Refinement of Nash stability using reflexive list functions for the expression of preferences

Using reflexive list functions and the frameworks of games in normal form and the graph model for conflict resolution (GMCR), the author defines a new stability concept, called reflexive Nash stability, which refines Nash stability in a decision making situation where one or more decision makers equally prefer some possible states. A modified chicken game and the Garrison diversion unit (GDU) conflict, which is a realworld international conflict on a large water resources project in North Dakota, are analyzed, and how much the newly proposed stability concept refines Nash equilibria is demonstrated.