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Ambiguous Act Equilibria

Author

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  • Sophie Bade

    (Max Planck Institute for Research on Collective Goods, Bonn)

Abstract

A game-theoretic framework that allows for explicitly randomized strategies is used to study the effect of ambiguity aversion on equilibrium outcomes. The notions of "independent strategies" as well as of "common priors" are amended to render them applicable to games in which players lack probabilistic sophistication. Within this framework the equilibrium predictions of two player games with ambiguity averse and with ambiguity neutral players are observationally equivalent. This equivalence result does not extend to the case of games with more than two players. A translation of the concept of equilibrium in beliefs to the context of ambiguity aversion yields substantially di erent predictions – even for the case with just two players.

Suggested Citation

  • Sophie Bade, 2010. "Ambiguous Act Equilibria," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2010_09, Max Planck Institute for Research on Collective Goods.
    • Handle: RePEc:mpg:wpaper:2010_09
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    File URL: http://www.coll.mpg.de/pdf_dat/2010_09online.pdf
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    References listed on IDEAS

    as
    1. , & , & ,, 2006. "Optimal auctions with ambiguity," Theoretical Economics, Econometric Society, vol. 1(4), pages 411-438, December.
    2. Cerreia-Vioglio, S. & Maccheroni, F. & Marinacci, M. & Montrucchio, L., 2011. "Uncertainty averse preferences," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1275-1330, July.
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    Cited by:

    1. Kellner, Christian & Le Quement, Mark T., 2018. "Endogenous ambiguity in cheap talk," Journal of Economic Theory, Elsevier, vol. 173(C), pages 1-17.
    2. Riedel, Frank & Sass, Linda, 2016. "The strategic use of ambiguity," Center for Mathematical Economics Working Papers 452, Center for Mathematical Economics, Bielefeld University.
    3. Kellner, Christian & Le Quement, Mark T., 2017. "Modes of ambiguous communication," Games and Economic Behavior, Elsevier, vol. 104(C), pages 271-292.

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    More about this item

    Keywords

    Uncertainty Aversion; Nash Equilibrium; Ambiguity;
    All these keywords.

    JEL classification:

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

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