Abstract
The Graph Model for Conflict Resolution (GMCR) is a mathematical framework for analyzing a conflict among many decision makers (DMs). Using the framework of the GMCR requires the information of the DMs' preference. Even if complete preferences of DMs are obtained, however, the preferences might be updated by new information. In this research, under the assumption of the completeness of DMs' preferences, by incorporating the stability strength of the conflict states caused by preference gaps into the framework of the GMCR, new solution concepts are proposed with the consideration of the possibility that DMs' preferences is updated by new information.
