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Evolutionary Dynamics in Game-Theoretic Models

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  • Kristian Lindgren

Abstract

A number of evolutionary models based on the iterated Prisoner's Dilemma with noise are discussed. Different aspects of the evolutionary behaviour are illustrated (i) by varying the trickiness of the game (iterated game, mistakes, misunderstandings, choice of payoff matrix), (ii) by introducing spatial dimensions, and (iii) by modifying the strategy space and the representation of strategies. One of the variations involves the finitely iterated game, that has a unique Nash equilibrium of only defecting strategies, and it is illustrated that when a spatial dimension is added, evolution usually avoids this state. The finite automaton representation of strategies is also revisited, and one model shows an evolution of a very robust error-correcting strategy for the Prisoner's Dilemma game.

Suggested Citation

  • Kristian Lindgren, 1996. "Evolutionary Dynamics in Game-Theoretic Models," Working Papers 96-06-043, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:96-06-043
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    References listed on IDEAS

    as
    1. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
    2. Hofbauer, Josef & Weibull, Jorgen W., 1996. "Evolutionary Selection against Dominated Strategies," Journal of Economic Theory, Elsevier, vol. 71(2), pages 558-573, November.
    3. Stanley, E. Ann & Ashlock, Dan & Tesfatsion, Leigh, 1993. "Iterated Prisoner's Dilemma with Choice and Refusal of Partners," ISU General Staff Papers 199302010800001028, Iowa State University, Department of Economics.
    4. Per Molander, 1985. "The Optimal Level of Generosity in a Selfish, Uncertain Environment," Journal of Conflict Resolution, Peace Science Society (International), vol. 29(4), pages 611-618, December.
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    Cited by:

    1. Victor Dorofeenko & Jamsheed SHORISH, 2002. "Dynamical Modeling of the Demographic Prisoner’s Dilemma," Computing in Economics and Finance 2002 266, Society for Computational Economics.
    2. Hokky Situngkir, 2004. "The Structural Dynamics of Corruption: Artificial Society Approach," Computational Economics 0405002, University Library of Munich, Germany.

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