IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v321y2025i3p884-894.html
   My bibliography  Save this article

Interrelationships of Non-cooperative, Classical and Pareto coalitional stability definitions

Author

Listed:
  • Zhu, Ziming
  • Kilgour, D. Marc
  • Hipel, Keith W.
  • Yu, Jing

Abstract

Theorems are established on the interrelationships among non-cooperative, classical and Pareto coalitional stability definitions within the framework of the graph model for conflict resolution. The classical coalition stability concepts are first redefined and then, based on the concept of Pareto coalition improvement, new definitions are proposed for Pareto coalition Nash, Pareto coalition general metarational, