Designing a potential game via pricing for optimal resource management in non-cooperative Cognitive Radio networks

In this paper، based on the game theory، an optimized resource management algorithm for cognitive radio networks has been presented. Considering the personal interests، each user selects its own desired utility function and competes for channel and power selection. This non-cooperative approach is controlled through an appropriate pricing method. We have shown that if the profit function in a cooperative potential game is used as the pricing function in a non-cooperative network، the game governing the non-cooperative network will also become potential and will thus converge to Nash equilibrium. If the network is designed based on the cooperation of the users، the existence of selfish users among them will make the network be unstable. Besides، it decreases resource utilization gain. Using the recommended pricing has been shown to equilibrate the network. In simulations، by studying parameters like sum-rate of network and its total interference، it is shown that the resource utilization will be improved. Simulation results show that the equilibrium points also enjoy some optimality criteria such as Pareto optimality.