Multi-player games on the cycle.

Multi-player games on the cycle.
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DOI:
10.1016/j.jtbi.2011.08.031
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发表时间:
2012-01-07
影响因子:
2
通讯作者:
Nowak, Martin A.
Nowak, Martin A.
中科院分区:
生物学4区
文献类型:
--
作者:
van Veelen, Matthijs;Nowak, Martin A.

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在多人游戏中,n个人在任何一次遭遇中进行互动,并从这种互动中获得回报。我们假设个人采用两种策略中的一种,我们考虑对称博弈,这意味着回报只取决于使用这两种策略的玩家的数量,而不取决于遭遇的任何特定配置。在循环中,我们假设任何n个相邻玩家串相互作用。我们研究了随机演化动力学的固定概率。我们得到了对任意选择强度的线性和指数适合度周期的分析结果,并将这些结果与混合良好的总体的结果进行了比较。作为特例,我们研究了多人公共物品博弈、猎鹿博弈和雪堆博弈。
In multi-player games n individuals interact in any one encounter and derive a payoff from that interaction. We assume that individuals adopt one of two strategies, and we consider symmetric games, which means the payoff depends only on the number of players using either strategy, but not on any particular configuration of the encounter. On the cycle we assume that any string of n neighbouring players interacts. We study fixation probabilities of stochastic evolutionary dynamics. We derive analytical results on the cycle both for linear and exponential fitness for any intensity of selection, and compare those to results for the well-mixed population. As particular examples we study multi-player public goods games, stag hunt games and snowdrift games.
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