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Ambiguous act equilibria

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  • Bade, Sophie

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 different predictions - even for the case with just two players.

Suggested Citation

  • Bade, Sophie, 2011. "Ambiguous act equilibria," Games and Economic Behavior, Elsevier, vol. 71(2), pages 246-260, March.
  • Handle: RePEc:eee:gamebe:v:71:y:2011:i:2:p:246-260
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Frank Riedel & Linda Sass, 2014. "Ellsberg games," Theory and Decision, Springer, vol. 76(4), pages 469-509, April.
    2. Lang, Matthias & Wambach, Achim, 2013. "The fog of fraud – Mitigating fraud by strategic ambiguity," Games and Economic Behavior, Elsevier, vol. 81(C), pages 255-275.
    3. Giuseppe De Marco, 2016. "Ambiguous Games without a State Space and Full Rationality," CSEF Working Papers 425, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 01 Apr 2017.
    4. Jian Yang, 2015. "Game-theoretic Modeling of Players' Ambiguities on External Factors," Papers 1510.06812, arXiv.org, revised Apr 2017.
    5. Jürgen Eichberger & Simon Grant & David Kelsey, 2016. "Randomization and dynamic consistency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(3), pages 547-566, August.
    6. Riedel, Frank, 2017. "Uncertain acts in games," Center for Mathematical Economics Working Papers 571, Center for Mathematical Economics, Bielefeld University.
    7. Gaurab Aryal & Ronald Stauber, 2014. "Trembles in extensive games with ambiguity averse players," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(1), pages 1-40, September.
    8. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
    9. repec:spr:homoec:v:34:y:2017:i:4:d:10.1007_s41412-017-0061-4 is not listed on IDEAS
    10. Giuseppe De Marco & Maria Romaniello, 2014. "Variational Preferences and Equilibria in Games under Ambiguous Beliefs Correspondences," CSEF Working Papers 363, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    11. Dominiak, Adam & Duersch, Peter, 2015. "Benevolent and Malevolent Ellsberg Games," Working Papers 0592, University of Heidelberg, Department of Economics.
    12. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications, Elsevier.
    13. Dorian Beauchêne, 2016. "Solution concepts for games with ambiguous payoffs," Theory and Decision, Springer, vol. 80(2), pages 245-269, February.
    14. Muraviev, Igor & Riedel, Frank & Sass, Linda, 2017. "Kuhn’s Theorem for extensive form Ellsberg games," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 26-41.
    15. Azrieli, Yaron & Teper, Roee, 2011. "Uncertainty aversion and equilibrium existence in games with incomplete information," Games and Economic Behavior, Elsevier, vol. 73(2), pages 310-317.
    16. Grant, Simon & Meneghel, Idione & Tourky, Rabee, 2016. "Savage games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    17. Dominiak, Adam & Lee, Min Suk, 2017. "Coherent Dempster–Shafer equilibrium and ambiguous signals," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 42-54.

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