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We investigate the basic trade-offs, analysis and decision processes involved in information security and intrusion detection, as well as possible application of game theoretic concepts to develop a formal decision and control framework. A generic model of a distributed intrusion detection system (IDS) with a network of sensors is considered, and two schemes based on game theoretic techniques are proposed. The security warning system is simple and easy-to-implement, and it gives system administrators an intuitive overview of the security situation in the network. The security attack game, on the other hand, models and analyzes attacker and IDS behavior within a two-person, nonzero-sum, noncooperative game with dynamic information. Nash equilibrium solutions in closed form are obtained for specific subgames, and two illustrative examples are provided.
Alpcan et al. (2004) studied this question.