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Two-Speed Evolution of Strategies and Preferences in Symmetric Games

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  • Possajennikov, Alex

    (Sonderforschungsbereich 504)

Abstract

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.

Suggested Citation

  • Possajennikov, Alex, 2002. "Two-Speed Evolution of Strategies and Preferences in Symmetric Games," Sonderforschungsbereich 504 Publications 02-03, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    • 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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    File URL: http://www.sfb504.uni-mannheim.de/publications/dp02-03.pdf
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
    2. Possajennikov, Alexandre, 2002. "Cooperative prisoners and aggressive chickens : evolution of strategies and preferences in 2x2 games," Papers 02-04, Sonderforschungsbreich 504.
    3. Alex Possajennikov, 2005. "Cooperation And Competition: Learning Of Strategies And Evolution Of Preferences In Prisoners' Dilemma And Hawk-Dove Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 443-459.
    4. Alex Possajennikov, 2004. "Two-Speed Evolution of Strategies and Preferences In Symmetric Games," Theory and Decision, Springer, vol. 57(3), pages 227-263, November.

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    More about this item

    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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