Equilibrium between a statistical MIMO radar and a jammer

In this paper, we investigate the interaction between a statistical multiple input multiple output (MIMO) radar and an intelligent target equipped with a jammer from the perspective of game theory. In particular, the jammer always tries to prevent the radar from detecting the target via the power allocation optimization. We model the adversarial interaction as a two-person zero-sum game and a Bayesian game, respectively. In the two-person zero-sum game, the radar and the jammer both have complete information, including all the information about themselves and their opponents. In the Bayesian game, the radar and the jammer have incomplete information. The radar cross-section of the target is only known by the jammer, while the radar receiver condition is only known by the MIMO radar. The utility functions are formulated based on the mutual information. The equilibria to these two games are derived respectively.