Modeling and Strategy Consensus of Networked Evolutionary Games with Random Variations of Payoff

This paper studies a kind of networked evolutionary games (NEGs) with random variations of payoff (RVP). The strategy update rule is unconditional imitation rule. Firstly, a procedure is proposed to model the NEGs with RVP. Secondly, a criterion is given for the finite-time strategy consensus of NEGs with probability one. Thirdly, the robustness analysis is carried out for the strategy profile dynamics in a particular anti-coordination game. Finally, several examples are proposed to illustrate the primary results.