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

Alexander V. Kolesnikov, Olga Kudryavtseva and Tigran Nagapetyan

Journal of Mathematical Economics, 2013, vol. 49, issue 6, 501-505

Abstract: 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.

Keywords: Afriat’s theorem; Revealed preferences; Utility functions; Monge–Kantorovich problem; Optimal transportation; Cyclical monotonicity (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:49:y:2013:i:6:p:501-505

DOI: 10.1016/j.jmateco.2013.06.004

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