IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v30y2016i1p225-241.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-015-1158-9
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11269-015-1158-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    2. A. Ganji & D. Khalili & M. Karamouz & K. Ponnambalam & M. Javan, 2008. "A Fuzzy Stochastic Dynamic Nash Game Analysis of Policies for Managing Water Allocation in a Reservoir System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(1), pages 51-66, January.
    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.
    4. Fernandez, Linda, 2002. "Trade's Dynamic Solutions to Transboundary Pollution," Journal of Environmental Economics and Management, Elsevier, vol. 43(3), pages 386-411, May.
    5. Mehmet Kucukmehmetoglu, 2009. "A Game Theoretic Approach to Assess the Impacts of Major Investments on Transboundary Water Resources: The Case of the Euphrates and Tigris," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(15), pages 3069-3099, December.
    6. Armaghan Abed-Elmdoust & Reza Kerachian, 2012. "Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3961-3976, October.
    7. Kaveh Madani & Keith Hipel, 2011. "Non-Cooperative Stability Definitions for Strategic Analysis of Generic Water Resources Conflicts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(8), pages 1949-1977, June.
    8. Giovanni Sechi & Riccardo Zucca & Paola Zuddas, 2013. "Water Costs Allocation in Complex Systems Using a Cooperative Game Theory Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(6), pages 1781-1796, April.
    9. Adams, Gregory & Rausser, Gordon & Simon, Leo, 1996. "Modelling multilateral negotiations: An application to California water policy," Journal of Economic Behavior & Organization, Elsevier, vol. 30(1), pages 97-111, July.
    10. Mojtaba Sadegh & Reza Kerachian, 2011. "Water Resources Allocation Using Solution Concepts of Fuzzy Cooperative Games: Fuzzy Least Core and Fuzzy Weak Least Core," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(10), pages 2543-2573, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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.
    2. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Mehran Homayounfar & Sai Lai & Mehdi Zommorodian & Amin Oroji & Arman Ganji & Sara Kaviani, 2015. "Developing a Non-Discrete Dynamic Game Model and Corresponding Monthly Collocation Solution Considering Variability in Reservoir Inflow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2599-2618, June.
    3. Zhenliang Liao & Phillip Hannam, 2013. "The Mekong Game: Achieving an All-win Situation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2611-2622, May.
    4. Shawei He & Keith Hipel & D. Kilgour, 2014. "Water Diversion Conflicts in China: A Hierarchical Perspective," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(7), pages 1823-1837, May.
    5. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan, 2017. "Monotonic Bargaining Solution for Allocating Critically Scarce Transboundary Water," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2627-2644, July.
    6. 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.
    7. Mehmet Kucukmehmetoglu & Abdurrahman Geymen, 2014. "Transboundary Water Resources Allocation under Various Parametric Conditions: The Case of the Euphrates & Tigris River Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3515-3538, September.
    8. Chunlong Li & Jianzhong Zhou & Shuo Ouyang & Chao Wang & Yi Liu, 2015. "Water Resources Optimal Allocation Based on Large-scale Reservoirs in the Upper Reaches of Yangtze River," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2171-2187, May.
    9. Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    10. Armaghan Abed-Elmdoust & Reza Kerachian, 2012. "Water Resources Allocation Using a Cooperative Game with Fuzzy Payoffs and Fuzzy Coalitions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(13), pages 3961-3976, October.
    11. Maryam Ghashghaie & Safar Marofi & Hossein Marofi, 2014. "Using System Dynamics Method to Determine the Effect of Water Demand Priorities on Downstream Flow," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(14), pages 5055-5072, November.
    12. Armaghan Abed-Elmdoust & Reza Kerachian, 2014. "Evaluating the Relative Power of Water Users in Inter-Basin Water Transfer Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(2), pages 495-509, January.
    13. 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.
    14. Keighobad Jafarzadegan & Armaghan Abed-Elmdoust & Reza Kerachian, 2013. "A Fuzzy Variable Least Core Game for Inter-basin Water Resources Allocation Under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(9), pages 3247-3260, July.
    15. Armaghan Abed-Elmdoust & Reza Kerachian, 2013. "Incorporating Economic and Political Considerations in Inter-Basin Water Allocations: A Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(3), pages 859-870, February.
    16. Javier Alarcón & Alberto Garrido & Luis Juana, 2014. "Managing Irrigation Water Shortage: a Comparison Between Five Allocation Rules Based on Crop Benefit Functions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(8), pages 2315-2329, June.
    17. Yi Xiao & Keith W. Hipel & Liping Fang, 2016. "Incorporating Water Demand Management into a Cooperative Water Allocation Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(9), pages 2997-3012, July.
    18. Hamed Poorsepahy-Samian & Reza Kerachian & Mohammad Nikoo, 2012. "Water and Pollution Discharge Permit Allocation to Agricultural Zones: Application of Game Theory and Min-Max Regret Analysis," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4241-4257, November.
    19. Azadeh Ahmadi & Mohammad Amin Zolfagharipoor & Ali Akbar Afzali, 2019. "Stability Analysis of Stakeholders’ Cooperation in Inter-Basin Water Transfer Projects: a Case Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(1), pages 1-18, January.
    20. Mehdi Zomorodian & Sai Hin Lai & Mehran Homayounfar & Shaliza Ibrahim & Gareth Pender, 2017. "Development and application of coupled system dynamics and game theory: A dynamic water conflict resolution method," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-24, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:waterr:v:30:y:2016:i:1:p:225-241. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.