Stability analysis of game models with fixed and stochastic delays

作者：

Highlights：

• The three-strategy game model with continuous distributed time delay is analyzed.

• The two-community three-strategy games with two delays is discussed.

• The existence of Hopf bifurcation in replicator equation is proved.

• The rock-paper-scissors game is simulated as an example.

摘要

•The three-strategy game model with continuous distributed time delay is analyzed.•The two-community three-strategy games with two delays is discussed.•The existence of Hopf bifurcation in replicator equation is proved.•The rock-paper-scissors game is simulated as an example.

论文关键词：Evolutionary games,Time delay,Stability,Kernel function,Hopf bifurcation

论文评审过程：Received 18 April 2022, Revised 11 July 2022, Accepted 4 August 2022, Available online 18 August 2022, Version of Record 18 August 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127473