Loughborough University
07921533.pdf (3.7 MB)

Coalitional games for downlink multicell beamforming

Download (3.7 MB)
journal contribution
posted on 2017-05-16, 10:45 authored by Yu Wu, Anastasios Deligiannis, Sangarapillai LambotharanSangarapillai Lambotharan
A coalitional game is proposed for multi-cell multiuser downlink beamforming. Each base station intends to minimize its transmission power while aiming to attain a set of target signal-to-interference-plus-noise-ratio (SINRs) for its users. In order to reduce power consumption, base stations have incentive to cooperate with other base stations to mitigate intercell interference. The coalitional game is introduced where base stations are allowed to forge partial cooperation rather than full cooperation. The partition form coalitional game is formulated with the consideration that beamformer design of a coalition depends on the coalition structure outside the considered coalition. We first formulate the beamformer design for a given coalition structure, in which base stations in a coalition greedily minimize the total weighted transmit power without considering interference leakage to users in other coalitions. This can be considered as a non-cooperative game with each player as a distinct coalition. By introducing cost for cooperation, the coalition formation game is considered for the power minimization based beamforming. A merge-regret based sequential coalition formation algorithm has been developed that is capable of reaching a unique stable coalition structure. Finally, an α-Modification algorithm has been proposed to improve the performance of the coalition formation algorithm.


This work was supported by the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant EP/M015475/1.



  • Mechanical, Electrical and Manufacturing Engineering

Published in

IEEE Access


WU, Y., DELIGIANNIS, A. and LAMBOTHARAN, S., 2017. Coalitional games for downlink multicell beamforming. IEEE Access, 5, pp. 9251 - 9265.


© The Authors. Published by Institute of Electrical and Electronics Engineers (IEEE)


  • VoR (Version of Record)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) licence. Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/

Acceptance date


Publication date



This is an Open Access Article. It is published by IEEE under the Creative Commons Attribution 3.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/3.0/




  • en