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Guessing the beliefs


  • Lefort, Jean-Philippe


A decision maker facing Knightian uncertainty is about to tell if he prefers an act X or Y. Two agents try to guess what he is going to do. All of them have preferences that achieve a separation of utility from beliefs. The only thing that the two agents do not know is the beliefs, so they evaluate them. We give a definition of "guessing better" and deal with its implications. We study particular cases as subjective expected utility and Choquet expected utility.

Suggested Citation

  • Lefort, Jean-Philippe, 2009. "Guessing the beliefs," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 846-853, December.
  • Handle: RePEc:eee:mateco:v:45:y:2009:i:12:p:846-853

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    References listed on IDEAS

    1. Lehrer, Ehud, 1998. "Comparison of experts," Journal of Mathematical Economics, Elsevier, vol. 30(2), pages 207-214, September.
    2. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    3. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
    4. Gilboa, Itzhak & Lehrer, Ehud, 1991. "The value of information - An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 443-459.
    5. Ghirardato, Paolo & Maccheroni, Fabio & Marinacci, Massimo, 2005. "Certainty Independence and the Separation of Utility and Beliefs," Journal of Economic Theory, Elsevier, vol. 120(1), pages 129-136, January.
    6. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    7. Daniel Ellsberg, 2000. "Risk, Ambiguity and the Savage Axioms," Levine's Working Paper Archive 7605, David K. Levine.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
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    Cited by:

    1. Teper, Roee, 2010. "On comparison of non-Bayesian experts," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 119-122, September.


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