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A Theory of Reciprocity with Incomplete Information

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  • Vostroknutov Alexander

    (METEOR)

Abstract

A model of belief dependent preferences in finite multi-stage games with observable actions isproposed. It combines two dissimilar approaches: incomplete information (Levine, 1998) andintentionality (Dufwenberg and Kirchsteiger, 2004; Falk and Fischbacher, 2006). Incompleteinformation is important because social preferences are not directly observable; intentions arefound to be indispensable in explaining behavior in games (Falk, Fehr, and Fischbacher, 2008). Inthe model it is assumed that the players have social attitudes that define their socialpreferences. In addition, players care differently about the payoffs of other players depending ontheir beliefs about their social attitude and possibly on the beliefs of higher orders. As thegame unfolds players update their beliefs about the types of other players. An action of a playershows intention when she chooses it anticipating future belief updating by others. A reasoningprocedure is proposed that allows players to understand how to update beliefs by constructing asequence of logical implications.

Suggested Citation

  • Vostroknutov Alexander, 2012. "A Theory of Reciprocity with Incomplete Information," Research Memorandum 015, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2012015
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    File URL: https://cris.maastrichtuniversity.nl/portal/files/950618/content
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    References listed on IDEAS

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    1. Ernst Fehr & Simon G├Ąchter, 2000. "Fairness and Retaliation: The Economics of Reciprocity," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 159-181, Summer.
    2. Falk, Armin & Fehr, Ernst & Fischbacher, Urs, 2008. "Testing theories of fairness--Intentions matter," Games and Economic Behavior, Elsevier, vol. 62(1), pages 287-303, January.
    3. Kerwin Kofi Charles & Erik Hurst & Nikolai Roussanov, 2009. "Conspicuous Consumption and Race," The Quarterly Journal of Economics, Oxford University Press, vol. 124(2), pages 425-467.
    4. McCabe, Kevin A. & Rigdon, Mary L. & Smith, Vernon L., 2003. "Positive reciprocity and intentions in trust games," Journal of Economic Behavior & Organization, Elsevier, vol. 52(2), pages 267-275, October.
    5. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    6. Clark, Kenneth & Sefton, Martin, 2001. "The Sequential Prisoner's Dilemma: Evidence on Reciprocation," Economic Journal, Royal Economic Society, vol. 111(468), pages 51-68, January.
    7. Cox, James C. & Friedman, Daniel & Gjerstad, Steven, 2007. "A tractable model of reciprocity and fairness," Games and Economic Behavior, Elsevier, vol. 59(1), pages 17-45, April.
    8. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
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    Keywords

    microeconomics ;

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