This paper introduces the Categorical Graph Model for Conflict Resolution (C-GMCR), a novel framework that integrates category theory into the traditional Graph Model for Conflict Resolution (GMCR). The C-GMCR framework provides a more abstract and general way to model and analyze conflict resolution, enabling researchers to uncover deeper insights and connections. We present the basic concepts, methods, and application of the C-GMCR framework to the well-known Prisoner's Dilemma and other representative cases. The findings suggest that the categorical approach offers new perspectives on stability concepts and can potentially lead to the development of more effective conflict resolution strategies.

翻译：本文提出了冲突解决的范畴图模型（C-GMCR），这是一种将范畴论融入传统冲突解决图模型（GMCR）的新框架。C-GMCR框架为建模和分析冲突解决提供了一种更抽象、更普适的方法，使研究者能够揭示更深层次的见解与关联。我们阐述了C-GMCR框架的基本概念、方法及其在经典囚徒困境及其他代表性案例中的应用。研究结果表明，范畴论方法为稳定性概念提供了新视角，并有可能推动更有效冲突解决策略的发展。