Coopetition spectrum trading in cognitive radio networks: Game-theoretic modeling approach

To make full use of the spectrum resources with underlay manner in cognitive radio networks(CRNs), we jointly consider fairness and efficient to build a relevant interference model in this paper. Based on non-cooperative game theory, we proposed a novel power control algorithm joint price and power distribution under interference constraint in CRNs that primary user (PU) imposes interference price on secondary users (SUs) to enhance revenue while maintain its minimum data rate, and SUs strategically adjust their transmission power to maximize their own utilities selfish. We formulate power allocation problem as a bi-level Stackelberg game and prove the existence and uniqueness of the Nash Equilibrium. A gradient methods based iteration algorithm is provided to analyze the Stackelberg Equilibrium. Simulation results is according with the theoretical derivation and shows that our proposed scheme not only improving the frequency efficiency significantly but also maximize both type of users's utility.