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Persistent ideologies in an evolutionary setting

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  • Lars P. Koch

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    (Institute of Mathematical Economics, Bielefeld University)

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    Abstract

    We analyse finite two player games in which agents maximize given arbitrary private payoffs which we call ideologies. We define an equilibrium concept and prove existence. Based on this setup, a monotone evolutionary dynamic governs the distribution of ideologies within the population. For any finite 2 player normal form game we show that there is an open set of ideologies being not equivalent to the objective payoffs that is not selected against by evolutionary monotonic dynamics. If the game has a strict equilibrium set, we show stability of non-equivalent ideologies. We illustrate these results for generic 2 x 2-games.

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    File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-402.pdf
    File Function: First version, 2008
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    Bibliographic Info

    Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 402.

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    Length: 27 pages
    Date of creation: Oct 2008
    Date of revision:
    Handle: RePEc:bie:wpaper:402

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    Keywords: dynamic stability; evolution of preferences; imitation dynamics;

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    1. Joerg Oechssler & Frank Riedel, 1998. "Evolutionary Dynamics on Infinite Strategy Spaces," Game Theory and Information 9805002, EconWPA, revised 12 May 1998.
    2. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer, vol. 32(2), pages 251-286, August.
    3. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
    4. 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.
    5. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
    6. 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.
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