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空间博弈中的合作与年龄结构

Cooperation and age structure in spatial games.

作者信息

Wang Zhen, Wang Zhen, Zhu Xiaodan, Arenzon Jeferson J

机构信息

School of Physics, Nankai University, Tianjin 300071, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jan;85(1 Pt 1):011149. doi: 10.1103/PhysRevE.85.011149. Epub 2012 Jan 31.

DOI:10.1103/PhysRevE.85.011149
PMID:22400554
Abstract

We study the evolution of cooperation in evolutionary spatial games when the payoff correlates with the increasing age of players (the level of correlation is set through a single parameter, α). The demographic heterogeneous age distribution, directly affecting the outcome of the game, is thus shown to be responsible for enhancing the cooperative behavior in the population. In particular, moderate values of α allow cooperators not only to survive but to outcompete defectors, even when the temptation to defect is large and the ageless, standard α=0 model does not sustain cooperation. The interplay between age structure and noise is also considered, and we obtain the conditions for optimal levels of cooperation.

摘要

我们研究了在进化空间博弈中合作的演变,此时收益与玩家年龄的增长相关(相关程度通过单个参数α设定)。人口统计学上的异质年龄分布直接影响博弈结果,因此被证明是增强群体中合作行为的原因。特别是,α的适度值不仅能让合作者生存,还能使其胜过背叛者,即使背叛的诱惑很大,且无年龄因素的标准α = 0模型无法维持合作。我们还考虑了年龄结构与噪声之间的相互作用,并得出了合作最优水平的条件。

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