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Article

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

Journal of Mathematical Economics. 2013. Vol. 49. P. 501-505.
Kudryavtseva O., Nagapetyan T., Kolesnikov A.

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.