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The Evolution of Cooperation in Two-Dimensional Mobile Populations with Random and Strategic Dispersal

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  • Kyle Weishaar

    (Department of Applied Mathematics, University of Colorado Boulder, Boulder, CO 80309, USA)

  • Igor V. Erovenko

    (Department of Mathematics and Statistics, University of North Carolina at Greensboro, Greensboro, NC 27402, USA)

Abstract

We investigate the effect of the environment dimensionality and different dispersal strategies on the evolution of cooperation in a finite structured population of mobile individuals. We consider a population consisting of cooperators and free-riders residing on a two-dimensional lattice with periodic boundaries. Individuals explore the environment according to one of the four dispersal strategies and interact with each other via a public goods game. The population evolves according to a birth–death–birth process with the fitness of the individuals deriving from the game-induced payouts. We found that the outcomes of the strategic dispersal strategies in the two-dimensional setting are identical to the outcomes in the one-dimensional setting. The random dispersal strategy, not surprisingly, resulted in the worst outcome for cooperators.

Suggested Citation

  • Kyle Weishaar & Igor V. Erovenko, 2022. "The Evolution of Cooperation in Two-Dimensional Mobile Populations with Random and Strategic Dispersal," Games, MDPI, vol. 13(3), pages 1-16, May.
    • Handle: RePEc:gam:jgames:v:13:y:2022:i:3:p:40-:d:819691
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    References listed on IDEAS

    as
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