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Extensive research in recent years has shown the benefits of cognitive radio technologies to improve the flexibility and efficiency of spectrum utilization. This new communication paradigm, however, requires a well-designed spectrum allocation mechanism. In this paper, the authors propose an auction framework for cognitive radio networks to allow unlicensed Secondary Users (SUs) to share the available spectrum of licensed Primary Users (PUs) fairly and efficiently, subject to the interference temperature constraint at each PU. To study the competition among SUs, they formulate a non-cooperative multiple-PU multiple-SU auction game and study the structure of the resulting equilibrium by solving a non-continuous two-dimensional optimization problem.
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