IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v306y2023i1p308-321.html
   My bibliography  Save this article

The graph model for composite decision makers and its application to a water resource conflict

Author

Listed:
  • Wu, Nannan
  • Xu, Yejun
  • Kilgour, D. Marc
  • Fang, Liping

Abstract

To analyze a strategic conflict involving composite decision makers (CDMs), this paper uses the methodology of the Graph Model for Conflict Resolution (GMCR). A CDM is a group of individuals with differing decision characteristics – conservative or aggressive – any one of whom can make a decision on behalf of the group. In our model, a conservative CDM makes moves that take into account the interests of all group members, aiming to protect each one from possible sanctions; an aggressive CDM gives priority to some individuals that will benefit and does not necessarily consider the interests of other group members when making moves. Based on these different decision characteristics, two versions of hesitant fuzzy stability definitions, indexed I and II, are proposed. To facilitate the stability analysis of the graph model with multiple decision makers (DMs), including at least one CDM, a matrix-based method called Matrix Representation for Hesitant Fuzzy Stability is developed to identify the equilibria of the model, or states that are stable for all DMs and are therefore possible resolutions of the conflict. A water resource conflict in the Lancang-Mekong River basin is utilized to demonstrate the system. The results reveal how the decision characteristics of CDMs can influence the equilibria of a conflict.

Suggested Citation

  • Wu, Nannan & Xu, Yejun & Kilgour, D. Marc & Fang, Liping, 2023. "The graph model for composite decision makers and its application to a water resource conflict," European Journal of Operational Research, Elsevier, vol. 306(1), pages 308-321.
    • Handle: RePEc:eee:ejores:v:306:y:2023:i:1:p:308-321
    DOI: 10.1016/j.ejor.2022.07.046
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221722006178
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2022.07.046?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. Zhao, Shinan & Xu, Haiyan & Hipel, Keith W. & Fang, Liping, 2019. "Mixed stabilities for analyzing opponents’ heterogeneous behavior within the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 277(2), pages 621-632.
    2. He, Shawei & Marc Kilgour, D. & Hipel, Keith W., 2017. "A general hierarchical graph model for conflict resolution with application to greenhouse gas emission disputes between USA and China," European Journal of Operational Research, Elsevier, vol. 257(3), pages 919-932.
    3. D. Marc Kilgour & Keith W. Hipel & Liping Fang & Xiaoyong (John) Peng, 2001. "Coalition Analysis in Group Decision Support," Group Decision and Negotiation, Springer, vol. 10(2), pages 159-175, March.
    4. Wang, Junjie & Hipel, Keith W. & Fang, Liping & Dang, Yaoguo, 2018. "Matrix representations of the inverse problem in the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 270(1), pages 282-293.
    5. Kevin W. Li & Keith W. Hipel & D. Marc Kilgour & Donald Noakes, 2005. "Integrating Uncertain Preferences into Status Quo Analysis with Applications to an Environmental Conflict," Group Decision and Negotiation, Springer, vol. 14(6), pages 461-479, November.
    6. Haiyan Xu & Keith Hipel & D. Kilgour & Ye Chen, 2010. "Combining strength and uncertainty for preferences in the graph model for conflict resolution with multiple decision makers," Theory and Decision, Springer, vol. 69(4), pages 497-521, October.
    Full references (including those not matched with items on IDEAS)

    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. Liangyan Tao & Xuebi Su & Saad Ahmed Javed, 2021. "Inverse Preference Optimization in the Graph Model for Conflict Resolution based on the Genetic Algorithm," Group Decision and Negotiation, Springer, vol. 30(5), pages 1085-1112, October.
    2. Huang, Yuming & Ge, Bingfeng & Hipel, Keith W. & Fang, Liping & Zhao, Bin & Yang, Kewei, 2023. "Solving the inverse graph model for conflict resolution using a hybrid metaheuristic algorithm," European Journal of Operational Research, Elsevier, vol. 305(2), pages 806-819.
    3. He, Shawei, 2022. "A time sensitive graph model for conflict resolution with application to international air carbon negotiation," European Journal of Operational Research, Elsevier, vol. 302(2), pages 652-670.
    4. Zhao, Shinan & Xu, Haiyan & Hipel, Keith W. & Fang, Liping, 2019. "Mixed stabilities for analyzing opponents’ heterogeneous behavior within the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 277(2), pages 621-632.
    5. Yu Han & Haiyan Xu & Ginger Y. Ke, 2020. "Construction and application of hyper-inverse conflict models based on the sequential stability," EURO Journal on Decision Processes, Springer;EURO - The Association of European Operational Research Societies, vol. 8(3), pages 237-259, November.
    6. Haiyan Xu & D. Kilgour & Keith Hipel & Edward McBean, 2014. "Theory and implementation of coalitional analysis in cooperative decision making," Theory and Decision, Springer, vol. 76(2), pages 147-171, February.
    7. Augusto Getirana & Valéria de Fátima Malta, 2010. "Investigating Strategies of an Irrigation Conflict," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(12), pages 2893-2916, September.
    8. Ming Tang & Huchang Liao, 2022. "A graph model for conflict resolution with inconsistent preferences among large-scale participants," Fuzzy Optimization and Decision Making, Springer, vol. 21(3), pages 455-478, September.
    9. Sean B. Walker & Keith W. Hipel, 2017. "Strategy, Complexity and Cooperation: The Sino-American Climate Regime," Group Decision and Negotiation, Springer, vol. 26(5), pages 997-1027, September.
    10. Kedong Yin & Li Yu & Xuemei Li, 2017. "An Improved Graph Model for Conflict Resolution Based on Option Prioritization and Its Application," IJERPH, MDPI, vol. 14(11), pages 1-14, October.
    11. Keith W. Hipel & Liping Fang & D. Marc Kilgour, 2020. "The Graph Model for Conflict Resolution: Reflections on Three Decades of Development," Group Decision and Negotiation, Springer, vol. 29(1), pages 11-60, February.
    12. Shawei He, 2019. "Coalition Analysis in Basic Hierarchical Graph Model for Conflict Resolution with Application to Climate Change Governance Disputes," Group Decision and Negotiation, Springer, vol. 28(5), pages 879-906, October.
    13. Shinan Zhao & Haiyan Xu, 2019. "A Novel Preference Elicitation Technique Based on a Graph Model and Its Application to a Brownfield Redevelopment Conflict in China," IJERPH, MDPI, vol. 16(21), pages 1-14, October.
    14. Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2017. "Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers," Group Decision and Negotiation, Springer, vol. 26(4), pages 775-792, July.
    15. Al-Mutairi, M.S. & Hipel, K.W. & Kamel, M.S., 2008. "Trust and cooperation from a fuzzy perspective," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 430-446.
    16. Inohara, Takehiro, 2016. "State transition time analysis in the Graph Model for Conflict Resolution," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 372-382.
    17. 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.
    18. Inohara, Takehiro, 2023. "Similarities, differences, and preservation of efficiencies, with application to attitude analysis, within the Graph Model for Conflict Resolution," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1330-1348.
    19. Keith W. Hipel & Amer Obeidi, 2005. "Trade versus the environment: Strategic settlement from a systems engineering perspective," Systems Engineering, John Wiley & Sons, vol. 8(3), pages 211-233, September.
    20. Nannan Wu & Yejun Xu & D. Marc Kilgour, 2019. "Water allocation analysis of the Zhanghe River basin using the Graph Model for Conflict Resolution with incomplete fuzzy preferences," Sustainability, MDPI, vol. 11(4), pages 1-17, February.

    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:eee:ejores:v:306:y:2023:i:1:p:308-321. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.