Evolutionary dynamics of stochastic games in set-structured populations.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2024-11-01 DOI:10.1063/5.0222688
Meng Gao, Zhi Li, Te Wu
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Abstract

In structured populations, the ecology of games may vary over neighborhoods. The effect of the ecological variations on population dynamics remains largely unknown. We here incorporate the ecological variations into the set-structured populations to explore the coevolutionary dynamics of the ecology and cooperation. Individuals of a population are distributed over sets. Interactions occur in the form of evolutionary games. When two individuals share more common sets, they play the weak prisoner's dilemma. Otherwise, they play the strong prisoner's dilemma. Both the set memberships and the strategy update in the evolutionary process. Changes in set memberships hold sway over the games to be played, which, in turn, influences the performance of strategies. Combining evolutionary set theory and random walks on graphs, we derived the conditions for cooperation to be selected under the weak selection limit. We find that a denser set-structured population increases the probability of individuals participating in a weak prisoner's dilemma, and thereby promoting the spread of cooperation. Properly modulating the population structure and the payoff feedback can further lower the critical benefit-cost ratio required for cooperation to be selected. Our results may help better understand the effects of ecological variations in enhancing cooperative behavior in set-structured populations.

集合结构种群中随机博弈的进化动力学。
在结构化种群中,游戏生态可能会随着邻域的变化而变化。生态变化对种群动态的影响在很大程度上仍是未知的。我们在此将生态变化纳入集合结构种群,以探索生态与合作的共同演化动态。种群个体分布在集合上。相互作用以进化博弈的形式发生。当两个个体共享更多的共同集合时,他们就会玩弱囚徒困境游戏。否则,他们就会玩强囚徒困境。在演化过程中,集合成员和策略都会更新。集合成员的变化会对游戏产生影响,进而影响策略的表现。结合进化集合理论和图上随机漫步,我们推导出了在弱选择极限下选择合作的条件。我们发现,较密集的集合结构种群会增加个体参与弱囚徒困境的概率,从而促进合作的传播。适当调节种群结构和报酬反馈可以进一步降低合作被选择所需的临界收益-成本比。我们的研究结果可能有助于更好地理解生态变异对增强集合结构种群合作行为的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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