In response to the “cloud-edge-terminal” three-layer edge network architecture, this paper proposes a resource sharing algorithm for edge devices assisted by a tripartite incentive mechanism to manage and allocate shared resources. Firstly, considering single-point network congestion, network-wide coverage constraints, limited resource constraints, and transmission cost constraints, edge devices are abstracted as functional nodes. A convex hull-based sharing node selection algorithm is designed to achieve a fully covered, low-energy shared resource deployment solution. Secondly, to address the additional cost problem caused by allocating shared resources on edge devices, a tripartite sharing incentive mechanism based on a shared resource leasing model is designed to ensure the long-term stable participation of edge devices in the sharing mechanism. By leveraging Edge AI for efficient data processing, 5G for ultra-high-speed connectivity, Blockchain for enhanced security, and EaaS for flexible resource management, the proposed algorithm significantly improves system energy consumption and node revenue compared to existing algorithms.