Game Theoretic Strategies Design for Monostatic Radar and Jammer Based on Mutual Information

In electronic warfare, the conflict relationship between the radar and the jammer can be modeled using game theory. In this paper, the strategies design problem for the monostatic radar and the jammer is investigated within the framework of Stackelberg game and egalitarian game. The radar waveform and the jammer power spectrum density are regarded as their strategies respectively and mutual information criterion is used to formulate the utility function. In the Stackelberg game, Stackelberg Equilibrium (SE) strategies of the radar and the jammer are derived based on a two-stage optimization method. In the egalitarian game, the existence condition of Nash equilibrium (NE) is investigated and the corresponding NE strategies are also given. If the existence condition is not satisfied, it is pointed out that the SE strategies are still acceptable as safe strategies from the perspective of game theory. The simulation results are presented and the performances of the SE strategies are compared with other strategies.