The role of pairwise nonlinear evolutionary dynamics in the rock–paper–scissors game with noise

作者：

Highlights：

• We build a pairwise (PW) nonlinear fermi dynamics to study the rock-paper-scissors game's under evolutionary dynamics.

• The model also investigates the effect of environmental noise and demographic noise.

• We perform analytical analysis and numerical simulation to show the impact of linear and nonlinear to explore the noise effect.

• Both linear and non-linear dynamics show comparable stability equilibria.

摘要

•We build a pairwise (PW) nonlinear fermi dynamics to study the rock-paper-scissors game's under evolutionary dynamics.•The model also investigates the effect of environmental noise and demographic noise.•We perform analytical analysis and numerical simulation to show the impact of linear and nonlinear to explore the noise effect.•Both linear and non-linear dynamics show comparable stability equilibria.

论文关键词：Rock-paper-scissors,Nonlinear benefit,Fermi rule,Mutation,Noises

论文评审过程：Received 21 August 2020, Revised 5 October 2020, Accepted 25 October 2020, Available online 2 December 2020, Version of Record 2 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125767