Due to the rapid growth of multimedia data traffic, the traditional cloud computing model has been greatly challenged in satisfying users' demands for low latency and high bandwidth. Therefore, edge computing is becoming an emerging computing paradigm. The computing capacity of edge devices such as base stations and the short distance between users and base stations enable users to obtain higher service quality. It is still a challenging problem to design edge caching strategy based on the relationship between benefits and costs of edge nodes. Using 5G and collaborative edge computing technology, in a large number of short video application scenarios, this study proposes a collaborative edge caching technology to simultaneously solve the following three problems:(1) by reducing the transmission delay, to improve users' service experience; (2) by cutting down transmission latency to reduce the data transmission pressure of the backbone network; (3) through distributed computing to reduce the workload of the cloud servers. First, a collaborative edge caching model is defined where the edge nodes are equipped with limited storage space, mobile users can access to edge nodes, one node can serve multiple users. Second, a non-cooperative game model is designed to study the cooperative behavior between edge nodes. Each edge node is treated as a player and can make cache initialization and cache replacement strategies. Thirdly, the Nash equilibrium of the game is found, and then a distributed algorithm is designed to reach the equilibrium. Finally, the simulation results show that the proposed edge caching strategy can reduce the latency of users by 20% and reduce the traffic of backbone network by 80%.