ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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Question 3
3.1 Slutsky's equation relates the Marshallian demand function to the Hicksian demand func-
tion, and therefore provides a way in which to decompose the total effect of a price change
on quantity demanded into the substitution and income effects. Provide an expression for
the general Slutsky equation of a good (x;) with respect to changes in the price of x;, and
clearly label the total effect, substitution effect and income effect.
3.2 Now consider the case of a consumer with Cobb-Douglas indirect utility function
v(р, у)
(1-a)
and Hicksian demand function for good 1
* (p, u)
P2 ( Pi
= au
Pi
P2
Demonstrate that the Slutsky equation holds for the own-price effect for good r1-
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Transcribed Image Text:Question 3 3.1 Slutsky's equation relates the Marshallian demand function to the Hicksian demand func- tion, and therefore provides a way in which to decompose the total effect of a price change on quantity demanded into the substitution and income effects. Provide an expression for the general Slutsky equation of a good (x;) with respect to changes in the price of x;, and clearly label the total effect, substitution effect and income effect. 3.2 Now consider the case of a consumer with Cobb-Douglas indirect utility function v(р, у) (1-a) and Hicksian demand function for good 1 * (p, u) P2 ( Pi = au Pi P2 Demonstrate that the Slutsky equation holds for the own-price effect for good r1-
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