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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
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    Abstract

    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000395
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 47 (2011)
    Issue (Month): 2 (March)
    Pages: 251-252

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    Handle: RePEc:eee:mateco:v:47:y:2011:i:2:p:251-252

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    Web page: http://www.elsevier.com/locate/jmateco

    Related research

    Keywords: Least concave utility Quasi-linear preference;

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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. 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.
    3. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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