Evolutionary game dynamics of Moran process with fuzzy payoffs and its application

作者：

Highlights：

• In this paper, 2 × 2 symmetric games in which the game payoff matrix is represented by fuzzy numbers were studied.

• We introduce the fuzzy dilemma strength to classify fuzzy games.

• The fuzzy fixation probability of the strategy is calculated when the game payoff matrix is represented by the normal fuzzy numbers.

• The proposed fuzzy Moran model was applied to solve the problem of strategy selection in the interaction between pollution-producing enterprises.

摘要

•In this paper, 2 × 2 symmetric games in which the game payoff matrix is represented by fuzzy numbers were studied.•We introduce the fuzzy dilemma strength to classify fuzzy games.•The fuzzy fixation probability of the strategy is calculated when the game payoff matrix is represented by the normal fuzzy numbers.•The proposed fuzzy Moran model was applied to solve the problem of strategy selection in the interaction between pollution-producing enterprises.

论文关键词：Normal fuzzy number,Fuzzy Moran process,Fuzzy fixation probability,Fuzzy dilemma strength,Pollution-producing enterprises

论文评审过程：Received 26 November 2019, Revised 11 February 2020, Accepted 15 March 2020, Available online 4 April 2020, Version of Record 4 April 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125227