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

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  • Rakesh Sarin
  • Peter Wakker

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.

Suggested Citation

  • Rakesh Sarin & Peter Wakker, 1997. "A Single-Stage Approach to Anscombe and Aumann's Expected Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(3), pages 399-409.
    • Handle: RePEc:oup:restud:v:64:y:1997:i:3:p:399-409.
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    File URL: http://hdl.handle.net/10.2307/2971720
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    Cited by:

    1. Mark Machina, 2004. "Almost-objective uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 1-54, July.
    2. 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.
    3. Keiran Sharpe, 2023. "On the Ellsberg and Machina paradoxes," Theory and Decision, Springer, vol. 95(4), pages 539-573, November.
    4. 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.
    5. 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.
    6. 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.
    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. Mohammed Abdellaoui & Han Bleichrodt & Enrico Diecidue & Horst Zank, 2022. "Introduction to the Special Issue in Honor of Peter Wakker," Theory and Decision, Springer, vol. 92(3), pages 433-444, April.
    10. Brian Hill, 2023. "Beyond Uncertainty Aversion," Post-Print hal-02428398, HAL.

    More about this item

    JEL classification:

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

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