Power Asymmetry in Basic Hierarchical Graph Model for Conflict Resolution

The hierarchical graph model for conflict resolution (HGMCR) serves as a powerful tool for analyzing multiple interrelated conflicts, in which decision makers (DMs) at different levels are brought together and assumed to have symmetrical power. In some hierarchical conflicts, however, the DMs may vary in power and influence the ultimate conflict resolution at diverse extents. Accordingly, this paper aims to introduce the power asymmetry into basic HGMCR (B HGMCR) to resolve more complex hierarchical conflict problems. Initially, power dynamics are defined to capture the preference relations of DMs under power asymmetry. Then, matrix-based BHGMCR modeling under power asymmetry is presented, followed by the expansion of four classic stability definitions. Finally, a case study on carbon emission conflict is used to demonstrate that the proposed approach can handle the real-world hierarchical conflicts. The intervention of government power can promote carbon reform in a global perspective.