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Dynamical Modeling of the Demographic Prisoner’s Dilemma

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  • Victor Dorofeenko
  • Jamsheed SHORISH

Abstract

Epstein (1998) demonstrates that in the demographic Prisoner's Dilemma game it is possible to sustain cooperation in a repeated game played on a finite grid, where agents are spatially distributed and of fixed strategy type ('cooperate' or 'defect'). We introduce a methodology to formalize the dynamical equations for a population of agents distributed in space and in wealth, which form a system similar to the reaction-diffusion type. We determine conditions for stable zones of sustained cooperation in a one-dimensional version of the model. Defectors are forced out of cooperation zones due to a congestion effect, and accumulate at the boundaries.
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Suggested Citation

  • Victor Dorofeenko & Jamsheed SHORISH, 2002. "Dynamical Modeling of the Demographic Prisoner’s Dilemma," Computing in Economics and Finance 2002 266, Society for Computational Economics.
    • Handle: RePEc:sce:scecf2:266
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    References listed on IDEAS

    as
    1. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, April.
    2. Kristian Lindgren, 1996. "Evolutionary Dynamics in Game-Theoretic Models," Working Papers 96-06-043, Santa Fe Institute.
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    More about this item

    Keywords

    prisoner's dilemma; active media; reaction-diffusion; overlapping-generations;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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