Matrix Representation of a Basic Hierarchical Graph Model for Conflict Resolution

摘要

A basic hierarchical graph model for conflict resolution is proposed to handle a hierarchical conflict with two smaller conflicts as components. The hierarchical model can be represented in matrices and its stabilities calculated. This novel methodology is applied to water diversion conflicts in China, where the two subconflicts are caused by the construction of two local subprojects. Strategic analysis can provide decision makers (DMs) with a comprehensive understanding of a conflict and guidance for action. For basic hierarchical graph model, the matrix approach is an effective and convenient way to represent the model, calculate stability results, and predict equilibria.