Infrastructure networks are vulnerable to both cyber and physical attacks. Building a secure and resilient networked system is essential for providing reliable and dependable services. To this end, we establish a two-player three-stage game framework to capture the dynamics in the infrastructure protection and recovery phases. Specifically, the goal of the infrastructure network designer is to keep the network connected before and after the attack, while the adversary aims to disconnect the network by compromising a set of links. With costs for creating and removing links, the two players aim to maximize their utilities while minimizing the costs. In this paper, we use the concept of subgame perfect equilibrium (SPE) to characterize the optimal strategies of the network defender and attacker. We derive the SPE explicitly in terms of system parameters. We further investigate the resilience planning of the defender and the strategic timing of attack of the adversary. Finally, we use case studies of UAV-enabled communication networks for disaster recovery to corroborate the obtained analytical results.

中文翻译：

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安全弹性基础设施网络战略设计的动态博弈方法

基础设施网络容易受到网络和物理攻击。建立安全，有弹性的网络系统对于提供可靠和可靠的服务至关重要。为此，我们建立了一个两人三阶段游戏框架，以捕获基础架构保护和恢复阶段的动态。具体而言，基础架构网络设计人员的目标是在攻击之前和之后保持网络连接，而对手的目标是通过破坏一组链接来断开网络连接。通过创建和删除链接的成本，这两家公司的目标是在最大程度地降低成本的同时最大程度地发挥其效用。在本文中，我们使用子博弈完美均衡（SPE）的概念来刻画网络防御者和攻击者的最优策略。我们根据系统参数明确推导SPE。我们将进一步研究防御者的弹性计划以及攻击者攻击的战略时机。最后，我们使用支持无人机的通信网络进行灾难恢复的案例研究来证实获得的分析结果。