A Non-cooperative Game Theoretic Approach for Multi-cell OFDM Power Allocation

In this paper, we develop a distributed adaptive power allocation based on game theory in the orthogonal frequency division multiplexing (OFDM) cellular systems. In this work, power control problem is solved based on the idea of the Nash equilibrium (NE) from non-cooperative game. In this regard, a utility function is proposed that each user seeks to select a transmit power level such that maximizes its own utility by adjusting the transmit power on each subchannel. In process of power control game, the users which have better subchannel gain use lower power for transmission; When as the outlying users, due to encountering higher path loss, have low subchannel gain and consume more power to be able to guarantee wanted bit rate. Power control game provides fair data rate lower power consumption for all users in comparison with improved Water-filling (WF) approach as simulation results show.