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    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:大连工学院
    • 学位:学士
    • 所在单位:创新创业学院
    • 学科:应用数学
    • 电子邮箱:mfhe@dlut.edu.cn

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    Fixation times in evolutionary games with the Moran and Fermi processes

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    论文类型:期刊论文

    发表时间:2015-12-21

    发表刊物:JOURNAL OF THEORETICAL BIOLOGY

    收录刊物:SCIE、PubMed、Scopus

    卷号:387

    页面范围:214-220

    ISSN号:0022-5193

    关键字:Evolutionary game dynamics; Evolution of co-operation; Stochastic dynamics; Fixation time

    摘要:We combined the standard Moran and Fermi process into a mixed process with two strategies C (cooperation) and D (defection). In a well-mixed population of size N+M, N individuals have the same update mechanism as that of Moran process, while the other M individuals have the same update mechanism as that of Fermi process. We obtain the balance equations of the conditional fixation time and unconditional fixation time. What these equations are doing is to make numerical sense for all the figures. We find that the expectation values of conditional fixation times of a single co-operator are smaller than the average values of the standard Moran and Fermi process. In addition, the conditional fixation time of a single co-operator with update rule of Moran is larger than that of Fermi when the intensity of selection is sufficiently small. The simulation results show that the unconditional fixation time of a co-operator who obtains more information is smaller. In addition, the larger the difference of individuals' payoff, the smaller the unconditional fixation time. (C) 2015 Elsevier Ltd. All rights reserved.