Abstract:  With the increase of mobile devices, cognitive radio(CR) has emerged as an innovative technology. Spectrum sensing is an important part of CR technology which can detect whether the primary user is present or not. A multitask cooperative spectrum sensing algorithm based on Stackelberg game is proposed in this paper, which applies crowd sensing and game theory to study spectrum sensing. In the Stackelberg game, the fusion center (platform) is modeled as the leader, while secondary users are modeled as the follower. In the leader game, the platform publishes the optimal reward value to the secondary users to get the optimal utility. In the follower game, we focus on the influence of residual energy on the secondary users. In this stage, the secondary users under the same task constantly adjust their participation time under the reward of the platform to achieve equilibrium. Eventually, the secondary users can obtain their own optimal utility. The simulation results show that the algorithm can improve the detection probability of the fusion center.