在时间网络上的进化游戏的决定性理论
Xiaofeng Wang1,2, Feng Fu3,4, Long Wang5
1Department of Automation, School of Information Science and Technology, Donghua University , Shanghai 201620, People's Republic of China.
Journal of the Royal Society, Interface
|May 29, 2024
概括
这项研究介绍了时间网络上的进化游戏动态理论,揭示了间歇性的社会互动如何塑造战略进化,并导致像迷你终极游戏这样的游戏中的公平.
科学领域:
- 进化游戏理论 进化游戏理论
- 网络科学 网络科学
- 复杂的系统复杂的系统.
背景情况:
- 经验研究表明,在现实网络中,社会互动是间歇性的和连续的.
- 对时间网络上的进化动态缺乏理论框架.
- 了解动态社会结构中的战略演变至关重要.
研究的目的:
- 在时间网络上开发对游戏的进化动态的确定主义理论.
- 在暂时结构化的群体中推导出策略的进化稳定性条件.
- 分析网络时间性对游戏结果的影响,以迷你终极游戏为例.
主要方法:
- 在具有临时激活边缘的网络上开发进化动态的确定论理论.
- 在弱选择极限中导出类似复制器的方程.
- 分析一个转换的回报矩阵,结合网络拓和选择强度.
主要成果:
- 一个转换的回报矩阵决定了随着时间的推移变化的策略频率.
- 在时间网络上获得了进化稳定的关键条件.
- 应用到迷你最后通游戏中表明,时间网络促进了公平.
结论:
- 开发的理论提供了对时间网络上的进化游戏动态的见解.
- 网络拓和选择强度通过重新缩放的回报矩阵来调节进化结果.
- 时间网络结构可以推动合作或公平行为的出现.
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