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Zones of Cooperation in Demographic Prisoner's Dilemma

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  • Joshua M. Epstein

Abstract

The emergence of cooperation in Prisoner's Dilemma (PD) games is generally assumed to require repeated play (and strategies such as Tit-For-Tat, involving memory of previous interactions) or features ("tags") permitting cooperators and defectors to distinguish one another. In the Demographic Prisoner's Dilemma, neither assumption is made: agents with finite vision move to random sites on a lattice and play a fixed culturally-inherited zero-memory strategy of cooperate (C) or defect (D) against neighbors. Agents are indistinguishable to one another--they are "tagless". Positive payoffs accrue to agents playing C against C, or D against C. Negative payoffs accrue to agents playing C against D, or D against D. Payoffs accumulate. If accumulated payoffs exceed some threshold, agents clone offspring of the same strategy onto neighboring sites and continue play. If accumulated payoffs are negative, agents die and are removed. Spatial zones of cooperation emerge.

Suggested Citation

  • Joshua M. Epstein, 1997. "Zones of Cooperation in Demographic Prisoner's Dilemma," Working Papers 97-12-094, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:97-12-094
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    Cited by:

    1. Roger Waldeck, 2016. "Modeling criminality: the impact of emotions, norms and interaction structures," Computational and Mathematical Organization Theory, Springer, vol. 22(2), pages 135-160, June.
    2. Pedro Ribeiro de Andrade & Antonio Miguel Vieira Monteiro & Gilberto Câmara & Sandra Sandri, 2009. "Games on Cellular Spaces: How Mobility Affects Equilibrium," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 12(1), pages 1-5.
    3. Michael D. Cohen & Rick L. Riolo & Robert Axelrod, 1999. "The Emergence of Social Organization in the Prisoner's Dilemma: How Context-Preservation and Other Factors Promote Cooperation," Working Papers 99-01-002, Santa Fe Institute.

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    Keywords

    Eeconomics;

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