To analyze a strategic conflict involving composite decision makers (CDMs), this paper uses the methodology of the Graph Model for Conflict Resolution (GMCR). A CDM is a group of individuals with differing decision characteristics – conservative or aggressive – any one of whom can make a decision on behalf of the group. In our model, a conservative CDM makes moves that take into account the interests of all group members, aiming to protect each one from possible sanctions; an aggressive CDM gives priority to some individuals that will benefit and does not necessarily consider the interests of other group members when making moves. Based on these different decision characteristics, two versions of hesitant fuzzy stability definitions, indexed I and II, are proposed. To facilitate the stability analysis of the graph model with multiple decision makers (DMs), including at least one CDM, a matrix-based method called Matrix Representation for Hesitant Fuzzy Stability is developed to identify the equilibria of the model, or states that are stable for all DMs and are therefore possible resolutions of the conflict. A water resource conflict in the Lancang-Mekong River basin is utilized to demonstrate the system. The results reveal how the decision characteristics of CDMs can influence the equilibria of a conflict.

为了分析涉及复合决策者 (CDM) 的战略冲突，本文使用了冲突解决图模型 (GMCR) 的方法。CDM 是一组具有不同决策特征（保守或激进）的个人，其中任何一个人都可以代表团队做出决定。在我们的模型中，保守的 CDM 会考虑所有组成员的利益，旨在保护每个成员免受可能的制裁；积极的 CDM 会优先考虑一些会受益的个人，而在采取行动时不一定会考虑其他团体成员的利益。基于这些不同的决策特征，犹豫模糊稳定性定义的两个版本，索引I和II, 被提议。为了促进具有多个决策者 (DM) 的图模型的稳定性分析，包括至少一个 CDM，开发了一种称为犹豫模糊稳定性矩阵表示的基于矩阵的方法来识别模型的平衡，或稳定的状态对于所有 DM，因此是冲突的可能解决方案。利用澜沧江-湄公河流域的水资源冲突来演示该系统。结果揭示了 CDM 的决策特征如何影响冲突的均衡。