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Equilibrium Departures From Common Knowledge in Games With Non-Additive Expected Utility

Author

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  • Mukerji, S.
  • Song Shin, H.

Abstract

In a game where the players have non-additive beliefs, we explore the beliefs implicit in the equilibrium behaviour of the players. Under one interpretation, we can show that there are well-defined departures from common knowledge of the game among the players. Our argument revolves around a representation theorem which relates equilibrium under under non-additive beliefs to equilibrium actions of a set of types in a Bayesian game with a common prior. Among these types, the game is common p-belief, where the 'p' depends on the degree of uncertainty aversion. Only when the beliefs are additive is p=1.

Suggested Citation

  • Mukerji, S. & Song Shin, H., 1997. "Equilibrium Departures From Common Knowledge in Games With Non-Additive Expected Utility," Economics Papers 137, Economics Group, Nuffield College, University of Oxford.
    • Handle: RePEc:nuf:econwp:137
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    Cited by:

    1. Marinacci, Massimo, 2000. "Ambiguous Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 191-219, May.
    2. Sujoy Mukerji & Jean-Marc Tallon & EUREQua & CNRS - Universite Paris I., 2003. "An overview of economic applications of David Schmeidler`s models of decision making under uncertainty," Economics Series Working Papers 165, University of Oxford, Department of Economics.
    3. Atsushi Kajii & Takashi Ui, 2005. "Incomplete Information Games With Multiple Priors," The Japanese Economic Review, Japanese Economic Association, vol. 56(3), pages 332-351, September.
    4. Kaito Sato, 2011. "Preference for Randomization and Ambiguity Aversion," Discussion Papers 1524, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Gilboa, Itzhak & Samuelson, Larry & Schmeidler, David, 2022. "Learning (to disagree?) in large worlds," Journal of Economic Theory, Elsevier, vol. 199(C).
    6. Roman Kozhan, 2011. "Non-additive anonymous games," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(2), pages 215-230, May.
    7. Kota Saito, 2010. "Preference for Randomization - Ambiguity Aversion and Inequality Aversion," Levine's Working Paper Archive 661465000000000094, David K. Levine.

    More about this item

    Keywords

    GAME THEORY;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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