在结构化人口中,持续的公共产品游戏的进化动态
Jing Luo1, Duozi Lin1, Xiaojie Chen1
1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China.
Chaos (Woodbury, N.Y.)
|April 8, 2025
概括
本研究探讨了结构化群体内的多玩家公共产品游戏中的合作. 我们发现,不同的效益功能导致合作投资的不同进化结果,这对理解社会行为有影响.
科学领域:
- 进化游戏理论 进化游戏理论
- 行为经济学是一种行为经济学.
- 人口动态 人口动态
背景情况:
- 以前对进化游戏动态的研究主要集中在两人之间的互动.
- 现实世界的场景往往涉及群体互动,使得多人游戏对于理解合作至关重要.
- 公共产品游戏是研究具有多种利益功能的多人互动的一个关键模型.
研究的目的:
- 调查结构化群体内的连续公共产品游戏合作的进化动态.
- 分析不同福利函数 (线性,和性,西格莫体) 对合作社投资的影响.
- 为了获得入侵适应能力的分析表达式,并探索适应动态.
主要方法:
- 采用对近似方法来导出入侵适应性的分析表达式.
- 分析了不同利益函数下的合作投资的适应动态.
- 利用基于个体的模拟来验证理论发现.
主要成果:
- 对于线性收益函数,合作投资根据收益与成本的比率演变为极端 (最大或最小).
- 和效益函数显示出一种进化稳定的策略 (ESS) 的潜力.
- 西格受益功能表现出取决于值的结果,导致独特的ESS,ESS和驱逐者的共存,或独特的驱逐者.
结论:
- 在公共产品游戏中合作的进化轨迹对特定的利益功能和人口结构非常敏感.
- 分析和模拟结果提供了对多人连续游戏中的合作动态的全面了解.
- 这项研究提供了关于社会行为在复杂的群体环境中的演变的见解.
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