基于改进复制动态演化博弈模型的最优防御策略选取Improving.PDFVIP

第 39 卷第 1 期 通 信 学 报 Vol.39 No.1 2018 年 1 月 Journal on Communications January 2018 基于改进复制动态演化博弈模型的最优防御策略选取 1,2 1,2 黄健明 ，张恒巍 （1.信息工程大学三院，河南 郑州 450001 ；2. 数学工程与先进计算国家重点实验室，河南 郑州 450001 ） 摘 要：针对同一博弈群体之间存在策略依存性，通过引入激励系数，改进传统复制动态方程，完善复制动态速 率计算方法，构建基于改进复制动态的网络攻防演化博弈模型。利用改进复制动态方程进行演化均衡求解，采用 雅可比矩阵的局部稳定分析法对所求均衡点进行稳定性分析，得到不同条件下的最优防御策略。研究结果表明， 同一群体的不同策略之间既存在促进作用，也存在抑制作用。通过实验仿真验证了所提模型和方法的准确性和有 效性，为解决现实社会中的信息安全问题提供了新的理论支撑。 关键词：策略依赖性；激励系数；改进复制动态；复制动态速率；雅可比矩阵；最优防御策略 中图分类号：TP390 文献标识码：A doi: 10.11959/j.issn.1000-436x.2018010 Improving replicator dynamic evolutionary game model for selecting optimal defense strategies HUANG Jianming1,2, ZHANG Hengwei1,2 1. The Third College, Information Engineering University, Zhengzhou 450001, China 2. State Key Laboratory of Mathematical Engineering and Advanced Computing, Zhengzhou 450001, China Abstract: In terms of the existence of strategy dependency in the same game group, network attack-defense evolutionary game model based on the improved replicator dynamics was constricted by introducing the intensity coefficient, which completed the method of calculating replicator dynamic rate. The improved replicator dynamic equation was adopted to solve the evolutionary equilibrium for the situation that both attack and defense have two optional strategies. The stability of the equilibrium points was analyzed by the local stability analysis method of Jacobian matrix, and the optimal defense strategies were obtained under different conditi