Non-cooperative power control game in D2D underlying networks with variant system conditions

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

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)
    15 Downloads (Pure)


    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.

    Original languageEnglish
    Article number1113
    Issue number10
    Publication statusPublished - Oct 2019


    • Cost function
    • D2D Networks
    • Nash equilibrium
    • Non-cooperative game
    • Power control
    • Sigmoid function

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Signal Processing
    • Hardware and Architecture
    • Computer Networks and Communications
    • Electrical and Electronic Engineering


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