Pairwise comparison and selection temperature in evolutionary game dynamics
Pairwise comparison and selection temperature in evolutionary game dynamics
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DOI：
10.1016/j.jtbi.2007.01.002
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发表时间：
2007-06-07
影响因子：
2
通讯作者：
Nowak, Martin A.
中科院分区：
文献类型：
--
作者：
Traulsen, Arne;Pacheco, Jorge M.;Nowak, Martin A.
最近，频率依赖的莫兰过程已被引入，以描述有限种群中的进化博弈动力学。在这里，这个过程的一种替代方法是基于两个人之间的成对比较。我们遵循物理界的悠久传统，引入了一个温度（选择）来解释随机效应。我们计算固定概率和固定时间为任何对称的2 × 2游戏，任何强度的选择和任何初始数量的突变体。温度可以用来连续地测量从中性漂移到被称为模仿动态的极端选择强度。对于某些支付矩阵，注视时间的分布可能变得如此广泛，以至于平均值不再有意义。(C)2007爱思唯尔有限公司保留所有权利。
Recently, the frequency-dependent Moran process has been introduced in order to describe evolutionary game dynamics in finite populations. Here, an alternative to this process is investigated that is based on pairwise comparison between two individuals. We follow a long tradition in the physics community and introduce a temperature (of selection) to account for stochastic effects. We calculate the fixation probabilities and fixation times for any symmetric 2 x 2 game, for any intensity of selection and any initial number of mutants. The temperature can be used to gauge continuously from neutral drift to the extreme selection intensity known as imitation dynamics. For some payoff matrices the distribution of fixation times can become so broad that the average value is no longer very meaningful. (C) 2007 Elsevier Ltd. All rights reserved.