arXiv:2511.10845cs.GTcs.AI2025-11中稿 · AAAI

自私的网络节点自组织出抗攻击能力强的高效网络。

Optimal Welfare in Noncooperative Network Formation under Attack

  • 基于博弈论建模节点自连接与防御行为
  • 网络在攻击后仍保持渐近最优福利
  • 揭示攻击者未必造成最大破坏的反直觉现象

通信网络是经济与日常生活的基石,也因此成为攻击目标。当前网络如互联网或智能设备间的点对点网络,并非由单一机构控制,而是由多个独立管理的实体组成,其互联与防护决策由自利的个体在去中心化环境下做出。这一博弈情境被Goyal等(WINE 2016)提出的模型捕捉。本文重新审视该模型,证明了由自利主体形成的网络可抵御一大类潜在攻击者,且攻击后的社会福利接近最优。此结果改进了多个已有界,并解决了开放问题。此外,我们发现:旨在最小化攻击后社会福利的攻击者,并不会造成最大损害,这一反直觉现象为安全策略设计提供了新视角。

原文摘要 · Abstract (English)

Communication networks are essential for our economy and our everyday lives. This makes them lucrative targets for attacks. Today, we see an ongoing battle between criminals that try to disrupt our key communication networks and security professionals that try to mitigate these attacks. However, today's networks, like the Internet or peer-to-peer networks among smart devices, are not controlled by a single authority, but instead consist of many independently administrated entities that are interconnected. Thus, both the decisions of how to interconnect and how to secure against potential attacks are taken in a decentralized way by selfish agents. This strategic setting, with agents that want to interconnect and potential attackers that want to disrupt the network, was captured via an influential game-theoretic model by Goyal, Jabbari, Kearns, Khanna, and Morgenstern (WINE 2016). We revisit this model and show improved tight bounds on the achieved robustness of networks created by selfish agents. As our main result, we show that such networks can resist attacks of a large class of potential attackers, i.e., these networks maintain asymptotically optimal welfare post attack. This improves several bounds and resolves an open problem. Along the way, we show the counter-intuitive result, that attackers that aim at minimizing the social welfare post attack do not actually inflict the greatest possible damage.

网络博弈抗攻击福利优化

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