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A combined base station association and power control problem is studied for the uplink of multichannel multi-cell cellular networks, in which each channel is used by exactly one cell (i.e., base station). A distributed association and power update algorithm is proposed and shown to converge to a Nash equilibrium of a non-cooperative game. The authors consider network models with discrete mobiles (yielding an atomic congestion game), as well as a continuum of mobiles (yielding a population game). They find that the equilibria need not be Pareto efficient, nor need they be system optimal. To address the lack of system optimality, they propose pricing mechanisms. It is shown that these mechanisms can be implemented in a distributed fashion.
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