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 xi, and clearly label the total effect, substitution effect and income effect.
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 xi, and clearly label the total effect, substitution effect and income effect.
Chapter1: Making Economics Decisions
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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-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87b53351-2067-4a4d-a81c-a5cf0ffaa5a8%2Fff77d95b-7a9b-4eae-8189-d431e917c275%2Fs0jl8d_processed.jpeg&w=3840&q=75)
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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