is the total labor devoted to the production of each good. = x0.2 y0.8. Both individuals do a) What must be the price ratio, P*/p.,, be? Interpret your answer b) Given this price ratio, how much x and y will foreigners and native workers demand? Interpret your answei c) How should labor ve allocated between x and y to satisfy the demand calculated in part (b)? Interpret your answer
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