Non-Cooperative Power Control Game in D2D Underlying Networks with Variant System Conditions

Research output: Contribution to journalArticle


  • Yousef Ali Al-Gumaei
  • Nauman Aslam
  • Ahamed Mohammed Al-Samman
  • Tawfik Al-Hadhrami
  • Kamarul Noordin
  • Yousef Fazea

External departments

  • Norwegian University of Science and Technology
  • Nottingham Trent University
  • University of Malaya
  • Universiti Utara Malaysia


Original languageEnglish
Article number1113
Number of pages15
Issue number10
Publication statusPublished - 2 Oct 2019
Publication type

Research output: Contribution to journalArticle


In this paper, the problem of power control using a game theoretic approach based on sigmoid cost function is studied for device-to-device (D2D) communications underlying cellular networks. A non-cooperative game, where each D2D transmitter and a cellular user select their own transmit power level independently, is analyzed to minimize their user-serving cost function and achieve a target signal to interference-plus-noise-ratio (SINR) requirement. It is proved analytically that the Nash equilibrium point of the game exists and it is unique under certain constraints. Numerical results verify the analysis and demonstrate the effectiveness of the proposed game with variant system conditions, such as path loss exponents, target SINR, interference caused by the cellular user, pricing coefficients, and sigmoid control parameter.

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