Modelling the effects of selection temperature and mutation on the prisoner's dilemma game on a complete oriented star.

Modelling the effects of selection temperature and mutation on the prisoner's dilemma game on a complete oriented star.
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模拟选择温度和突变对完全定向恒星囚徒困境博弈的影响

DOI:
10.1371/journal.pone.0107417
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Xu Y
Xu Y
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Ren J;Xu Y

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建立了完全有向星星(COS)上有限种群中基于两两比较的囚徒困境博弈模型。首先,我们推导出一个线性系统上的COS计算相应的固定概率,这意味着依赖的选择温度和突变。在此基础上,我们观察并分析了两个参数在不同种群规模下对注视概率的影响。实验结果表明:(1)随着群体规模的增加,高突变对固定概率的影响比低突变更敏感,而随着合作者数目的增加,情况则相反;(2)选择温度降低了固定概率。
This paper models the prisoner’s dilemma game based on pairwise comparison in finite populations on a complete oriented star (COS). First, we derive a linear system on a COS for calculating the corresponding fixation probabilities that imply dependence of the selection temperature and mutation. Then we observe and analyze the effects of two parameters on fixation probability under different population sizes. In particular, it is found through the experimental results that (1) high mutation is more sensitive to the fixation probability than the low one when population size is increasing, while the opposite is the case when the number of cooperators is increasing, and (2) selection temperature demotes the fixation probability.
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