A non-cooperative power control game for multi-carrier CDMA systems

In the power control game proposed for MC-CDMA systems, each user needs to decide how much power to transmit over each carrier to maximize its overall utility. The utility function considered measures the number of reliable bits transmitted per joule of energy consumed. It is shown that the user\´s utility is maximized when the user transmits only on the carrier with the best "effective channel". The existence and uniqueness of Nash equilibrium for the proposed game are investigated and the properties of equilibrium are studied. Also, an iterative and distributed algorithm for reaching equilibrium (if it exists) is presented. It is shown that the proposed approach results in a significant improvement in the total utility achieved at equilibrium compared to the case in which each user maximizes its utility over each carrier independently.