Stable adaptive systems
Learning automata: an introduction
Learning automata: an introduction
Non-cooperative uplink power control in cellular radio systems
Wireless Networks - Special issue transmitter power control
Distributed Discrete Power Control in Cellular PCS
Wireless Personal Communications: An International Journal
Multiagent Reinforcement Learning: Theoretical Framework and an Algorithm
ICML '98 Proceedings of the Fifteenth International Conference on Machine Learning
A utility-based power-control scheme in wireless cellular systems
IEEE/ACM Transactions on Networking (TON)
A noncooperative power control game for multirate CDMA data networks
IEEE Transactions on Wireless Communications
IEEE Journal on Selected Areas in Communications
Adaptive downlink scheduling and rate selection: a cross-layer design
IEEE Journal on Selected Areas in Communications
Conjectural equilibrium in multiuser power control games
IEEE Transactions on Signal Processing
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
On the base station selection and base station sharing in self-configuring networks
Proceedings of the Fourth International ICST Conference on Performance Evaluation Methodologies and Tools
Using model checking for analyzing distributed power control problems
EURASIP Journal on Wireless Communications and Networking
Inter-domain pricing: challenges and possible approaches
International Journal of Network Management
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Learning to use the spectrum in self-configuring heterogenous networks: a logit equilibrium approach
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
An adaptive backbone formation algorithm for wireless sensor networks
Computer Communications
Sleep-based topology control in the Ad Hoc networks by using fitness aware learning automata
Computers & Mathematics with Applications
LAAP: A Learning Automata-based Adaptive Polling Scheme for Clustered Wireless Ad-Hoc Networks
Wireless Personal Communications: An International Journal
Joint optimal AF relay assignment and power allocation in wireless cooperative networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Distributed power control is an important issue in wireless networks. Recently, noncooperative game theory has been applied to investigate interesting solutions to this problem. The majority of these studies assumes that the transmitter power level can take values in a continuous domain. However, recent trends such as the GSM standard and Qualcomm's proposal to the IS-95 standard use a finite number of discretized power levels. This motivates the need to investigate solutions for distributed discrete power control which is the primary objective of this paper. We first note that, by simply discretizing, the previously proposed continuous power adaptation techniques will not suffice. This is because a simple discretization does not guarantee convergence and uniqueness. We propose two probabilistic power adaptation algorithms and analyze their theoretical properties along with the numerical behavior. The distributed discrete power control problem is formulated as an N-person, nonzero sum game. In this game, each user evaluates a power strategy by computing a utility value. This evaluation is performed using a stochastic iterative procedures. We approximate the discrete power control iterations by an equivalent ordinary differential equation to prove that the proposed stochastic learning power control algorithm converges to a stable Nash equilibrium. Conditions when more than one stable Nash equilibrium or even only mixed equilibrium may exist are also studied. Experimental results are presented for several cases and compared with the continuous power level adaptation solutions.