Remarks on Afriat’s theorem and the Monge–Kantorovich problem

The famous Afriat’s theorem from the theory of revealed preferences establishes necessary and sufficient conditions for the existence of utility function for a given set of choices and prices. The result on the existence of a homogeneous utility function can be considered as a particular fact of the Monge–Kantorovich mass transportation theory. In this paper we explain this viewpoint and discuss some related questions.

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Year of publication:	2013
Authors:	Kolesnikov, Alexander V. ; Kudryavtseva, Olga V. ; Nagapetyan, Tigran
Published in:	Journal of Mathematical Economics. - Elsevier, ISSN 0304-4068. - Vol. 49.2013, 6, p. 501-505
Publisher:	Elsevier
Subject:	Afriat’s theorem \| Revealed preferences \| Utility functions \| Monge–Kantorovich problem \| Optimal transportation \| Cyclical monotonicity

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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