Remarks concerning concave utility functions on finite sets

Yakar Kannai

doi:10.1007/s00199-004-0545-x

Remarks concerning concave utility functions on finite sets

Yakar Kannai

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A direct construction of concave utility functions representing convex preferences on finite sets is presented. An alternative construction in which at first directions of supergradients ("prices") are found, and then utility levels and lengths of those supergradients are computed, is exhibited as well. The concept of a least concave utility function is problematic in this context.

Original language	English
Pages (from-to)	333-344
Number of pages	12
Journal	Economic Theory
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/s00199-004-0545-x
State	Published - Aug 2005
Externally published	Yes

Keywords

Afriat-Varian algorithm
Concave utility
Finite sets
Least concavity
Supergradients

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10.1007/s00199-004-0545-x

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Remarks concerning concave utility functions on finite sets

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Keywords

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