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Bargaining with incomplete information: Evolutionary stability in finite populations

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  • Konrad, Kai A.
  • Morath, Florian

Abstract

This paper considers evolutionarily stable strategies (ESS) in a take-it-or-leave-it offer bargaining game with incomplete information. We find responders reject offers which yield a higher positive material payoff than their outside option. Proposers, in turn, may make more attractive offers than in the perfect Bayesian equilibrium. Efficiency-enhancing trade can break down even when the responder has no private information. Overall, the probability of trade and ex post efficiency are lower in the ESS than in the corresponding perfect Bayesian equilibrium. The results are observationally equivalent to behavioral explanations such as in-group favoritism and a preference for punishing selfish proposers but are driven by concerns about evolutionary fitness in finite populations.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:mateco:v:65:y:2016:i:c:p:118-131
    DOI: 10.1016/j.jmateco.2016.06.001
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    1. Güth, Werner & Kocher, Martin G., 2014. "More than thirty years of ultimatum bargaining experiments: Motives, variations, and a survey of the recent literature," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 396-409.
    2. Heifetz, Aviad & Segev, Ella, 2004. "The evolutionary role of toughness in bargaining," Games and Economic Behavior, Elsevier, vol. 49(1), pages 117-134, October.
    3. Boudreau, James W. & Shunda, Nicholas, 2012. "On the evolution of prize perceptions in contests," Economics Letters, Elsevier, vol. 116(3), pages 498-501.
    4. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    5. Hehenkamp, Burkhard & Possajennikov, Alex & Guse, Tobias, 2010. "On the equivalence of Nash and evolutionary equilibrium in finite populations," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 254-258, February.
    6. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    7. Ok, Efe A. & Vega-Redondo, Fernando, 2001. "On the Evolution of Individualistic Preferences: An Incomplete Information Scenario," Journal of Economic Theory, Elsevier, vol. 97(2), pages 231-254, April.
    8. Abreu, Dilip & Sethi, Rajiv, 2003. "Evolutionary stability in a reputational model of bargaining," Games and Economic Behavior, Elsevier, vol. 44(2), pages 195-216, August.
    9. Wolfgang Leininger, 2009. "Evolutionarily stable preferences in contests," Public Choice, Springer, vol. 140(3), pages 341-356, September.
    10. Efe A. Ok & Levent KoÚkesen, 2000. "Negatively interdependent preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 533-558.
    11. Ania, Ana B., 2008. "Evolutionary stability and Nash equilibrium in finite populations, with an application to price competition," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 472-488, March.
    12. Ken Binmore & Michele Piccione & Larry Samuelson, "undated". "Evolutionary Stability in Alternating-Offers Bargaining Games," ELSE working papers 041, ESRC Centre on Economics Learning and Social Evolution.
    13. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    14. Binmore, Ken & Piccione, Michele & Samuelson, Larry, 1998. "Evolutionary Stability in Alternating-Offers Bargaining Games," Journal of Economic Theory, Elsevier, vol. 80(2), pages 257-291, June.
    15. Tore Ellingsen, 1997. "The Evolution of Bargaining Behavior," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 581-602.
    16. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    17. Andreas Wagener, 2013. "Tax Competition, Relative Performance, And Policy Imitation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1251-1264, November.
    18. Dufwenberg, Martin & Guth, Werner, 2000. "Why do you hate me?: On the survival of spite," Economics Letters, Elsevier, vol. 67(2), pages 147-152, May.
    19. Kalyan Chatterjee & William Samuelson, 1983. "Bargaining under Incomplete Information," Operations Research, INFORMS, vol. 31(5), pages 835-851, October.
    20. Jean-Philippe Atzenhoffer, 2010. "A Note on Imitation-Based Competition in Common-Pool Resources," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 47(2), pages 299-304, October.
    21. Hehenkamp, B. & Leininger, W. & Possajennikov, A., 2004. "Evolutionary equilibrium in Tullock contests: spite and overdissipation," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1045-1057, November.
    22. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
    23. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 497-516, October.
    24. Mui, Vai-Lam, 1995. "The economics of envy," Journal of Economic Behavior & Organization, Elsevier, vol. 26(3), pages 311-336, May.
    25. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
    26. Ely, Jeffrey C. & Yilankaya, Okan, 2001. "Nash Equilibrium and the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 255-272, April.
    27. Oren Bar-Gill, 2006. "The Evolution and Persistence of Optimism in Litigation," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 22(2), pages 490-507, October.
    28. Huck, Steffen & Oechssler, Jorg, 1999. "The Indirect Evolutionary Approach to Explaining Fair Allocations," Games and Economic Behavior, Elsevier, vol. 28(1), pages 13-24, July.
    29. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    30. Eddie Dekel & Jeffrey C. Ely & Okan Yilankaya, 2007. "Evolution of Preferences -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 685-704.
    31. Sethi, Rajiv, 1996. "Evolutionary stability and social norms," Journal of Economic Behavior & Organization, Elsevier, vol. 29(1), pages 113-140, January.
    32. Guth, Werner & Schmittberger, Rolf & Schwarze, Bernd, 1982. "An experimental analysis of ultimatum bargaining," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 367-388, December.
    33. Martin A. Nowak & Akira Sasaki & Christine Taylor & Drew Fudenberg, 2004. "Emergence of cooperation and evolutionary stability in finite populations," Nature, Nature, vol. 428(6983), pages 646-650, April.
    34. 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.
    35. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "The Strategic Advantage of Negatively Interdependent Preferences," Journal of Economic Theory, Elsevier, vol. 92(2), pages 274-299, June.
    36. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    37. Schaffer, Mark E., 1989. "Are profit-maximisers the best survivors? : A Darwinian model of economic natural selection," Journal of Economic Behavior & Organization, Elsevier, vol. 12(1), pages 29-45, August.
    38. Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November.
    39. Dekel, Eddie & Ely, Jeffrey & Yilankaya, Okan, 2004. "Evolution of Preferences," Microeconomics.ca working papers dekel-04-08-13-01-21-07, Vancouver School of Economics, revised 09 Jun 2006.
    40. Possajennikov, Alex, 2000. "On the evolutionary stability of altruistic and spiteful preferences," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 125-129, May.
    41. Asher Wolinsky, 2000. "A Theory of the Firm with Non-Binding Employment Contracts," Econometrica, Econometric Society, vol. 68(4), pages 875-910, July.
    42. Wärneryd, Karl, 2012. "The evolution of preferences for conflict," Economics Letters, Elsevier, vol. 116(1), pages 102-104.
    43. Lu, Xiaohua & McAfee, R. Preston, 1996. "The Evolutionary Stability of Auctions over Bargaining," Games and Economic Behavior, Elsevier, vol. 15(2), pages 228-254, August.
    44. B. Curtis Eaton & Mukesh Eswaran & Robert J. Oxoby, 2011. "Us and `Them': the origin of identity, and its economic implications," Canadian Journal of Economics, Canadian Economics Association, vol. 44(3), pages 719-748, August.
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    More about this item

    Keywords

    Evolutionary stability; Finite population; Take-it-or-leave-it offer bargaining; Asymmetric information;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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