Fixation probabilities in evolutionary games with the Moran and Fermi processes

被引：19

作者：

Liu, Xuesong ^{[1
]}

Pan, Qiuhui ^{[1
,2
]}

Kang, Yibin ^{[1
]}

He, Mingfeng ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, Sch Innovat Expt, Dalian 116024, Peoples R China

来源：

JOURNAL OF THEORETICAL BIOLOGY | 2015年 / 364卷

关键词：

Evolutionary game dynamics; Evolution of co-operation; Stochastic dynamics; Fixation events; PRISONERS-DILEMMA; COOPERATION; SELECTION; DYNAMICS;

D O I：

10.1016/j.jtbi.2014.08.047

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

An evolutionary dynamic model of 2 x 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. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：242 / 248

页数：7

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