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Cooperative prisoners and aggressive chickens : evolution of strategies and preferences in 2x2 games

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  • Possajennikov, Alexandre
Abstract
By means of simulations I investigate a two-speed dynamic on strategies and preferences in the prisoners' dilemma and in the chicken game. Players learn strategies according to their preferences while evolution leads to a change in preference composition. With complete information cooperation in the prisoners' dilemma is often achieved, with 'reciprocal' preferences. In the chicken game a symmetric correlated strategy profile is played that is as efficient as the symmetric equilibrium. Among preferences only pure 'hawkish' preferences and 'selfish' preferences survive. With incomplete information, the symmetric equilibrium of the material payoff game is played. All types of preferences are present in the population in the medium run.

Suggested Citation

  • Possajennikov, Alexandre, 2002. "Cooperative prisoners and aggressive chickens : evolution of strategies and preferences in 2x2 games," Papers 02-04, Sonderforschungsbreich 504.
    • Handle: RePEc:mnh:spaper:2798
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    File URL: https://madoc.bib.uni-mannheim.de/2798/1/dp02_04.pdf
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    References listed on IDEAS

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    1. Robson, A.J., 1989. "Efficiency In Evolutionary Games: Darwin, Nash And Secret Handshake," Papers 89-22, Michigan - Center for Research on Economic & Social Theory.
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    3. 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.
    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.
    5. 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.
    6. 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.
    7. Heidrun C. Hoppe & Philippe Jehiel & Benny Moldovanu, 2006. "License Auctions and Market Structure," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(2), pages 371-396, June.
    8. 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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    Cited by:

    1. Friedman, Daniel & Singh, Nirvikar, 2009. "Equilibrium vengeance," Games and Economic Behavior, Elsevier, vol. 66(2), pages 813-829, July.
    2. Alex Possajennikov, 2004. "Two-Speed Evolution of Strategies and Preferences In Symmetric Games," Theory and Decision, Springer, vol. 57(3), pages 227-263, November.
    3. Sam Perlo-Freeman, 2006. "The Topology of Conflict and Co-operation," Working Papers 0609, Department of Accounting, Economics and Finance, Bristol Business School, University of the West of England, Bristol.

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    More about this item

    Keywords

    two-speed evolution ; simulations ; replicator dynamic;
    All these keywords.

    JEL classification:

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

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