title: Fixation probabilities in evolutionary games with the Moran and Fermi processes.
abstract: An evolutionary dynamic model of 2×2 games with finite population of size N+M was built. Among these individuals, N individuals have the same update mechanism as that of the Moran process, while the other M individuals have the same update mechanism as that of the Fermi process. We obtain the balance equations of the fixation probability and analyze some concrete cases. In contrast with the results of neutral evolution, the fixation probability of a single co-operator with the same update mechanism as that of the Fermi process is higher. Besides, more co-operators with the update mechanism of the Fermi process lead to higher fixation probabilities when co-operators׳ quantity is the same.
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China.
authors.forename: Xuesong
authors.initials: X
authors.lastname: Liu
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China; School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China.
authors.forename: Qiuhui
authors.initials: Q
authors.lastname: Pan
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China.
authors.forename: Yibin
authors.initials: Y
authors.lastname: Kang
authors.affiliation: School of Mathematical Science, Dalian University of Technology, Dalian 116024, China. Electronic address: mfhe@dlut.edu.cn.
authors.forename: Mingfeng
authors.initials: M
authors.lastname: He
mesh_terms: D005075:Biological Evolution; D003142:Communication; D003299:Cooperative Behavior; D005716:Game Theory; D040961:Genetic Drift; D006801:Humans; D008954:Models, Biological; D008957:Models, Genetic; D011336:Probability; D013269:Stochastic Processes
keywords: Evolution of co-operation; Evolutionary game dynamics; Fixation events; Stochastic dynamics