Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers

摘要

In this work, we generalize a solution concept, called symmetric sequential stability (SSEQ), in the graph model for conflict resolution (GMCR) for conflicts involving n decision makers. We present new relations of this concept with existing stability definitions in the GMCR, namely: Nash stability, general metarational stability, symmetric metarational stability, sequential stability, limited-move stability of horizon 3 and credible metarational stable states of 2 rounds. We also present the SSEQ stability definition for a coalition and its relationship with existing solution concepts in that case. Finally, SSEQ stability is extended for GMCR with uncertain, probabilistic and fuzzy preferences.