With the rapid development of smart terminals and sensors, the data scale of Power Distribution Internet of Things is increasing exponentially. The types of data are becoming more and more abundant. Processing and applying these data have become a hot spot in the industry and academia. Based on the Edge-Cloud Collaboration Architecture, the Power Distribution Internet of Things takes the Edge Internet of things Agent equipment as the core to realize the comprehensive perception, data fusion and intelligent application of the distribution network, thus effectively supporting the rapid development of the energy Internet. However, compared to Cloud Data Centers, the virtual computing resources of Edge IoT Agents are limited. To adapt the different service requirements, the Power Distribution Internet of Things system must coordinate limited virtual computing resources to improve the utilization of cloud and edge resources, thereby improving the quality of user services. In this paper, based on the research of the Power Distribution Internet of Things system architecture, a Four-Tier network model of the Power Distribution Internet of Things in the Edge-Cloud collaboration environment is constructed. Starting from the overall benefits of the Power Distribution Internet of Things system, an Edge-Cloud collaborative virtual computing resource allocation game model is constructed. Based on the dynamic differential game theory, the feedback Nash equilibrium solution of the dynamic game model is also proved and solved. Finally, the dynamic resource allocation model's effectiveness verified through simulation and evaluated its performance in an experimental environment.