Affiliations: School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P. R. China
Correspondence:
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Corresponding author. Bichuan Jiang, School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China. Tel.: +86-18996243864; E-mail: [email protected].
Abstract: In this paper, we study the evolutionary game dynamics of the death-birth process with interval payoffs on graphs. First of all, we derive the interval replication dynamic equation. Secondly, we derive the fixation probability of the B-C prisoner’s dilemma game based on the death-birth process under the condition of weak selection, analyze the condition of the strategy fixed in the population, that is the condition of strategy A being dominant is analyzed. So we can judge whether natural selection is beneficial to strategy A in the game process through this condition. Finally, the feasibility of this method is verified by several examples.
