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Definable Utility in O-Minimal Structures

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  • Richter, M.K.
  • Wong, K-C.

Abstract

Representing binary ordering relations by numerical functions is a basic problem of the theory of measurement. We obtain definable utility representations for (both continuous and upper semicontinuous) definable preferences in o-minimal expansions of real closed ordered fields. Such preferences have particular significance for modeling 'bounded rationality'. The initial application of these ideas in economics was made by Blume and Zame. Our results extend their Theorem 1 in several directions.

Suggested Citation

  • Richter, M.K. & Wong, K-C., 1996. "Definable Utility in O-Minimal Structures," Papers 296, Minnesota - Center for Economic Research.
    • Handle: RePEc:fth:minner:296
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    References listed on IDEAS

    as
    1. Debreu, Gerard, 1970. "Economies with a Finite Set of Equilibria," Econometrica, Econometric Society, vol. 38(3), pages 387-392, May.
    2. Trout Rader, 1963. "The Existence of a Utility Function to Represent Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(3), pages 229-232.
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    Cited by:

    1. Meroni, Claudia & Pimienta, Carlos, 2017. "The structure of Nash equilibria in Poisson games," Journal of Economic Theory, Elsevier, vol. 169(C), pages 128-144.

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    Keywords

    CONSUMERS;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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