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Two-Speed Evolution of Strategies and Preferences In Symmetric Games

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  • Alex Possajennikov

Abstract

Agents in a large population are randomly matched to play a certain game, payoffs in which represent fitness. Agents may have preferences that are different from fitness. They learn strategies according to their preferences, and 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 fitness game can be stable. When agents do not know the preferences of the opponent, only Nash equilibria of the fitness game can be stable. For 2 × 2 symmetric games I characterize preferences that are stable. Copyright Springer 2004

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  • Alex Possajennikov, 2004. "Two-Speed Evolution of Strategies and Preferences In Symmetric Games," Theory and Decision, Springer, vol. 57(3), pages 227-263, November.
    • Handle: RePEc:kap:theord:v:57:y:2004:i:3:p:227-263
    DOI: 10.1007/s11238-005-0282-z
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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

    Keywords

    Evolutionary stability; Symmetric games; Two-speed evolution;
    All these keywords.

    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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