中文摘要：

在频谱贸易中，价格是一个关键问题。针对认知无线网络中多个主用户的空闲频谱最优定价问题，在竞争模型下，基于非合作博弈论提出了竞争价格模型求解算法，并证明了该算法收敛到唯一的纳什均衡；在合作模型下，通过求解原问题的对偶问题，提出了合作价格模型求解算法，并证明了该算法在步长足够小时收敛到全局最优解。仿真结果表明，同已有的几个算法相比，所提的两个算法速度更快，取得的总收益相对更好，且均能较快地靠近最优解。

英文摘要：

In spectrum trading, pricing is a key issue. Aiming at pricing for idle spectrums in a cognitive ra- dio network with multiple primary users, a competitive pricing solution algorithm based on the non-cooperative game theory in the competitive pricing is.proposed, and the algorithm converges to a unique Nash equilibrium is proved. In the cooperative pricing, a cooperative pricing solution algorithm by solving the dual problem of the original problem is proposed and the algorithm converge to the global optimal solution is proved if the step- length is small enough. Simulation results show that the two proposed algorithms show better time efficiency and can obtain relatively better total revenues, and moreover the revenue values are very close to the optimal solution.