TY - JOUR
T1 - Non-Cooperative Power Control Game in D2D Underlying Networks with Variant System Conditions
AU - Al-Gumaei, Yousef Ali
AU - Aslam, Nauman
AU - Al-Samman, Ahamed Mohammed
AU - Al-Hadhrami, Tawfik
AU - Noordin, Kamarul
AU - Fazea, Yousef
PY - 2019/10/2
Y1 - 2019/10/2
N2 - 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.
AB - 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.
KW - D2D Networks
KW - non-cooperative game
KW - sigmoid function
KW - cost function
KW - power control
KW - Nash equilibrium
U2 - 10.3390/electronics8101113
DO - 10.3390/electronics8101113
M3 - Article
SN - 2079-9292
VL - 8
JO - Electronics
JF - Electronics
IS - 10
M1 - 1113
ER -