Dynamical Modeling of the Demographic Prisoner's Dilemma
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...| Link(s) zu Dokument(en): | IHS Publikation |
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| Hauptverfasser: | , |
| Format: | IHS Series NonPeerReviewed |
| Sprache: | Englisch |
| Veröffentlicht: |
Institut für Höhere Studien
2002
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| Zusammenfassung: | 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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