\section{Introduction} The emergence of edge computing has brought about new opportunities for collaborative computing. Cloud edge collaborative computing has been widely used in many fields, such as industrial automation, smart cities, and the Internet of Things (IoT). In this context, multiagent systems (MASs) have been proposed as a promising approach for distributed and collaborative computing. However, the traditional MASs still face challenges such as communication delays, limited bandwidth, and security issues. To address these challenges, we propose a cloud edge collaborative multi-star cooperative game strategy for MASs. The proposed strategy aims to improve the efficiency and security of cloud edge collaborative computing by introducing a cooperative game model. The model considers multiple stars, where each star represents a group of agents that collaborate with each other to achieve a common goal. The game model is designed to encourage cooperation among the stars and ensure the stability of the system. The proposed strategy also incorporates edge computing to reduce communication delays and improve the efficiency of the system. The importance and relevance of this research lie in the fact that it addresses the challenges of cloud edge collaborative computing and proposes a novel solution that can improve the efficiency and security of the system. The proposed strategy can be applied in various fields, such as industrial automation, smart cities, and the IoT, where cloud edge collaborative computing is widely used. The specific research questions that this paper aims to address include: How can we improve the efficiency and security of cloud edge collaborative computing? How can we encourage cooperation among multiple stars in a MAS? How can we ensure the stability of the system? To answer these questions, we propose a cloud edge collaborative multi-star cooperative game strategy for MASs. Related works have been proposed in the literature, such as the work of \citet{li2021adaptive} and \citet{yang2022security}. However, the proposed strategy differs from these works in that it introduces a cooperative game model that considers multiple stars and incorporates edge computing to improve the efficiency of the system. Additionally, this paper proposes three novel contributions: (1) the introduction of a cooperative game model for cloud edge collaborative computing, (2) the consideration of multiple stars in the game model, and (3) the incorporation of edge computing to improve the efficiency of the system.