This work is licensed under a Creative Commons Attribution 3.0 License.\ud For more information, see http://creativecommons.org/licenses/by/3.0.We examine the interaction of multiple-input multiple-output (MIMO) based clusters of radars within a game theoretic framework, using potential games. The objective is to maximise the signal-to-disturbance ratio (SDR) of the clusters of radars, by selecting most appropriate waveforms. We prove that the proposed game theoretic algorithm converges to a unique Nash equilibrium using discrete concavity and the larger midpoint property. As a result, each cluster can determine the best waveform for illumination (equilibrium) by strategising the actions of the other clusters
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