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Games 2019, 10(1), 2; https://doi.org/10.3390/g10010002

The Evolution of Cooperation in One-Dimensional Mobile Populations with Deterministic Dispersal

Department of Mathematics, University of North Carolina at Greensboro, Greensboro, NC 27402, USA
Received: 23 October 2018 / Revised: 22 December 2018 / Accepted: 28 December 2018 / Published: 1 January 2019
(This article belongs to the Special Issue Evolutionary Ecology and Game Theory)
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Abstract

I investigate how different dispersal patterns affect the evolution of cooperation in a spatially-structured population. I consider a finite fixed-size population of cooperators and free-riders residing on a one-dimensional lattice with periodic boundaries. Individuals interact via a multiplayer game, which is a version of a public goods game, and the population evolves via a Moran process. Individuals try to improve their interactions by evaluating the current state of the environment and moving to locations with better payoffs. I ran stochastic simulations of the evolution of this Markov process and found that if individuals disperse deterministically to locations with the best payoffs, then cooperation can still be maintained even in the worst-case scenarios, albeit at reduced levels compared to the better-case scenarios. This contrasts with an earlier investigation of probabilistic dispersal patterns, which resulted in the breakdown of cooperation in sparse populations with small interaction neighborhoods, a high mobility rate, and a large dispersal range. View Full-Text
Keywords: evolution of cooperation; spatial structure; mobility; stochastic simulation evolution of cooperation; spatial structure; mobility; stochastic simulation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Erovenko, I.V. The Evolution of Cooperation in One-Dimensional Mobile Populations with Deterministic Dispersal. Games 2019, 10, 2.

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