Markov微分博弈模型及其在网络安全中的应用

当前基于博弈理论的网络安全研究成果难以应用于实时、连续、随机对抗的网络攻防过程.本文针对网络安全防御的实时性和网络状态变化的随机性，基于动态、实时对抗的视角分析攻防行为，在结合微分博弈模型和Markov决策方法的基础上进行扩展，构建Markov攻防微分博弈模型，分析具有多个阶段且每阶段持续时间较短的攻防过程；提出多阶段博弈均衡解计算方法，设计多阶段最优防御策略选取算法.仿真实验结果表明，模型和算法有效且可行.

Markov Differential Game Model and Its Application in Network Security

The current research of network security based on game theory fails to analyze the real-time,continuous,and random network attack and defense process.For the randomness of security states and the real-time character of network defense decision-making,we analyzed the network attack and defense behaviors from the view of dynamic and real-time confrontation.Then we combined and extended the differential game model and Markov decision-making method.On these basis,a Markov attack-defense differential game model is constructed,which can be adopted to analyze the multi-stage attack and defense process with short duration in each stage.Besides,a multi-stage game equilibrium solution is proposed,and an optimal defense strategy selection algorithm is designed.Finally,the experiments demonstrate that the model and method proposed in this paper are valid.