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Article type: Research Article
Authors: Jiang, Bichuan; * | Shu, Lan
Affiliations: School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P. R. China
Correspondence: [*] 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: 981937548@qq.com.
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.
Keywords: Interval-valued functions, death-birth process, fixation probability, evolutionary dynamics
DOI: 10.3233/JIFS-202774
Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 5, pp. 10087-10098, 2021
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