Energy Efficient Power Control Algorithm in Wireless Networks: Game Theory Approach

Abstract

The problem of power control in wireless networks continue to be one of the major challenges to address. Therefore, effective management of limited resources is essential. Solving this issue is crucial for ensuring optimal network performance in terms of transmission efficiency and energy consumption. The main objective is to optimize network performance by adapting transmit power levels to reduce interference and noise generated by wireless communications in the network. The energy efficiency function measures transmission efficiency per unit of consumed energy. The quality of service of a transmitter depends on energy consumption, the power level of its own transmission and that of other transmitters, generating interference and noise. This led us to use non-cooperative game theory tools to model strategic interactions between issuers and Nash equilibrium as a solution concept. We propose a power control game algorithm which calculates the transmission powers at equilibrium and prove that it converges to a unique Nash equilibrium. The main advantage of the proposed algorithm is that, at the Nash equilibrium point, all transmitters in the wireless network adjust their transmit power to achieve an optimal signal to interference plus noise ratio (SINR) while maintaining low energy consumption.