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An epistemic characterization of generalized backward induction

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  • Giacomo Bonanno

    (Department of Economics, University of California Davis)

Abstract

We investigate the extension of backward-induction to von Neumann extensive games (where information sets have a synchronous structure) and provide an epistemic characterization of it. Extensions of the idea of backward-induction were proposed by Penta (2009) and later by Perea (2013), who also provided an epistemic characterization in terms of the notion of common belief in future rationality. The epistemic characterization we propose, although differently formulated, is conceptually the same as Perea's and so is the generalization of backward induction. The novelty of this contribution lies in the epistemic models that we use, which are dynamic, behavioral models where strategies play no role and the only beliefs that are specified are the actual beliefs of the players at the time of choice. Thus our analysis is free of (objective or subjective) counterfactuals.

Suggested Citation

  • Giacomo Bonanno, 2013. "An epistemic characterization of generalized backward induction," Working Papers 132, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:13-2
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    File URL: http://wp.econ.ucdavis.edu/13-2.pdf
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    References listed on IDEAS

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    1. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 1999. "Payoff Information and Self-Confirming Equilibrium," Journal of Economic Theory, Elsevier, vol. 89(2), pages 165-185, December.
    2. Asheim, Geir B. & Perea, Andres, 2005. "Sequential and quasi-perfect rationalizability in extensive games," Games and Economic Behavior, Elsevier, vol. 53(1), pages 15-42, October.
    3. Shimoji, Makoto & Watson, Joel, 1998. "Conditional Dominance, Rationalizability, and Game Forms," Journal of Economic Theory, Elsevier, vol. 83(2), pages 161-195, December.
    4. Dekel, Eddie & Fudenberg, Drew & Levine, David K., 2002. "Subjective Uncertainty over Behavior Strategies: A Correction," Journal of Economic Theory, Elsevier, vol. 104(2), pages 473-478, June.
    5. Pierpaolo Battigalli & Alfredo Di Tillio & Dov Samet, 2011. "Strategies and interactive beliefs in dynamic games," Working Papers 375, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Dynamic game; imperfect information; backward induction; belief; rationality; behavioral model;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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