A consumer has Hicksian demand functions h(p1 p2, u)=a()*"ū and h(p1 P2, u)=(1 a)()"ū. Determine this consumer's expenditure function, e(p1.P2, ū). Next, invert it obtain the indirect utility function, v(p1, p2, m). Finally, use Roy's Identity to obtain the Marshallian demand function, r(P1, P2, m), and apply Slutsky's Equation to obtain P2 P2 ah Opi

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.14P
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A consumer has Hicksian demand functions h(p1 p2, ü)=a()*"ū and h(p1 P2, u)=(1
a)()"ū. Determine this consumer's expenditure function, e(p1.P2, ū). Next, invert it obtain
the indirect utility function, v(p1, p2, m). Finally, use Roy's Identity to obtain the Marshallian
demand function, r(p1, P2, m), and apply Slutsky's Equation to obtain
P2
P2
ahi
Transcribed Image Text:A consumer has Hicksian demand functions h(p1 p2, ü)=a()*"ū and h(p1 P2, u)=(1 a)()"ū. Determine this consumer's expenditure function, e(p1.P2, ū). Next, invert it obtain the indirect utility function, v(p1, p2, m). Finally, use Roy's Identity to obtain the Marshallian demand function, r(p1, P2, m), and apply Slutsky's Equation to obtain P2 P2 ahi
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