异质Erd?s-Rényi随机超网络上的演化博弈  

Evolutionary games on heterogeneous Erd?s-Rényi random hypernetworks

作　　者：王浩羽 刘兴文[1] 吴琼[1] WANG Hao-yu;LIU Xing-wen;WU Qiong(School of Electrical Engineering,Southwest Minzu University,Chengdu 610200,China)

机构地区：[1]西南民族大学电气工程学院,四川成都610200

出　　处：《西南民族大学学报（自然科学版）》2023年第4期463-472,共10页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(62073270);四川省教育厅创新团队项目(15TD0050);西南民族大学研究生创新型科研项目(CX2021SZ30)。

摘　　要：提出了一种异质Erd9s-Rényi (ER)随机超网络.与传统同质ER随机超网络相比,异质ER随机超网络具有两个重要优点:能更有效地描述现实世界中的多层级结构和复杂关系,避免了孤立点的出现.同时,改进了传统同质ER随机超网络的构造方法,以避免出现孤立点.研究了在两种新的ER随机超网络上的演化博弈,采用了两种策略更新规则和一种博弈机制.实验揭示了以下结果:断连机制显著地促进了两种ER随机超网络的合作水平;基于两种策略更新规则,演化雪堆博弈的合作水平会随着成本效益比的增加而减小;虽然两种ER随机超网络的结构和性质是不同的,但是在其他参数相同的情况下,两种演化博弈的合作水平在两种网络上是相似的.A Heterogeneous Erd9s-Rényi random hypernetworks(ERRHNs)was proposed,and,compared with homogeneous ERRHNs presented recently,it had two conspicuous advantages:Being capable of describing multilayer structures and complex relationships in the real world,and excluding isolated points on networks.Evolutionary games on heterogeneous ERRHNs were studied,involving the snowdrift game,the win-stay-lose-shift rule and the disconnection mechanism.Simulations revealed the following three results:Disconnection mechanism could significantly promote the cooperation level on both heterogeneous and homogeneous ERRHNs;On both ERRHNs,the cooperation level gradually decreased as cost-benefit ratio increased and kept relatively high even when cost-benefit ratio was large when the win-stay-lose-shift rule was adopted,which was different from the result of the same games performed on regular lattice;Though heterogeneous and homogeneous ERRHNs had very different structures,cooperation level of evolutionary games on these two ERRHNs were,unexpectedly,similar for various parameters.

关 键 词：合作水平 Erd9s-Rényi随机超网络 演化博弈 囚徒困境博弈 雪堆博弈 

分 类 号：O225[理学—运筹学与控制论]