IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v136y2007i1p197-216.html
   My bibliography  Save this article

Tit for tat: Foundations of preferences for reciprocity in strategic settings

Author

Listed:
  • Segal, Uzi
  • Sobel, Joel

Abstract

This paper assumes that in addition to the conventional (selfish) preferences over outcomes, players in a strategic environment have preferences over strategies. In the context of two-player games, it provides conditions under which a player's preferences over strategies can be represented as a weighted average of the individual's selfish payoffs and the selfish payoffs of the opponent. The weight one player places on the opponent's selfish utility depends on the opponent's behavior. In this way, the framework is rich enough to describe the behavior of individuals who repay kindness with kindness and meanness with meanness. The paper assumes that each player has an ordering over his opponent's strategies that describes the niceness of these strategies. It introduces a condition that insures that the weight on opponent's utility increases if and only if the opponent chooses a nicer strategy.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Segal, Uzi & Sobel, Joel, 2007. "Tit for tat: Foundations of preferences for reciprocity in strategic settings," Journal of Economic Theory, Elsevier, vol. 136(1), pages 197-216, September.
  • Handle: RePEc:eee:jetheo:v:136:y:2007:i:1:p:197-216
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(06)00120-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    3. Ledyard, John O., "undated". "Public Goods: A Survey of Experimental Research," Working Papers 861, California Institute of Technology, Division of the Humanities and Social Sciences.
    4. Ernst Fehr & Simon Gachter & Georg Kirchsteiger, 1997. "Reciprocity as a Contract Enforcement Device: Experimental Evidence," Econometrica, Econometric Society, vol. 65(4), pages 833-860, July.
    5. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, April.
    6. Falk, Armin & Fischbacher, Urs, 2006. "A theory of reciprocity," Games and Economic Behavior, Elsevier, vol. 54(2), pages 293-315, February.
    7. Andreoni, James, 1995. "Cooperation in Public-Goods Experiments: Kindness or Confusion?," American Economic Review, American Economic Association, vol. 85(4), pages 891-904, September.
    8. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-1050, July.
    9. Wintrobe,Ronald, 2000. "The Political Economy of Dictatorship," Cambridge Books, Cambridge University Press, number 9780521794497, October.
    10. Albert Breton & Gianluigi Galeotti & Pierre Salmon & Ronald Wintrobe, 1995. "Nationalism and Rationality," Post-Print hal-00445587, HAL.
    11. D. Pearce, 2010. "Rationalizable Strategic Behavior and the Problem of Perfection," Levine's Working Paper Archive 523, David K. Levine.
    12. Fearon, James D., 1995. "Rationalist explanations for war," International Organization, Cambridge University Press, vol. 49(3), pages 379-414, July.
    13. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-1028, July.
    15. Dufwenberg, Martin & Kirchsteiger, Georg, 2004. "A theory of sequential reciprocity," Games and Economic Behavior, Elsevier, vol. 47(2), pages 268-298, May.
    16. Gary E Bolton & Axel Ockenfels, 1997. "A Theory of Equity, Reciprocity, and Competition," Levine's Working Paper Archive 1889, David K. Levine.
    17. Bolton Gary E. & Zwick Rami, 1995. "Anonymity versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 10(1), pages 95-121, July.
    18. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    19. Bolton, Gary E, 1991. "A Comparative Model of Bargaining: Theory and Evidence," American Economic Review, American Economic Association, vol. 81(5), pages 1096-1136, December.
    20. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    21. Geanakoplos, John & Pearce, David & Stacchetti, Ennio, 1989. "Psychological games and sequential rationality," Games and Economic Behavior, Elsevier, vol. 1(1), pages 60-79, March.
    22. John Geanakoplos & David Pearce & Ennio Stacchetti, 2010. "Psychological Games and Sequential Rationality," Levine's Working Paper Archive 587, David K. Levine.
    23. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    24. Abbink, Klaus & Irlenbusch, Bernd & Renner, Elke, 2000. "The moonlighting game: An experimental study on reciprocity and retribution," Journal of Economic Behavior & Organization, Elsevier, vol. 42(2), pages 265-277, June.
    25. Fehr, Ernst & Gachter, Simon, 1998. "Reciprocity and economics: The economic implications of Homo Reciprocans1," European Economic Review, Elsevier, vol. 42(3-5), pages 845-859, May.
