Dynamical Modeling of the Demographic Prisoner’s Dilemma
AbstractEpstein (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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Bibliographic InfoPaper provided by Society for Computational Economics in its series Computing in Economics and Finance 2002 with number 266.
Date of creation: 01 Jul 2002
Date of revision:
prisoner's dilemma; active media; reaction-diffusion; overlapping-generations;
Other versions of this item:
- Dorofeenko, Victor & Shorish, Jamsheed, 2002. "Dynamical Modeling of the Demographic Prisoner's Dilemma," Economics Series 124, Institute for Advanced Studies.
- 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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- Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, June.
- Kristian Lindgren, 1996. "Evolutionary Dynamics in Game-Theoretic Models," Working Papers 96-06-043, Santa Fe Institute.
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