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Generalized Uncooperative Planar Game Theory Model for Water Distribution in Transboundary Rivers

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  • Ben Li
  • Guangming Tan
  • Gang Chen

Abstract

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. Copyright Springer Science+Business Media Dordrecht 2016

Suggested Citation

  • Ben Li & Guangming Tan & Gang Chen, 2016. "Generalized Uncooperative Planar Game Theory Model for Water Distribution in Transboundary Rivers," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 225-241, January.
    • Handle: RePEc:spr:waterr:v:30:y:2016:i:1:p:225-241
    DOI: 10.1007/s11269-015-1158-9
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    References listed on IDEAS

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    1. Seemanta Bhagabati & Akiyuki Kawasaki & Mukand Babel & Peter Rogers & Sarawut Ninsawat, 2014. "A Cooperative Game Analysis of Transboundary Hydropower Development in the Lower Mekong: Case of the 3S Sub-basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3417-3437, September.
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    3. Xiqin Wang & Yuan Zhang & Yong Zeng & Changming Liu, 2013. "Resolving Trans-jurisdictional Water Conflicts by the Nash Bargaining Method: A Case Study in Zhangweinan Canal Basin in North China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1235-1247, March.
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    Cited by:

    1. Fariba Avarideh & Jalal Attari & Ali Moridi, 2017. "Modelling Equitable and Reasonable Water Sharing in Transboundary Rivers: the Case of Sirwan-Diyala River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(4), pages 1191-1207, March.
    2. Yousif H. Al-Aqeeli & Thair M. Altaiee & Ali A. Abdulmawjood, 2021. "Proposition of a Multi-Reservoir System Across the Border of Riparian Countries and Specifying Its Operational Outputs by Formulating Simulation Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(15), pages 5225-5241, December.

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