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An existence result and a characterization of the least concave utility of quasi-linear preferences

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  • Hosoya, Yuhki

Abstract

This note shows that there exists a least concave utility function of a convex quasi-linear preference relation and that a utility function of a convex quasi-linear preference relation is least concave iff it is of the form u(x)Â +Â cy.

Suggested Citation

  • Hosoya, Yuhki, 2011. "An existence result and a characterization of the least concave utility of quasi-linear preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 251-252, March.
    • Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:251-252
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    References listed on IDEAS

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    1. Debreu, Gerard, 1976. "Least concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 121-129, July.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. Kannai, Yakar, 1980. "The ALEP definition of complementarity and least concave utility functions," Journal of Economic Theory, Elsevier, vol. 22(1), pages 115-117, February.
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