Reduced population viscosity in spatially disordered, triple strategy prisonera's dilemma games

Kevin Pimbblet

    Research output: Contribution to journalArticleResearchpeer-review

    Abstract

    Altruism in selfish groups of individuals has been explained using game theory. In this work, cooperation within a spatial evolutionary prisonera s dilemma game is studied with three strategies: cooperation, defection or Tit-for-Tat. By imposing the condition of a site diluted lattice and relaxing the condition of strong population viscosity, the emergence of cooperating and defecting island universes is observed. Under a softer condition of movement such that players may move to a lattice site of at least equal payoff we find that these defecting islands become inherently unstable and dissociate to invade the rest of the system. This subsequently leads to a re-emergence of cooperation in the entire system as the Tit-for-Tat strategies knockout any rampant unconditional defection strategies. These results are interpreted suggestively in the context of biology and sociology.
    Original languageEnglish
    Pages (from-to)117 - 122
    Number of pages6
    JournalResearch Journal of Mathematics and Statistics
    Volume3
    Issue number3
    Publication statusPublished - 2011

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