Attack-Defense game analysis of critical infrastructure network based on Cournot model with fixed operating nodes

In recent years, some game models were proposed to protect critical infrastructure networks. But they mainly focused on the protection of key nodes, and there are rarely models to consider the fixed-point use of resources. Hence, in this paper, we propose a non-zero-sum simultaneous game model based on the Cournot model. Meanwhile, we presented a novel method of critical node centrality identification based on the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Simulating the game analysis on scale-free networks, small-world networks and random networks, it is found that the fixed operating nodes and the network topology are key factors in payoffs considering the constraints of resources. Besides, robustness analysis of networks on various sensitivity parameters is given and some effective optimal strategies are acquired to provide decision support for policy-makers.