Give arguments in favor of against the following statements. a) In case of two goods model, convexity holds if and only if commodities are complements and their marginal utilities are diminishing b) All commodities in the consumption bundle of consumer can neither be inferior nor luxury c) Quasi concavity of utility function is a consequence of convexity axiom on consumer preferences. On the other hand, quasi-convexity of indirect utility function needs no assumption to be imposed on consumer preferences.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.2P
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Give arguments in favor of against the following statements.
a) In case of two goods model, convexity holds if and only if commodities are complements
and their marginal utilities are diminishing
b) All commodities in the consumption bundle of consumer can neither be inferior nor
luxury
c) Quasi concavity of utility function is a consequence of convexity axiom on consumer
preferences. On the other hand, quasi-convexity of indirect utility function needs no
assumption to be imposed on consumer preferences.
Transcribed Image Text:Give arguments in favor of against the following statements. a) In case of two goods model, convexity holds if and only if commodities are complements and their marginal utilities are diminishing b) All commodities in the consumption bundle of consumer can neither be inferior nor luxury c) Quasi concavity of utility function is a consequence of convexity axiom on consumer preferences. On the other hand, quasi-convexity of indirect utility function needs no assumption to be imposed on consumer preferences.
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