Nash bargaining over MIMO interference systems

Authors:
Zengmao Chen;Sergiy A. Vorobyov;Cheng-Xiang Wang;John Thompson
Affiliations:
Joint Research Institute for Signal and Image Processing, Heriot-Watt University, Edinburgh, UK;Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada;Joint Research Institute for Signal and Image Processing, Heriot-Watt University, Edinburgh, UK;Joint Research Institute for Signal and Image Processing, University of Edinburgh, Edinburgh, UK
Venue:
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Year:
2009

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Abstract

In this paper, the source covariance matrices of multiple-input multiple-output (MIMO) interference channels (IFCs) are investigated from a game-theoretic perspective. It is proved that the requirement of sufficiently small interference-to-noise ratio (INR) is the sufficient condition for the uniqueness of the Nash bargaining (NB) solution. The structure of the source covariance matrices, which constitute the feasible set of NB solution, is analyzed by comparing them with the covariance matrices leading to the Nash equilibrium (NE). The existence of the NB solution and concavity of the rate product for MIMO IFCs are also studied.