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
收藏
页码：242 / 248
页数：7
相关论文
共 50 条
  • [1] Fixation times in evolutionary games with the Moran and Fermi processes
    Liu, Xuesong
    Pan, Qiuhui
    Kang, Yibin
    He, Mingfeng
    JOURNAL OF THEORETICAL BIOLOGY, 2015, 387 : 214 - 220
  • [2] Fixation of strategies with the Moran and Fermi processes in evolutionary games
    Liu, Xuesong
    He, Mingfeng
    Kang, Yibin
    Pan, Qiuhui
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 484 : 336 - 344
  • [3] Fixation probabilities for the Moran process in evolutionary games with two strategies: graph shapes and large population asymptotics
    de Souza, Evandro P.
    Ferreira, Eliza M.
    Neves, Armando G. M.
    JOURNAL OF MATHEMATICAL BIOLOGY, 2019, 78 (04) : 1033 - 1065
  • [4] Fixation probabilities for the Moran process in evolutionary games with two strategies: graph shapes and large population asymptotics
    Evandro P. de Souza
    Eliza M. Ferreira
    Armando G. M. Neves
    Journal of Mathematical Biology, 2019, 78 : 1033 - 1065
  • [5] Fixation of strategies driven by switching probabilities in evolutionary games
    Xu, Zimin
    Zhang, Jianlei
    Zhang, Chunyan
    Chen, Zengqiang
    EPL, 2016, 116 (05)
  • [6] Fixation probabilities of evolutionary coordination games on two coupled populations
    Zhang, Liye
    Ying, Limin
    Zhou, Jie
    Guan, Shuguang
    Zou, Yong
    PHYSICAL REVIEW E, 2016, 94 (03)
  • [7] Approximating Fixation Probabilities in the Generalized Moran Process
    Josep Díaz
    Leslie Ann Goldberg
    George B. Mertzios
    David Richerby
    Maria Serna
    Paul G. Spirakis
    Algorithmica, 2014, 69 : 78 - 91
  • [8] Approximating Fixation Probabilities in the Generalized Moran Process
    Diaz, Josep
    Goldberg, Leslie Ann
    Mertzios, George B.
    Richerby, David
    Serna, Maria
    Spirakis, Paul G.
    ALGORITHMICA, 2014, 69 (01) : 78 - 91
  • [9] From Fixation Probabilities to d-player Games: An Inverse Problem in Evolutionary Dynamics
    Chalub, Fabio A. C. C.
    Souza, Max O.
    BULLETIN OF MATHEMATICAL BIOLOGY, 2019, 81 (11) : 4625 - 4642
  • [10] From Fixation Probabilities to d-player Games: An Inverse Problem in Evolutionary Dynamics
    Fabio A. C. C. Chalub
    Max O. Souza
    Bulletin of Mathematical Biology, 2019, 81 : 4625 - 4642
12345