In Cognitive Radio Wireless Sensor Networks, the licensed spectrum bands are highly dynamic, and their status varies overtime. With the expansion of these networks, regarding the energy constraints and the fact that reallocation of the frequency spectrum is energy-consuming, the problem of controlling the behavior of secondary users in the allocation of the spectrum is of great importance. Providing a method to reduce the number of channel reallocation, which in turn results in reducing energy consumption in such a dynamical network is essential. In this paper, considering the energy constraints, an optimal method for allocating frequency spectrum resources is presented using game theory and Nash equilibrium. By analyzing the activity model of primary users on the frequency spectrum and selecting the appropriate spectrum using the Nash equilibrium, the method reaches the network to a stationary equilibrium point. In these conditions, in addition to reducing interference between primary and secondary users, the number of channel reallocations by cognitive radio users is reduced and thus reduces overall energy consumption in the network and increases its life span.

在认知无线电无线传感器网络中，许可的频段是高度动态的，并且它们的状态会随着时间变化。随着这些网络的扩展，考虑到能量约束和频谱的重新分配是耗能的事实，控制次用户在频谱分配中的行为的问题变得非常重要。提供减少信道重新分配的数量的方法是必不可少的，该方法又导致减少这种动态网络中的能量消耗。在考虑能量约束的前提下，利用博弈论和纳什均衡提出了一种分配频谱资源的最优方法。通过分析主要用户在频谱上的活动模型并使用Nash均衡选择适当的频谱，该方法将网络到达固定的平衡点。在这些情况下，除了减少主要用户和次要用户之间的干扰之外，认知无线电用户所进行的信道重新分配的数量也减少了，从而减少了网络中的总体能耗，并延长了其使用寿命。