1st International Conference on Game Theory for Networks

Research Article

Power games in MIMO interference systems

  • @INPROCEEDINGS{10.1109/GAMENETS.2009.5137382,
        author={Gurdal  Arslan and M. Fatih  Demirkol and Serdar   Yuksel},
        title={Power games in MIMO interference systems},
        proceedings={1st International Conference on Game Theory for Networks},
        keywords={Power control MIMO systems Co-channel interference Ad-hoc networks Game theory Generalized Nash equilibrium.},
  • Gurdal Arslan
    M. Fatih Demirkol
    Serdar Yuksel
    Year: 2009
    Power games in MIMO interference systems
    DOI: 10.1109/GAMENETS.2009.5137382
Gurdal Arslan1, M. Fatih Demirkol1, Serdar Yuksel1
  • 1: Dept. of Electr. Eng., Univ. of Hawaii at Manoa, Honolulu, HI, USA


We consider a multi-link and multi-input-multi-output (MIMO) interference system in which each link wishes to minimize its own power by choosing its own signal vector subject to an information theoretic quality-of-service (QoS) requirement. Our setup leads to a multi-link game, referred to as a ldquopower gamerdquo, in which the feasible strategy set of an individual link depends on the strategies of the other links. We characterize the rates for which an equilibrium solution exists in a power game in terms of the equilibria of ldquocapacity gamesrdquo introduced in our earlier work (Arslan et al., 2007). We provide an example where the set of equilibrium rates is properly contained in the set of achievable rates. We provide a conservative estimate of the region of equilibrium rates using a minmax approach. We discuss the uniqueness of equilibrium as well as the convergence of best response dynamics (a.k.a. iterative water-filling) for all rates when the interference is sufficiently small and some other mild conditions are met. Finally, we extend our results to the case where the QoS requirements are softened.