A finite population destroys a traveling wave in spatial replicator dynamics

Christopher Griffin, Riley Mummah and Russ deForest

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: We derive both the finite and infinite population spatial replicator dynamics as the fluid limit of a stochastic cellular automaton. The infinite population spatial replicator is identical to the model used by Vickers and our derivation justifies the addition of a diffusion to the replicator. The finite population form generalizes the results by Durett and Levin on finite spatial replicator games. We study the differences in the two equations as they pertain to a one-dimensional rock-paper-scissors game.

Keywords: Spatial replicator; Finite population; Rock-paper-scissors; Traveling wave (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921002009

DOI: 10.1016/j.chaos.2021.110847

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