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- A Bayesian Approach To Uncertainty Aversion

Author

Listed:
  • Vincent Feltkamp

    (Statistics Netherlands)

  • Yoram Halevy

    (University of Pennsylvania)

Abstract

The Ellsberg paradox demonstrates that peoples belief over uncertainevents might not be representable by subjective probability. We relate this paradox to other commonly observed anomalies, suchas a rejection of the backward induction prediction in the one-shot Ultimatum Game. We argue that the pattern common to theseobservations is that the behavior is governed by rational rules. These rules have evolved and are optimal within the repeated andconcurrent environments that people usually encounter. When an individual relies on these rules to analyzeone-shot or single circumstances, paradoxes emerge. We show that when a risk averse individualhas a Bayesian prior and uses a rule which is optimal for simultaneous and positively correlatedambiguous risks to evaluate a single vague circumstance, his behavior will exhibit uncertaintyaversion. Thus, the behavior predicted by Ellsberg may be explained within the Bayesian expectedutility paradigm.

Suggested Citation

  • Vincent Feltkamp & Yoram Halevy, 1999. "- A Bayesian Approach To Uncertainty Aversion," Working Papers. Serie AD 1999-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1999-14
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    References listed on IDEAS

    as
    1. 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.
    2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. Segal, Uzi, 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 175-202, February.
    4. Sarin, Rakesh K & Wakker, Peter, 1992. "A Simple Axiomatization of Nonadditive Expected Utility," Econometrica, Econometric Society, vol. 60(6), pages 1255-1272, November.
    5. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    6. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    7. Camerer, Colin & Weber, Martin, 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-370, October.
    8. Hoffman, Elizabeth & McCabe, Kevin & Smith, Vernon L, 1996. "Social Distance and Other-Regarding Behavior in Dictator Games," American Economic Review, American Economic Association, vol. 86(3), pages 653-660, June.
    9. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
    10. Aumann, Robert J., 1997. "Rationality and Bounded Rationality," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 2-14, October.
    11. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    12. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    13. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    14. Larry Epstein, 1997. "Uncertainty Aversion," Working Papers epstein-97-01, University of Toronto, Department of Economics.
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    More about this item

    Keywords

    Ellsberg paradox; rule rationality; ambiguity aversion; risk aversion;
    All these keywords.

    JEL classification:

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

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