Consider the following indirect utility function: ʋ(P,y) = y(P1r  + P2r)-1/r Where r = ρ/(ρ-1, Pi  are parametric prices, and y is the consumer’s budget a) Solve for the Marshallian demand functions xi (P, y) and verify that these functions are homogenous of degree zero (Hint: you can also use Roy’s Identity).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.5P
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Consider the following indirect utility function:

ʋ(P,y) = y(P1+ P2r)-1/r

Where
r = ρ/(ρ-1, Pare parametric prices, and y is the consumer’s budget


a) Solve for the Marshallian demand functions xi (P, y) and verify that these functions are homogenous of degree zero (Hint: you can also use Roy’s Identity).


b) Derive the Hicksian demand functions xih (P,u)

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