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Open AccessArticle

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

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Department of Computer and Information Science, Faculty of Engineering and Environment, Northumbria University, Newcastle Upon Tyne NE1 8ST, UK
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Department of Manufacturing and Civil Engineering, Norwegian University of Science and Technology, 2815 Gjøvik, Norway
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School of Science and Technology, Nottingham Trent University, Nottingham NG11 8NS, UK
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Electrical Department, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia
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School of computing, Universiti Utara Malaysia, UUM, Sintok 06010, Malaysia
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Authors to whom correspondence should be addressed.
Electronics 2019, 8(10), 1113; https://doi.org/10.3390/electronics8101113
Received: 9 September 2019 / Revised: 26 September 2019 / Accepted: 1 October 2019 / Published: 2 October 2019
(This article belongs to the Section Networks)
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. View Full-Text
Keywords: D2D Networks; non-cooperative game; sigmoid function; cost function; power control; Nash equilibrium D2D Networks; non-cooperative game; sigmoid function; cost function; power control; Nash equilibrium
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Al-Gumaei, Y.A.; Aslam, N.; Al-Samman, A.M.; Al-Hadhrami, T.; Noordin, K.; Fazea, Y. Non-Cooperative Power Control Game in D2D Underlying Networks with Variant System Conditions. Electronics 2019, 8, 1113.

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