Conjectural equilibrium in multiuser power control games
IEEE Transactions on Signal Processing
Cognitive radio game for secondary spectrum access problem
IEEE Transactions on Wireless Communications
A new perspective on multi-user power control games in interference channels
IEEE Transactions on Wireless Communications
From competition to coopetition: stackelberg equilibrium in multi-user power control games
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Spectrum sharing games on the interference channel
GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
Interference avoidance in networks with distributed receivers
IEEE Transactions on Communications
Inter-operator spectrum sharing from a game theoretical perspective
EURASIP Journal on Advances in Signal Processing - Special issue on dynamic spectrum access for wireless networking
Conjectural equilibrium in water-filling games
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
GADIA: A greedy asynchronous distributed interference avoidance algorithm
IEEE Transactions on Information Theory
Welfare-maximizing correlated equilibria using Kantorovich polynomials with sparsity
Journal of Global Optimization
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In this paper we investigate properties of simultaneous water filling for a wireless system with two mutually interfering transmitters and receivers with non-cooperative coding strategies. This is slightly different from the traditional interference channel problem which assumes that transmitters cooperate in their respective coding strategies, and that interference cancellation can be performed at the receivers. In this noncooperative setup, greedy capacity optimization by individual transmitters through various algorithms leads to simultaneous water filling fixed points where the spectrum of the transmit covariance matrix of one user water fills over the spectrum of its corresponding interference-plus-noise covariance matrix, and in our paper we study the properties of these fixed points. We show that at a simultaneous water filling point the eigenvectors of transmit covariance matrices at each receiver are aligned, and identify three regimes which correspond to simultaneous water filling that depend on the interference gains: a) complete spectral overlap, b) partial spectral overlap, and c) spectral segregation. These imply that the transmit covariance matrices will be white in regions of both overlap and segregation, but not necessarily white overall. We also consider performance as a function of interference gain and show that complete spectral overlap is a strongly suboptimal solution over a wide range of gains. Overall, our results suggest that for strong mutual interference, an effort should be made to do joint decoding over receivers since such collaboration can provide large capacity increases. For moderate interference, distributed and/or centralized conflict resolution algorithms would be most effective since more complex collaborative methods do not afford much improvement and strictly greedy methods such as water filling perform poorly, while for weak interference a laissez faire approach seems reasonable