True-False Questions 1. If e*(p,U) be the value function for the expenditure minimization problem, and v* (p,M) be the value function for the utility maximization problem. Then by duality, v* (p,e*(p,U))=M."

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.9P
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True-False Questions
1. If e*(p,U) be the value function for the
expenditure minimization problem, and v*
(p,M) be the value function for the utility
maximization problem. Then by duality, v*
(p,e*(p,U))=M.
2. Let x* is the ordinary (Marshallian) demand
function for the vector of consumption goods,
and preferences are strictly monotonic, then
x* is the demand function that solves the
expenditure minimization problem at fixed
utility level U= value function e*(p,U).
3. In the Slutsky equation, the Substitution
effect with respect to an "own-price" change
is always negative.
4. If preferences are strictly convex and strictly
monotonic, then necessarily ordinary demand
choices are unique.
5. If preferences are convex, then ordinary
demand function cannot be unique at any
price-income pairs.
Transcribed Image Text:True-False Questions 1. If e*(p,U) be the value function for the expenditure minimization problem, and v* (p,M) be the value function for the utility maximization problem. Then by duality, v* (p,e*(p,U))=M. 2. Let x* is the ordinary (Marshallian) demand function for the vector of consumption goods, and preferences are strictly monotonic, then x* is the demand function that solves the expenditure minimization problem at fixed utility level U= value function e*(p,U). 3. In the Slutsky equation, the Substitution effect with respect to an "own-price" change is always negative. 4. If preferences are strictly convex and strictly monotonic, then necessarily ordinary demand choices are unique. 5. If preferences are convex, then ordinary demand function cannot be unique at any price-income pairs.
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