Abstract
In recent years, evolutionary game theory has been gradually applied to analyze and predict network attack and defense for maintaining cybersecurity. The traditional deterministic game model cannot accurately describe the process of actual network attack and defense due to changing in the set of attack-defense strategies and external factors (such as the operating environment of the system). In this paper, we construct a stochastic evolutionary game model by the stochastic differential equation with Markov property. The evolutionary equilibrium solution of the model is found and the stability of the model is proved according to the knowledge of the stochastic differential equation. And we apply the explicit Euler numerical method to analyze the evolution of the strategy selection of the players for different problem situations. The simulation results show that the stochastic evolutionary game model proposed in this paper can get a steady state and obtain the optimal defense strategy under the action of the stochastic disturbance factor. In addition, compared with other kinds of literature, we can conclude that the return on security investment of this model is better, and the strategy selection of the attackers and defenders in our model is more suitable for actual network attack and defense.
Highlights
With the development of the Internet, the security of the network and the privacy of users have been greatly disturbed. erefore, the issues of cybersecurity have caused people’s high attention. e security of the Internet has become one of the important factors hindering the development of information technology
We deploy a network topology environment to simulate the network attack and defense evolution game model proposed in this paper. e validity of the model is proved by analyzing the evolutionary stability strategy
We construct a stochastic differential game model in network attack and defense by using stochastic differential equations based on Markov property
Summary
With the development of the Internet, the security of the network and the privacy of users have been greatly disturbed. erefore, the issues of cybersecurity have caused people’s high attention. e security of the Internet has become one of the important factors hindering the development of information technology. For the interaction between attackers and defenders, the stochastic game model is proposed to select the optimal defense strategy and protect the network. Network Attack and Defense Stochastic Differential Game Model e attack and defense groups choose different strategies for the game based on the incomplete rationality of attackers and defenders Both sides constantly try to adjust and improve their decision-making methods in the process of attack and defense and form a new situation of the game . Dθ1(t)dθ2(t) dt, where dθ1(t)dθ2(t) represents the Wiener process; it has Markov property
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