The application of robustness analysis to the conflict with incomplete information

When players with different interests try to achieve a better state, conflicts among players arise. Conflicts may arise also among public players. For example, a local government may insist on the interest of the region while the national government represents the interests of the whole country. Conflict analysis is one of the methods to model such conflicts mathematically. Its stability analysis specifies stable states based on the ordinal information on players' preferences. However, if the preference of a player is private, stability of states is not known. In such a case, players or third parties have to collect additional information on other players' preference. It is necessary to specify the minimum information to collect. In this paper, graph model for conflict resolution (GMCR) is extended for the cases with incomplete information. Then, the generalized robustness analysis is proposed to specify the minimum conditions for stability of states. Finally, robustness analysis is applied to the conflict on water resources development.