系统仿真学报 ›› 2017, Vol. 29 ›› Issue (2): 319-325.doi: 10.16182/j.issn1004731x.joss.201702011

• 仿真建模理论与方法 • 上一篇    下一篇

基于动态收益矩阵的成长网络合作演化仿真研究

辛琦1, 周晓2   

  1. 1.福建江夏学院经济贸易学院,福州 350108;
    2.福建江夏学院工商管理学院,福州 350108
  • 收稿日期:2016-01-07 修回日期:2016-04-13 出版日期:2017-02-08 发布日期:2020-06-01
  • 作者简介:辛琦(1975-),男,江西万载,博士,讲师,研究方向为网络演化博弈、计算机仿真;周晓(1978-),女,江西樟树,博士,讲师,研究方向为网络演化博弈。
  • 基金资助:
    福建省中青年教师教育科研项目(JB13193)

Simulation of Cooperative Evolution of Growing Network Based on Dynamic Payoff Matrices

Xin Qi1, Zhou Xiao2   

  1. 1. College of Economics and Trade, Fujian Jiangxia University, Fuzhou 350108, China;
    2. College of Business Administration, Fujian Jiangxia University, Fuzhou 350108, China
  • Received:2016-01-07 Revised:2016-04-13 Online:2017-02-08 Published:2020-06-01

摘要: 构建了一个基于动态收益矩阵的成长网络合作演化模型,考虑了个体及连边数量不断增加的网络结构演化和收益矩阵受环境影响不断改变的个体策略演化。该模型运用反馈机制使收益矩阵随网络环境发生改变,并结合反馈强度、初始背叛诱惑、节点平均度等参数对反馈机制在网络合作演化中的作用进行分析。数值仿真结果表明,根据文中所构建之模型成长起来的网络具有幂律分布特征;反馈机制的引入,有助于网络合作的演化,并且,反馈强度越大、初始背叛诱惑越大、节点平均度越大时,反馈机制的作用越明显。

关键词: 反馈机制, 动态收益, 网络成长, 合作演化

Abstract: A cooperative evolution model of growing network based on dynamic payoff matrices was built. The model involved network structure evolution caused by the increasing number of individuals and the links between them, and individual strategy evolution according to the changing payoff matrices. In this model, feedback mechanism was used to make payoff matrices vary with the network environment. And considering some parameters such as feedback intensity, the initial value of the temptation for defecting, average node degree, the effect of feedback mechanism on cooperative evolution of growing network was analyzed. Numerical simulation results show that the network grown up according to the model has the characteristic of power-law distribution; Feedback mechanism can effectively raise the rate of cooperation on network; and the lager the feedback intensity, the initial value of the temptation of defect and the average node degree is, the more effective feedback mechanism is.

Key words: feedback mechanism, dynamic payoff matrices, network growth, cooperative evolution

中图分类号: