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The concept of cognitive radio with many promising features like spectrum sensing, dynamic spectrum access has the potential to greatly improve the spectral efficiency. In this paper, the authors consider the problem of spectrum-hole sharing, i.e., vacant channel and power allocation to multiple Cognitive Radio (CR) users who coexist in a network. These CR users are equipped with multiple antennas at both transmitters and receivers. A non-cooperative game with pricing formulation is adopted to tackle the problem. They show that, to achieve the maximum sum data rate, each user should incorporate a vector of adaptive pricing factors on each channel based on transmission power of other users.
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