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Persistent ideologies in an evolutionary setting

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Author Info
Lars P. Koch () (Institute of Mathematical Economics, Bielefeld University)
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 Format: application/pdf
File Function: First version, 2008
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Publisher Info
Paper provided by Bielefeld University, Institute of 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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Related research
Keywords: dynamic stability; evolution of preferences; imitation dynamics;

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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  1. 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. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
  3. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2007. "The Dynamic Evolution of Preferences," Economic Theory, Springer, vol. 32(2), pages 251-286, August. [Downloadable!] (restricted)
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  4. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August. [Downloadable!] (restricted)
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