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We investigate a competitive power allocation problem for a MIMO radar system in the presence of multiple targets equipped with jammers. The main objective of the radar network is to minimize the total power emitted by the radars while achieving a specific detection criterion for each of the targets, while the intelligent jammers have the ability to observe the radar transmission power and consequently decide its jamming power to maximize the interference to the radars. In this context, we incorporate convex optimization methods, noncooperative game theoretic techniques and hypothesis testing to identify jammers and to determine the optimal power allocation. Furthermore, we present a proof on the existence and uniqueness of the Nash Equilibrium (NE). The simulation results confirm the effectiveness of the proposed algorithm and demonstrate the convergence of the game.
Deligiannis et al. (2016) studied this question.