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A Single-Stage Approach to Anscombe and Aumann's Expected Utility

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  • Sarin, R.
  • Wakker, P.P.

    (Tilburg University, School of Economics and Management)

Abstract

Anscombe and Aumann showed that if one accepts the existence of a physical randomizing device such as a roulette wheel then Savage's derivation of subjective expected utility can be considerably simplified. They, however, invoked compound gambles to define their axioms. We demonstrate that the subjective expected utility derivation can be further simplified and need not invoke compound gambles. Our simplification is obtained by closely following the steps by which probabilities and utilities are elicited.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Sarin, R. & Wakker, P.P., 1996. "A Single-Stage Approach to Anscombe and Aumann's Expected Utility," Other publications TiSEM aae9febd-70bd-4a52-9c6b-4, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:aae9febd-70bd-4a52-9c6b-43e547f185b9
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    Cited by:

    1. Yoram Halevy & Emre Ozdenoren, 2022. "Uncertainty and compound lotteries: calibration," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 373-395, September.
    2. Mark Machina, 2004. "Almost-objective uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 1-54, July.
    3. Francis C. Chu & Joseph Y. Halpern, 2004. "Great expectations. Part II: Generalized expected utility as a universal decision rule," Game Theory and Information 0411004, University Library of Munich, Germany.
    4. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2017. "Mixed extensions of decision problems under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 827-866, April.
    5. Keiran Sharpe, 2023. "On the Ellsberg and Machina paradoxes," Theory and Decision, Springer, vol. 95(4), pages 539-573, November.
    6. Yoram Halevy & Vincent Feltkamp, 2005. "A Bayesian Approach to Uncertainty Aversion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 449-466.
    7. Hill, Brian, 2023. "Beyond uncertainty aversion," Games and Economic Behavior, Elsevier, vol. 141(C), pages 196-222.
    8. Craig S. Webb, 2017. "Purely subjective variational preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(1), pages 121-137, June.
    9. Brian Hill, 2023. "Beyond Uncertainty Aversion," Post-Print hal-02428398, HAL.

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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