摘要
Water distribution in transboundary rivers is a complex issue since it involves a number of environmental, socio-economic, technical, and national security factors. Based on the analysis of the characteristics of water distribution in transboundary rivers, this paper develops a generalized uncooperative planar game theory model to aid in analyzing transboundary river water distribution scenarios, in which the concept of diplomatic cost is proposed originally. The existence of a Nash equilibrium solution has been proved in terms of the model’s Nikaido–Isoda function. Then, the optimal water quantity exploited from the transboundary river, and that obtained in other ways are solved with the first-order optimality conditions. A proper method for determining the ratio of exploited river water to the whole used water is proposed. Finally, a case study is used to analyze the influences of the Nash equilibrium solution’s parameters on the solution itself.