An improved power control algorithm for non-cooperative games in cognitive networks

To address the selfishness problem of cognitive users excessively increasing their own transmit power to increase their revenue in underlay mode, a new utility function is proposed based on the non-cooperative game power control algorithm in cognitive wireless networks by combining the revenue function and the cost function. Firstly, the corresponding cost factors for the signal-to-noise ratio and the transmit power are designed in the utility function, so that they can be more reasonably controlled. Secondly, the existence and uniqueness of the Nash equilibrium of the proposed algorithm are proved and the Pareto optimal solution is found. Finally, Matlab simulations show that the proposed algorithm can significantly reduce the transmit power of cognitive users and that the algorithm can overcome the effect of the near and far inequity effect and achieve a reasonable allocation of spectrum resources while satisfying the user's requirement for the SIR threshold.