Remarks on the Afriat's theorem and the Monge-Kantorovich problem

Alexander V. Kolesnikov; Olga V. Kudryavtseva; Tigran Nagapetyan

doi:10.1016/j.jmateco.2013.06.004

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arXiv · 1302.4695

Remarks on the Afriat's theorem and the Monge-Kantorovich problem

Alexander V. Kolesnikov·Olga V. Kudryavtseva·Tigran Nagapetyan

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Abstract

The famous Afriat's theorem from the theory of revealed preferences establishes necessary and suffient conditions for existence of utility function for a given set of choices and prices. The result on existence of a {\it 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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Alexander V. Kolesnikov, Olga V. Kudryavtseva, Tigran Nagapetyan. 2013-06-26. Remarks on the Afriat's theorem and the Monge-Kantorovich problem. https://doi.org/10.1016/j.jmateco.2013.06.004

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