Propositions on interrelationships among attitude-based stability concepts

This paper provides some propositions on interrelationships among attitude-based stability concepts within the graph model for conflict resolution. Concentrating on the cases in which just two decision makers having specific types of attitudes are involved, the authors investigate various interrelationships among such attitude-based stability concepts as relational Nash stability, relational general metarationality, relational symmetric metarationality, and relational sequential stability. In particular, it is verified that under the condition that all of the attitudes of the decision makers are the same, relational Nash stability and relational sequential stability are equivalent to each other.