2019
DOI: 10.3390/electronics8101113
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Non-Cooperative Power Control Game in D2D Underlying Networks with Variant System Conditions

Abstract: 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 th… Show more

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Cited by 10 publications
(6 citation statements)
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References 33 publications
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“…The non-cooperative game formulated describes the algorithm for power control to develop a new user device utility iteration function to improve the game outcome. Consequently, the derived power control from the user devices utility function will prove the existence and convergence of NE in the algorithm [18] and [19]. This is an act of satisfaction with the convergence to occur as soon as possible and develop the new algorithm for power control.…”
Section: Utility Function and Nementioning
confidence: 86%
“…The non-cooperative game formulated describes the algorithm for power control to develop a new user device utility iteration function to improve the game outcome. Consequently, the derived power control from the user devices utility function will prove the existence and convergence of NE in the algorithm [18] and [19]. This is an act of satisfaction with the convergence to occur as soon as possible and develop the new algorithm for power control.…”
Section: Utility Function and Nementioning
confidence: 86%
“…Little number of works on mixed strategic games is presented in the literature, but only in cellular mode, where D2D communication was not taken into account. Paper [19] presented a game with few players representing channel selection game which is quite far from real cellular environment. And [20] presented a stochastic non-cooperative game where each player is a learning to facilitate the convergence to the equilibrium.…”
Section: A Related Workmentioning
confidence: 99%
“…To get the quantity Ω a (v) in the RCSD scheme, 9N p − 19 flops are required. Finally, (10) requires 6(N p + 2M − 1) + (2M + 1)(9N p − 15) flops. Since some operations are pre-calculated in (9), 2(5N p − 9) flops are required to get (11).…”
Section: Complexity Analysismentioning
confidence: 99%
“…D2D is considered a promising technology that provides a mechanism for reusing LTE's uplink physical layer such as single-carrier frequency division multiple access (SC-FDMA) and reference signals [5,6]. Thus, IoT that enables ubiquitous connection among D2D devices without the essential control of the centralized supervision is a prime enabler to facilitate the evolution of routing the traffic via enhanced base station (eNodeB) from LTE-A systems to future 5G [8][9][10][11].…”
Section: Introductionmentioning
confidence: 99%