Defending against Contagious Attacks on a Network with Resource Reallocation

Authors

  • Rufan Bai IoTSC, University of Macau, yb97439@um.edu.mo
  • Haoxing Lin IoTSC, University of Macau, starklin@um.edu.mo
  • Xinyu Yang IoTSC, University of Macau, mb95466@um.edu.mo
  • Xiaowei Wu IoTSC, University of Macau, xiaoweiwu@um.edu.mo
  • Minming Li City University of Hong Kong, minming.li@cityu.edu.hk
  • Weijia Jia BNU(Zhuhai) & UIC, jiawj@sjtu.edu.cn

Keywords:

Game Theory, Security, Games, Constraint Optimization

Abstract

In classic network security games, the defender distributes defending resources to the nodes of the network, and the attacker attacks a node, with the objective to maximize the damage caused. Existing models assume that the attack at node u causes damage only at u. However, in many real-world security scenarios, the attack at a node u spreads to the neighbors of u and can cause damage at multiple nodes, e.g., for the outbreak of a virus. In this paper, we consider the network defending problem against contagious attacks. Existing works that study shared resources assume that the resource allocated to a node can be shared or duplicated between neighboring nodes. However, in real world, sharing resource naturally leads to a decrease in defending power of the source node, especially when defending against contagious attacks. To this end, we study the model in which resources allocated to a node can only be transferred to its neighboring nodes, which we refer to as a reallocation process. We show that this more general model is difficult in two aspects: (1) even for a fixed allocation of resources, we show that computing the optimal reallocation is NP-hard; (2) for the case when reallocation is not allowed, we show that computing the optimal allocation (against contagious attack) is also NP-hard. For positive results, we give a mixed integer linear program formulation for the problem and a bi-criteria approximation algorithm. Our experimental results demonstrate that the allocation and reallocation strategies our algorithm computes perform well in terms of minimizing the damage due to contagious attacks.

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Published

2021-05-18

How to Cite

Bai, R., Lin, H., Yang, X., Wu, X., Li, M., & Jia, W. (2021). Defending against Contagious Attacks on a Network with Resource Reallocation. Proceedings of the AAAI Conference on Artificial Intelligence, 35(6), 5135-5142. Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/16649

Issue

Section

AAAI Technical Track on Game Theory and Economic Paradigms