A non-cooperative power control game via new pricing in cognitive radio

In this paper, power control problem in cognitive user is modeled as a non-cooperative game model. To improve the cognitive users´ performance, this paper presents a new pricing function based on double-interference punishment (DIP) for non-cooperative power control game in a CDMA cognitive radio network. The model reduces the minimum Signal to Interference plus Noise Ratio (SINR) satisfied the requirement of system. The minimum SINR reduced can make the lower SINR user communicate with each other in the system. The existence, uniqueness of Nash Equilibrium (NE) for the proposed new utility function model is proved. Simulation results show that the game with the proposed pricing function can improve the performance of the cognitive user in the condition of maximum interference temperature constraint. And the game model guarantees the fairness of cognitive users at a certain extent.