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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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    Cited by:

    1. Hajikhameneh, Aidin & Iannaccone, Laurence R., 2025. "From shocks to solidarity and superstition: Exploring the foundations of faith," Journal of Economic Behavior & Organization, Elsevier, vol. 229(C).

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    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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