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Discrete Power Control: Cooperative and Non-Cooperative Optimization

Summary: Discrete Power Control:
Cooperative and Non-Cooperative Optimization
Eitan Altman, Konstantin Avrachenkov, Gregory Miller, and Balakrishna Prabhu
INRIA Sophia Antipolis, 2004 route des Lucioles, 06902 Sophia Antipolis, France
Moscow Aviation Institute, 4 Volokolamskoe sh., GSP-3, Moscow A-80, Russia
CWI, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands
Eitan.Altman@sophia.inria.fr; K.Avrachenkov@sophia.inria.fr; GMiller@ipiran.ru; B.J.Prabhu@cwi.nl
Abstract-- We consider an uplink power control problem
where each mobile wishes to maximize its throughput (which
depends on the transmission powers of all mobiles) but has a
constraint on the average power consumption. A finite number
of power levels are available to each mobile. The decision of
a mobile to select a particular power level may depend on its
channel state. We consider two frameworks concerning the state
information of the channels of other mobiles: (i) the case of full
state information and (ii) the case of local state information. In
each of the two frameworks, we consider both cooperative as well
as non-cooperative power control. We manage to characterize
the structure of equilibria policies and, more generally, of best-
response policies in the non-cooperative case. We present an


Source: Avrachenkov, Konstantin - INRIA Sophia Antipolis


Collections: Computer Technologies and Information Sciences