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The authors consider the issue of fair share of the spectrum opportunity for the case of spectrum-overlay cognitive radio networks. Owing to the decentralized nature of the network, they adopt a pricing based game-theoretic approach where the actions of players would be choosing the modulation rate. The resulting game can be verified to be supermodular, and thus has atleast one pure strategy Nash equilibrium. Next, they propose a Stochastic Approximation based algorithm for the computation of best response correspondence whose convergence to the Pareto-dominant Nash equilibrium can be established.
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