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Two-Speed Evolution of Strategies and Preferences in Symmetric Games

  • Possajennikov, Alex

    ()

    (Sonderforschungsbereich 504)

Agenst in a large population are randomly matched to play a material payoff game. They may have preferences that are different from the material payoffs. Agents learn equilibrium strategies according to their preferences before evolution changes the preference distribution in the population according to fitness. When agents know the preferences of the opponent in a match, only efficient symmetric strategy profiles of the material payoff game can be stable. When agents do not know the preferences of the opponent, only Nash equilibria of the material payoff game can be stable. For 2x2 symmetric games I characterize preferences that are stable.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 02-03.

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Length: 32 pages
Date of creation: 28 Jan 2002
Date of revision:
Handle: RePEc:xrs:sfbmaa:02-03
Note: Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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  1. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June.
  2. 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.
  3. Possajennikov, Alex, 2002. "Cooperative Prisoners and Aggressive Chickens: Evolution of Strategies and Preferences in 2x2 Games," Sonderforschungsbereich 504 Publications 02-04, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  4. Frank, Robert H, 1987. "If Homo Economicus Could Choose His Own Utility Function, Would He Want One with a Conscience?," American Economic Review, American Economic Association, vol. 77(4), pages 593-604, September.
  5. Werner Güth & Hartmut Kliemt & Bezalel Peleg, 2000. "Co-evolution of Preferences and Information in Simple Games of Trust," German Economic Review, Verein für Socialpolitik, vol. 1(1), pages 83-110, 02.
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  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. William H. Sandholm, 2001. "Preference Evolution, Two-Speed Dynamics, and Rapid Social Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(3), pages 637-679, July.
  9. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
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  11. David K. Levine, 1998. "Modeling Altruism and Spitefulness in Experiment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 593-622, July.
  12. 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.
  13. Swinkels, Jeroen M., 1992. "Evolutionary stability with equilibrium entrants," Journal of Economic Theory, Elsevier, vol. 57(2), pages 306-332, August.
  14. Matsui, Akihiko, 1992. "Best response dynamics and socially stable strategies," Journal of Economic Theory, Elsevier, vol. 57(2), pages 343-362, August.
  15. Bester, H. & Güth, W., 1994. "Is altruism evolutionarily stable ?," Discussion Paper 1994-103, Tilburg University, Center for Economic Research.
  16. Bolle, Friedel, 2000. "Is altruism evolutionarily stable? And envy and malevolence?: Remarks on Bester and Guth," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 131-133, May.
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