Conflict models in graph form: Solution concepts and their interrelationships

A comprehensive approach for modeling conflicts is the recently developed graph form of conflict models. Within the flexible structure of the graph model, solution concepts including Nash stability, the various metagame techniques, the sequential stability method of Fraser and Hipel, and Stackelberg equilibrium are defined and characterized. These stability principles are compared with the limited-move and non-myopic stabilities developed previously for the graph model framework and mathematical interrelationships in this very general context are derived. As well, some steps are taken toward the development of a taxonomy of solution concepts for the graph form.