In this paper, the game theoretical analysis method is presented to provide optimal strategies for anomaly-based intrusion\ndetection systems (A-IDS). A two-stage game model is established to represent the interactions between the attackers and\ndefenders. In the first stage, the players decide to do actions or keep silence, and in the second stage, attack intensity and detection\nthreshold are considered as two important strategic variables for the attackers and defenders, respectively. The existence,\nuniqueness, and explicit computation of the Nash equilibrium are analyzed and obtained by considering six different scenarios,\nfrom which the optimal detection and attack actions are provided. Numerical examples are provided to validate our\ntheoretical results.
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