    26. Abbink, Klaus & Bolton, Gary E. & Sadrieh, Abdolkarim & Tang, Fang-Fang, 2001. "Adaptive Learning versus Punishment in Ultimatum Bargaining," Games and Economic Behavior, Elsevier, vol. 37(1), pages 1-25, October.
    27. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    28. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    29. Olson, Mancur, 1993. "Dictatorship, Democracy, and Development," American Political Science Review, Cambridge University Press, vol. 87(3), pages 567-576, September.
    30. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    31. Berg Joyce & Dickhaut John & McCabe Kevin, 1995. "Trust, Reciprocity, and Social History," Games and Economic Behavior, Elsevier, vol. 10(1), pages 122-142, July.
    32. Abhijit V. Banerjee, 1992. "A Simple Model of Herd Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(3), pages 797-817.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fehr, Ernst & Schmidt, Klaus M., 2005. "The Economics of Fairness, Reciprocity and Altruism – Experimental Evidence and New Theories," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 66, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    2. 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.
    3. Ernst Fehr & Klaus M. Schmidt, "undated". "Theories of Fairness and Reciprocity - Evidence and Economic Applications," IEW - Working Papers 075, Institute for Empirical Research in Economics - University of Zurich.
    4. Bodo Sturm & Joachim Weimann, 2006. "Experiments in Environmental Economics and Some Close Relatives," Journal of Economic Surveys, Wiley Blackwell, vol. 20(3), pages 419-457, July.
    5. Battigalli, Pierpaolo & Dufwenberg, Martin, 2009. "Dynamic psychological games," Journal of Economic Theory, Elsevier, vol. 144(1), pages 1-35, January.
    6. Kovarik, Jaromir, 2009. "Social Preferences - Literature Survey," IKERLANAK 6416, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    7. Kovarik, Jaromir, 2009. "Social Preferences - Literature Survey," IKERLANAK 2009-36, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    8. Christian Korth, 2009. "Reciprocity—An Indirect Evolutionary Analysis," Lecture Notes in Economics and Mathematical Systems, in: Fairness in Bargaining and Markets, chapter 0, pages 35-55, Springer.
    9. Barmettler, Franziska & Fehr, Ernst & Zehnder, Christian, 2012. "Big experimenter is watching you! Anonymity and prosocial behavior in the laboratory," Games and Economic Behavior, Elsevier, vol. 75(1), pages 17-34.
    10. Christian Thoeni & Simon Gaechter, 2011. "Peer Effects and Social Preferences in Voluntary Cooperation," Discussion Papers 2011-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    11. Xiao, Erte & Bicchieri, Cristina, 2010. "When equality trumps reciprocity," Journal of Economic Psychology, Elsevier, vol. 31(3), pages 456-470, June.
    12. Klaus M. Schmidt, 2011. "Social Preferences and Competition," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 207-231, August.
    13. Okada, Akira & Riedl, Arno, 2005. "Inefficiency and social exclusion in a coalition formation game: experimental evidence," Games and Economic Behavior, Elsevier, vol. 50(2), pages 278-311, February.
    14. Gary Charness & Martin Dufwenberg, 2006. "Promises and Partnership," Econometrica, Econometric Society, vol. 74(6), pages 1579-1601, November.
    15. Kritikos, Alexander S. & Tan, Jonathan H. W., 2005. "Indenture as a Commitment Device in Self-Enforced Contracts: An Experimental Test," Discussion Papers 241, European University Viadrina Frankfurt (Oder), Department of Business Administration and Economics.
    16. Ernst Fehr & Susanne Kremhelmer & Klaus M. Schmidt, 2008. "Fairness and the Optimal Allocation of Ownership Rights," Economic Journal, Royal Economic Society, vol. 118(531), pages 1262-1284, August.
    17. Gneezy, Uri & Guth, Werner & Verboven, Frank, 2000. "Presents or investments? An experimental analysis," Journal of Economic Psychology, Elsevier, vol. 21(5), pages 481-493, October.
    18. Abdurrahman Bekir Aydemir, 1999. "Forecast Performance of Threshold Autoregressive Models - A Monte Carlo Study," University of Western Ontario, Departmental Research Report Series 9905, University of Western Ontario, Department of Economics.
    19. Charness, Gary & Dufwenberg, Martin, 2003. "Promises & Partnership," Research Papers in Economics 2003:3, Stockholm University, Department of Economics.
    20. D'Agostino, Elena & Lisciandra, Maurizio, 2012. "Enforceable vs. non-enforceable contracts: a theoretical appraisal with fair players," MPRA Paper 41261, University Library of Munich, Germany.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:136:y:2007:i:1:p:197-216. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.