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

Kyle Weishaar and Igor V. Erovenko
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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

Games, 2022, vol. 13, issue 3, 1-16

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.

Keywords: evolution of cooperation; public goods game; structured population (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2022
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