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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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    References listed on IDEAS

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    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.
    2. Lawrence Blume & Adam Brandenburger & Eddie Dekel, 2014. "Lexicographic Probabilities and Choice Under Uncertainty," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 6, pages 137-160, World Scientific Publishing Co. Pte. Ltd..
    3. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
    4. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
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    8. Dufwenberg, M. & Kirchsteiger, G., 1998. "A Theory of Sequential Reciprocity," Other publications TiSEM c19f51ac-cd7f-479b-8892-b, Tilburg University, School of Economics and Management.
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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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