Nonlocal game as a witness of the nonlocality of entanglement is of fundamental importance in various fields. The well-known nonlocal games or equivalent linear Bell inequalities are only useful for Bell networks consisting of single entanglement. Our goal in this paper is to propose a unified method for constructing cooperating games in network scenarios. We propose an efficient method to construct multipartite nonlocal games from any graphs. The main idea is the graph representation of entanglement-based quantum networks. We further specify these graphic games with quantum advantages by providing a simple sufficient and necessary condition. The graphic games imply a linear Bell testing of the nonlocality of general quantum networks consisting of EPR states. It also allows generating new instances going beyond CHSH game. These results have interesting applications in quantum networks, Bell theory, computational complexity, and theoretical computer science.

纠缠非本地性的见证者-非本地博弈在各个领域都具有根本的重要性。众所周知的非局部博弈或等效的线性Bell不等式仅对由单个纠缠组成的Bell网络有用。我们的目标是提出一种在网络场景下构建合作游戏的统一方法。我们提出了一种有效的方法来从任何图形构造多部分非局部博弈。主要思想是基于纠缠的量子网络的图形表示。我们通过提供一个简单的充分必要的条件，进一步说明这些具有量子优势的图形游戏。图形游戏暗示对由EPR状态组成的一般量子网络的非局部性进行线性Bell测试。它还允许生成超越CHSH游戏的新实例。