Abstract: A power allocation method based on the Non-cooperative Power Control Game (NPCG) in cognitive radio networks is proposed. With the concept of pricing factor, a novel cost function based Signal-to-Interference and Noise Ratio (SINR) is as well as a new payoff function designed. By the principle of game theory, we prove the existence and unique of Nash Equilibrium (NE) in our payoff function, and the NE is Pareto Efficiency. Simulation results show that our algorithm is robust and rapid in convergence. By setting an appropriate pricing factor and some other parameters, our algorithm will converge to an NE in about 3~5 iterative operations which can satisfy the real-time requirement. Meanwhile, the throughput of our algorithm is 1~4 times greater than that of the traditional algorithm.

Key words: cognitive radio, non-cooperative power control game theory, payoff function, Nash equilibrium