Anti-Jamming Games for Multi-User Multi-Band Networks

For multi-user multi-band networks, a zero-sum game between the users and the jammer is considered. In the formulation of the game, the rewards of the users are modeled with various parameters including communication rate, hopping cost, and jamming loss. It is analytically shown that for any symmetric collision avoidance protocol, a staying-threshold frequency hopping and a sweeping attack establish an equilibrium. We also propose two kinds of collision avoidance protocols to ensure that at most one user communicates in a band, and provide various numerical results that show the effect of the reward parameters and collision avoidance protocols on the optimal threshold of the staying-threshold frequency hopping and the expected rewards of the users.