时间成本、多人雪堆博弈与合作演化研究

郑月龙,张卫国

系统科学与数学 ›› 2016, Vol. 36 ›› Issue (11) : 1933-1944.

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PDF(651 KB)
系统科学与数学 ›› 2016, Vol. 36 ›› Issue (11) : 1933-1944. DOI: 10.12341/jssms12962
论文

时间成本、多人雪堆博弈与合作演化研究

    郑月龙1,张卫国2
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TIME COST、N-PERSON SNOWDRIFT GAMES AND COOPERATIVE EVOLUTION

    Zheng Yuelong1 , Zhang Weiguo2
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摘要

在全混合群体下, 从现有雪堆模型抑制合作的不足出发, 建立一个考虑时间成本的更一般化的多人雪堆模型, 对多人合作的演化动态进行了分析. 结果表明: 临界值~M 的存在使系统呈现~U 型的合作动态, 存在一个不稳定均衡点将其划分为两个吸引盆, 其规模越大集体合作协调越困难, 群体规模亦对群体合作行为产生抑制作用, 时间成本可通过放大代理人的损益变量来影响代理人的决策行为, 其与收益成本比对合作行为涌现均发挥积极作用, 由于收益成本比相对固定, 时间成本可替代其成为抵消上述抑制合作的因素的主要力量, 进而使多人合作行为的涌现成为可能.

Abstract

Under well-maxed population, we explore a Generalized N-person Snowdrift Games (GNSG) via incorporating time cost into the existing model in order to analyze N-person cooperation evolutionary dynamic. The study argues that the existence of threshold below which collective action can't be materialized provides a sufficient conditions for a completely U-style evolutionary dynamic, there is a unstable equilibrium which divides the system into two basins of attraction, the relative scale of each basins of attraction reflects the difficult to achieve a collection coordination, the group size also restrains emergence of cooperation. Time cost, which promotes cooperation at the same direction, can affect agents' cooperation behavior via magnifying their gain or loss variables. Due to the benefit-cost ratio relatively fixed, time cost can become the main power of eliminating the unfavorable factors to collective cooperation mentioned above, and then making the emergence of cooperative behavior become possible.

关键词

雪堆博弈 / 时间成本 / 多人合作 / 演化博弈理论.

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郑月龙 , 张卫国. 时间成本、多人雪堆博弈与合作演化研究. 系统科学与数学, 2016, 36(11): 1933-1944. https://doi.org/10.12341/jssms12962
Zheng Yuelong , Zhang Weiguo. TIME COST、N-PERSON SNOWDRIFT GAMES AND COOPERATIVE EVOLUTION. Journal of Systems Science and Mathematical Sciences, 2016, 36(11): 1933-1944 https://doi.org/10.12341/jssms12962
中图分类号: 91A06    91D30    91A22   
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