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Observable implications of Nash and subgame-perfect behavior in extensive games

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  • Ray, Indrajit
  • Snyder, Susan

Abstract

We provide necessary and sufficient conditions for observed outcomes in extensive game forms, in which preferences are unobserved, to be rationalized first, weakly, as a Nash equilibrium and then as the unique subgame-perfect equilibrium. Thus, one could use these conditions to find that play is (a) consistent with subgame-perfect equilibrium, or (b) not consistent with subgame-perfect behavior but is consistent with Nash equilibrium, or (c) consistent with neither.

Suggested Citation

  • Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:6:p:471-477
    DOI: 10.1016/j.jmateco.2013.08.008
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    Cited by:

    1. Li, Jiangtao & Tang, Rui, 2017. "Every random choice rule is backwards-induction rationalizable," Games and Economic Behavior, Elsevier, vol. 104(C), pages 563-567.
    2. Walter Bossert & Yves Sprumont, 2013. "Every Choice Function Is Backwards‐Induction Rationalizable," Econometrica, Econometric Society, vol. 81(6), pages 2521-2534, November.
    3. Pierre-André Chiappori & Olivier Donni, 2005. "Learning From a Piece of Pie: The Empirical Content of Nash Bargaining," THEMA Working Papers 2006-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    4. Freer, Mikhail & Martinelli, César, 2021. "A utility representation theorem for general revealed preference," Mathematical Social Sciences, Elsevier, vol. 111(C), pages 68-76.
    5. Lee, Byung Soo & Stewart, Colin, 2016. "Identification of payoffs in repeated games," Games and Economic Behavior, Elsevier, vol. 99(C), pages 82-88.

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    More about this item

    Keywords

    Revealed preference; Consistency; Subgame-perfect equilibrium;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

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