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The random utility model with an infinite choice space

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  • Stephen A. Clark

    (Department of Statistics, University of Kentucky, Lexington, KY 40506, USA)

Abstract

This essay presents a measure-theoretic version of the random utility model with no substantive restrictions upon the choice space. The analysis is based upon DeFinetti' Coherency Axiom, which characterizes a set function as a finitely additive probability measure. The central result is the equivalence of the random utility maximization hypothesis and the coherency of the choice probabilities over all allowable constraint sets.

Suggested Citation

  • Stephen A. Clark, 1995. "The random utility model with an infinite choice space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 179-189.
  • Handle: RePEc:spr:joecth:v:7:y:1995:i:1:p:179-189 Note: Received: July 7, 1992; revised version January 17, 1994
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    References listed on IDEAS

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    1. Becker, Robert A & Boyd, John H, III, 1992. "Recursive Utility and Optimal Capital Accumulation II: Sensitivity and Duality Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(4), pages 547-563, October.
    2. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
    3. Streufert, P.A., 1991. "Abstract Recursive Utility," Working papers 9103, Wisconsin Madison - Social Systems.
    4. Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, September.
    5. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
    6. Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
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    Cited by:

    1. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.

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