Abstract
Social conflict between people insisting on environment and people insisting on development comes to be seen frequently. Especially, this tendency is conspicuous in the water resources development whose circle of influence is generally widespread. Management of such conflict between them must be considered on a future development project in order to avoid intensification and prolongation of useless conflict. In this paper, a mathematical model is built up to analyze such conflict and to see what kind of equilibrium states could occur. The model mainly consists of two parts. One is about changing process of strategy, which interest persons would choose. Another is the model about preference of interest persons, which is needed to set a pay-off matrix in the first part of the model. Furthermore, the model is applied to Nagara River Problem as a case study.