A fresh perspective on robustness of equilibrium in the Graph Model

A novel approach to rank equilibria based on their robustness using the concept of levels of freedom is proposed to evaluate stability of states in conflicts, modelled within the Graph Model for Conflict Resolution framework. The approach provides insights into equilibrium resiliency to deviation caused by decision makers´ preference changes. This is especially useful to explore the possibility of conflict evolution. Equilibrium states are sensitive to changes in preference when unilateral moves become unilateral improvements. In this new approach, the freedom of a decision maker to deviate from an equilibrium is assessed to reflect its robustness.