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Perfect Sequential Reciprocity and Dynamic Consistency

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  • Penta, Antonio

Abstract

Dufwenberg and Kirchsteiger�s (2004) extends Rabin�s (1993) theory of reciprocity in a dynamic sense, introducing a rule of revision for player�s beliefs. The Sequential Reciprocity Equilibrium [SRE] they define can be dynamically inconsistent. In this article it is argued that such dynamic inconsistency is not intrinsically related to issues of reciprocity, but rather to the particular way the beliefs�updating process is modeled. A refinement of the SRE, which is both dynamically consistent and, it is argued, more sound to assumptions usually made in the literature of information economics and philosophy, is proposed.

Suggested Citation

  • Penta, Antonio, 2004. "Perfect Sequential Reciprocity and Dynamic Consistency," MPRA Paper 10261, University Library of Munich, Germany, revised Sep 2007.
  • Handle: RePEc:pra:mprapa:10261
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    File URL: https://mpra.ub.uni-muenchen.de/10261/1/MPRA_paper_10261.pdf
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    References listed on IDEAS

    as
    1. Battigalli, Pierpaolo & Bonanno, Giacomo, 1999. "Recent results on belief, knowledge and the epistemic foundations of game theory," Research in Economics, Elsevier, vol. 53(2), pages 149-225, June.
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    4. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    5. Stalnaker, Robert, 1996. "Knowledge, Belief and Counterfactual Reasoning in Games," Economics and Philosophy, Cambridge University Press, vol. 12(2), pages 133-163, October.
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    7. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
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    More about this item

    Keywords

    Reciprocity; � Dynamic Consistency;

    JEL classification:

    • D64 - Microeconomics - - Welfare Economics - - - Altruism; Philanthropy; Intergenerational Transfers
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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