Game theoretic power allocation for a multistatic radar network in the presence of estimation error

We investigate distributed power allocation techniques for a multistatic multi-input and multi-output (MIMO) radar network based on a game theoretic framework. We consider a network of radars grouped into clusters that aim to attain a specific signal-to-disturbance ratio (SDR) while using minimum possible total transmission power. We consider game theoretic power adaptation based on the estimate of SDR, so that there is no communication requirement between radars in the clusters. We demonstrate equilibrium convergence of the non-cooperative game theoretic algorithm even in the presence of estimation error for the SDR.