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This paper investigates the application of game theory tools in the context of Cognitive Radio Networks (CRN). Specifically, the authors propose a resource management strategy with the objective to maximize a defined utility function subject to minimize the mutual interference caused by Secondary Users (SUs) with protection for Primary Users (PUs). In fact, they formulate a utility function to reflect the needs of PUs by verifying the outage probability constraint, and the per-user capacity by satisfying the Signal-to-Noise and Interference Ratio (SNIR) constraint, as well as to limit interference to PUs. Furthermore, the existence of the Nash equilibrium of the proposed game is established, as well as its uniqueness under some sufficient conditions.
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