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A game-theoretic attack-defense framework for the study of network resilience
Kaiwen Zhao1,2,3, Jianxi Gao4, Qi Su5,6,7
1School of Automation and Intelligent Sensing, Shanghai Jiao Tong University, Shanghai, China.
Nature Communications
|July 31, 2026
Summary
Networked systems face cascading failures from interacting attacks and defenses. A game-theoretic model shows network topology dictates whether attackers or defenders prevail, with optimal attacks targeting the percolation threshold for maximum impact.
Area of Science:
- Network Science
- Game Theory
- Cybersecurity
Background:
- Modern interconnected systems (e.g., IoT) are vulnerable to cascading failures.
- Failures often result from intentional, interacting attacks and defenses, not just accidents.
Purpose of the Study:
- To develop a game-theoretic framework modeling the coevolution of attacks and defenses in networks.
- To understand how network structure influences strategic interactions and overall system resilience.
Main Methods:
- Developed a game-theoretic model of repeated interactions between attackers and defenders on a network.
- Analyzed adaptive dynamics linking network topology to strategic behavior.
- Investigated payoff control and network heterogeneity effects.
Main Results:
- Network heterogeneity creates an asymmetry: attackers dominate heterogeneous networks, while defenders are stronger on homogeneous ones.
- Optimal attacker strategies were found to converge on the network's percolation threshold.
- Results were validated on both synthetic and real-world networks.
Conclusions:
- Network topology fundamentally governs the coevolution of offensive and defensive strategies.
- Understanding this interplay is crucial for predicting and enhancing emergent network resilience against strategic threats.
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