TY - JOUR
T1 - A power control game based on outage probabilities for multicell wireless data networks
AU - Alpcan, Tansu
AU - Başar, Tamer
AU - Dey, Subhrakanti
N1 - Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2004
Y1 - 2004
N2 - We present a game-theoretic treatment of distributed 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.
AB - We present a game-theoretic treatment of distributed 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.
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U2 - 10.23919/acc.2004.1386817
DO - 10.23919/acc.2004.1386817
M3 - Conference article
AN - SCOPUS:8744291719
VL - 2
SP - 1661
EP - 1666
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
SN - 0743-1619
T2 - Proceedings of the 2004 American Control Conference (AAC)
Y2 - 30 June 2004 through 2 July 2004
ER -