基于博弈理论的认知无线电频谱分配

Game-Based Spectrum Allocation in Cognitive Radio Networks

在认知用户效用函数的基础上,应用寡头市场博弈模型来解决频谱分配中的授权用户博弈问题.根据认知用户的效用函数以及Bertrand、Cournot均衡理论提出了授权用户信道竞价的动态Bertrand博弈算法.理论与仿真结果表明:稳定的纳什均衡解与速率调整参数有关,当速率调整参数小于0.020时,可以在较短的时间内获得稳定的信道价格;同时,纳什均衡点与边际成本有关,较高的边际成本可以获得较高的信道价格.

Based on the utility function of cognitive users,the game of licensed users in spectrum allocation is solved with the help of the oligopoly market game model.Then,based on the utility function of cognitive users and the theories of Bertrand and Cournot equilibrium,a dynamic Bertrand game algorithm is proposed for the channel pricing of licensed users.Theoretical analysis and simulation results show that the stability of Nash equilibrium solution is related to the regulative rate,that stable channel price can be obtained in a short time when the regulative rate is less than 0.020,that the Nash equilibrium point is related to the marginal cost,and that higher channel price can be obtained with a higher marginal cost.