Wireless ad hoc network is becoming a new research fronter, in which security is an important issue. Usually some nodes act maliciously and they are able to do different kinds of Denial of Service (Dos). Because of the limited resource, intrusion detection system (IDS) runs all the time to detect intrusion of the attacker which is a costly overhead. We use game theory to model the interactions between the intrusion detection system and the attacker, and a realistic model is given by using

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... an game. We solve the game by finding the Bayesian Nash equilibrium. The results of our analysis show that the IDS could work intermittently without compromising its effectiveness. At the end of this paper, we provide an experiment to verify the rationality and effectiveness of the proposed model.