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Summary: A Power Control Game Based on Outage Probabilities for
Multicell Wireless Data Networks
Tansu Alpcan, Tamer Bas¸ar, and Subhrakanti Dey
Abstract-- We present a game-theoretic treatment of dis-
tributed power control in CDMA wireless systems using outage
probabilities. We prove that the noncooperative power control
game considered admits a unique Nash equilibrium (NE) for
uniformly strictly convex pricing functions and under some
technical assumptions on the SIR threshold levels. We analyze
global convergence of continuous-time as well as discrete-
time synchronous and asynchronous iterative power update
algorithms to the unique NE of the game. Furthermore, a
stochastic version of the discrete-time update scheme, which
models the uncertainty due to quantization and estimation
errors, is shown to converge almost surely to the unique NE
point. We further investigate and demonstrate the convergence
and robustness properties of these update schemes through
simulation studies.
I. INTRODUCTION
The primary objective of uplink power control in code
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