A Three-Level Hierarchical Graph Model for Conflict Resolution

Abstract

A novel hierarchical graph model is developed to analyze conflicts interrelated on three levels. As an extension of the two-level hierarchical graph model, this new structure contains several smaller graph models, called local graphs, nested at three levels. Decision makers (DMs), states, moves, and preference relations in the three-level hierarchical graph model (3LHGM) are defined. The interrelationships between stabilities in local graph models and the overall graph model are investigated and utilized in developing algorithms to calculate stabilities in the hierarchical graph model. This novel methodology is then illustrated using a generic model of hierarchical climate change governance disputes. Stability calculations can uncover profitable courses of action. The 3LHGM aims to provide insightful resolutions for DMs with a broader vision of the hierarchical conflict they are participating in.