The authors propose a game-theoretic approach for the downlink beamformer design for a multiuser multi-cell wireless network under a mixed quality of services (QoS) criterion. The network has real time users (RTUs) that must attain a specific set of signal-to-interference-plus-noise ratios (SINRs), and non-RTUs whose SINRs should be balanced and maximised. They propose a mixed QoS strategic non-cooperative game wherein base stations determine their downlink beamformers in a fully distributed manner. In the case of infeasibility, they have proposed a fallback mechanism which converts the problem to a pure max-min optimisation. They further propose the mixed QoS bargain game to improve the Nash equilibrium operating point through Egalitarian and Kalai-Smorodinsky bargaining solutions. They have shown that the results of bargaining games are comparable to that of the optimal solutions. © 2017, The Institution of Engineering and Technology.
Basutli, B., & Lambotharan, S. (2017). Game-theoretic beamforming techniques for multiuser multi-cell networks under mixed quality of service constraints. IET Signal Processing, 11(5), 631-639. https://doi.org/10.1049/iet-spr.2016.0192