Title :
A game-theoretic approach for distributed power control in interference relay channels
Author :
Shi, Yi ; Wang, Jiaheng ; Letaief, Khaled ; Mallik, Ranjan K.
Author_Institution :
Dept. of Electron. & Comput. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon
fDate :
6/1/2009 12:00:00 AM
Abstract :
This paper considers the multiuser power control problem in Gaussian frequency-flat interference relay channels using a game-theoretic framework. While a lot of attention has been paid to Gaussian interference games, where sufficient conditions for the uniqueness of the Nash equilibrium (NE) have been established, these types of games have not been studied in the context of interference relay channels. We consider here Gaussian interference relay games (GIRGs), where instead of allocating the power budget across a set of sub-channels, each player aims to decide the optimal power control strategy across a set of hops. We show that the GIRG always possesses a unique NE for a two-player version of the game, irrespective of any channel realization or initial system parameters such as power budgets and noise power. Furthermore, we derive explicitly a sufficient condition under which the NE achieves Pareto-optimality. To facilitate decentralized implementation, we propose a distributed and asynchronous algorithm. We also prove that the proposed algorithm always converges to the unique NE from an arbitrary starting point. We then conclude that the distributed game-theoretic approach exhibits great potential in the context of interference relay channels and qualifies as a practically appealing candidate for power control.
Keywords :
Gaussian channels; Pareto optimisation; distributed control; game theory; multiuser channels; optimal control; power control; radiofrequency interference; telecommunication control; wireless channels; Gaussian frequency-flat interference; Nash equilibrium; Pareto optimization; asynchronous algorithm; distributed game-theoretic approach; distributed power control; interference relay channel; multiuser power control problem; optimal power control; two-player version; Communication system control; Context; Frame relay; Frequency; Game theory; Interference; Nash equilibrium; Power control; Power system relaying; Sufficient conditions; Distributed algorithm, game theory, interference relay channels, Pareto-optimality, power control;
Journal_Title :
Wireless Communications, IEEE Transactions on
DOI :
10.1109/TWC.2009.080831