On analysis of coalition formation with cooperative game theory and conflict analysis

As an approach to examine coalition formation in a group, we propose a way to transform an expression of cooperation in the group with a game in characteristic function form into a model with which not only cooperation but also competition in the group can be analyzed. By using the way, once we have a game in characteristic function form with the set of all possible coalition structures and the rules of benefit allocation in possible coalitions, we can transform it into the model that can be analyzed in the framework of conflict analysis. Examining examples, we show that the grand coalition, that is, the coalition that all of the members in a group participate, is not always formed, even if it is satisfied that the bigger a coalition is, the bigger the profit of the coalition is.