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Reasoning about rationality

Author

Listed:
  • Bjorndahl, A.
  • Halpern, J.Y.
  • Pass, R.

Abstract

We provide a sound and complete axiomatization for a class of logics appropriate for reasoning about the rationality of players in games, and show that essentially the same axiomatization applies to a very wide class of decision rules. We also consider games in which players may be uncertain as to what decision rules their opponents are using, and define in this context a new solution concept, D-rationalizability.

Suggested Citation

  • Bjorndahl, A. & Halpern, J.Y. & Pass, R., 2017. "Reasoning about rationality," Games and Economic Behavior, Elsevier, vol. 104(C), pages 146-164.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:146-164
    DOI: 10.1016/j.geb.2017.03.006
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    References listed on IDEAS

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    1. Hayashi, Takashi, 2008. "Regret aversion and opportunity dependence," Journal of Economic Theory, Elsevier, vol. 139(1), pages 242-268, March.
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    6. Adam Brandenburger & Eddie Dekel, 2014. "Rationalizability and Correlated Equilibria," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 3, pages 43-57, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Balkenborg, Dieter, 2018. "Rationalizability and logical inference," Games and Economic Behavior, Elsevier, vol. 110(C), pages 248-257.

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    More about this item

    Keywords

    Axiomatization; Rationality; Decision rules; Epistemic game theory; Rationalizability;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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