基于Bertrand和Cournot博弈的频谱共享模型

Bertrand and Cournot Game Based Spectrum Sharing Game Model

针对多个主用户和单个次用户的场景,提出了一种基于Bertrand和Cournot混合博弈的频谱共享模型。主用户拥有两种具有一定替代性的频谱资源,并根据频谱市场需求决定采用Bertrand或Cournot博弈,通过相应地调整频谱数量和价格策略来获得最大收益。最后,推导了该模型静态博弈纳什均衡表达式,分析了动态博弈的稳定性,并通过非完全信息动态博弈的仿真结果验证了模型的正确性。

Bertrand and Couruot game based spectrum sharing game model was proposed for the spectrum sharing model with multiple primary users and one secondary user, in which each primary user has two kinds of spectrum, between which there exists certain Substitutability. Ber- trand or Cournot game is adopted on market demand, strategies of the quantity and price of spectrum are correspondingly adjusted to gain opti- mal payoff. Finally, the expressions of static game Nash equilibrium, simulate incomplete information dynamic game are derivated, with its sta- bility analyze. And the simulation has proved the accuracy of the model.