A finite population destroys a traveling wave in spatial replicator dynamics

Christopher Griffin, Riley Mummah, Russ deForest

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Article number110847
JournalChaos, Solitons and Fractals
Volume146
DOIs
StatePublished - May 2021

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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