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Evolutionary Stability in a Reputational Model of Bargaining

Author

Listed:
  • Dilip Abreu

    (Princeton University)

  • Rajiv Sethi

    (Barnard College, Columbia University)

Abstract

A large and growing literature on reputation in games builds on the insight that the possibility of one or more players being other than fully rational can have significant effects on equilibrium behavior. This literature leaves unexplained the presence of behavioral players in the first place, and the particular forms of irrationality assumed. In this paper we endogenize departures from rationality on the basis of an evolutionary stability criterion, under the assumption that rational players incur a cost which reflects the greater sophistication of their behavior. This cost may be arbitrarily small. Within the context of a reputational model of bargaining, we show that evolutionary stability necessitates the presence of behavioral players, and places significant restrictions on the set of behavioral types that can coexist. It is consistent, however, with a broad variety of outcomes ranging from immediate agreement to complete surplus dissipation. The long run population share of behavioral types is greatest at states in which surplus dissipation is either negligible or almost complete.

Suggested Citation

  • Dilip Abreu & Rajiv Sethi, 2001. "Evolutionary Stability in a Reputational Model of Bargaining," Game Theory and Information 0103001, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0103001
    Note: Type of Document - Tex; prepared on IBM PC ; to print on HP/PostScript; pages: 29 ; figures: included
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    References listed on IDEAS

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    1. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    2. Young H. P., 1993. "An Evolutionary Model of Bargaining," Journal of Economic Theory, Elsevier, vol. 59(1), pages 145-168, February.
    3. Simon, Herbert A, 1978. "Rationality as Process and as Product of Thought," American Economic Review, American Economic Association, vol. 68(2), pages 1-16, May.
    4. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    5. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    6. Guttman, Joel M., 1996. "Rational actors, tit-for-tat types, and the evolution of cooperation," Journal of Economic Behavior & Organization, Elsevier, vol. 29(1), pages 27-56, January.
    7. Dekel, Eddie & Scotchmer, Suzanne, 1992. "On the evolution of optimizing behavior," Journal of Economic Theory, Elsevier, vol. 57(2), pages 392-406, August.
    8. Conlisk, John, 1980. "Costly optimizers versus cheap imitators," Journal of Economic Behavior & Organization, Elsevier, vol. 1(3), pages 275-293, September.
    9. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
    10. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
    11. Stahl Dale O., 1993. "Evolution of Smartn Players," Games and Economic Behavior, Elsevier, vol. 5(4), pages 604-617, October.
    12. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    13. Kalyan Chatterjee & Larry Samuelson, 1987. "Bargaining with Two-sided Incomplete Information: An Infinite Horizon Model with Alternating Offers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(2), pages 175-192.
    14. Karl H. Schlag & Dieter Balkenborg, 2001. "Evolutionarily stable sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 571-595.
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    Cited by:

    1. Daniel G. Stephenson & Alexander L. Brown, 2021. "Playing the field in all-pay auctions," Experimental Economics, Springer;Economic Science Association, vol. 24(2), pages 489-514, June.
    2. Friedman, Daniel & Singh, Nirvikar, 2009. "Equilibrium vengeance," Games and Economic Behavior, Elsevier, vol. 66(2), pages 813-829, July.
    3. Kai A. Konrad & Florian Morath, 2011. "Evolutionarily stable in-group favoritism and out-group spite in intergroup conflict," Working Papers evolutionarily_stable, Max Planck Institute for Tax Law and Public Finance.
    4. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    5. Selçuk Özyurt, 2015. "Searching for a Bargain: Power of Strategic Commitment," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 320-353, February.
    6. Vincent P. Crawford, 2003. "Lying for Strategic Advantage: Rational and Boundedly Rational Misrepresentation of Intentions," American Economic Review, American Economic Association, vol. 93(1), pages 133-149, March.
    7. Send, Jonas & Serena, Marco, 2022. "An empirical analysis of insistent bargaining," Journal of Economic Psychology, Elsevier, vol. 90(C).
    8. Konrad, Kai A. & Morath, Florian, 2016. "Bargaining with incomplete information: Evolutionary stability in finite populations," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 118-131.
    9. Thierry Vignolo, 2010. "Imitation and selective matching in reputational games," Journal of Evolutionary Economics, Springer, vol. 20(3), pages 395-412, June.
    10. Heller, Yuval & Mohlin, Erik, 2019. "Coevolution of deception and preferences: Darwin and Nash meet Machiavelli," Games and Economic Behavior, Elsevier, vol. 113(C), pages 223-247.
    11. Anna Sanktjohanser, 2020. "Optimally Stubborn," Cowles Foundation Discussion Papers 2255, Cowles Foundation for Research in Economics, Yale University.
    12. Jack Robles, 2008. "Evolution, bargaining, and time preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 35(1), pages 19-36, April.
    13. Heggedal, Tom-Reiel & Helland, Leif & Våge Knutsen, Magnus, 2022. "The power of outside options in the presence of obstinate types," Games and Economic Behavior, Elsevier, vol. 136(C), pages 454-468.
    14. Sanktjohanser, Anna, 2022. "Optimally Stubborn," TSE Working Papers 22-1367, Toulouse School of Economics (TSE).
    15. Jonas Send & Marco Serena, 2021. "An Empirical Analysis of Stubborn Bargaining," Working Papers tax-mpg-rps-2021-05, Max Planck Institute for Tax Law and Public Finance.

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    More about this item

    Keywords

    Reputation; Evolutionary Stability; Bargaining;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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