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In this paper, the authors address the problem of power allocation in Multiple Access Channels (MAC) and Broadcast Channels (BC) with linear pricing framework to ensure that each user in the interference network can achieve its utility requirement. In the framework the system optimizer maximizes the system utility with the pricing function. The existence of the universal linear pricing mechanism is characterized. Algorithms for solving the linear pricing problems in MAC and BC are proposed. The sufficient condition for linear pricing in MAC with Successive Interference Cancelation (SIC) and its best decoding order are analyzed.
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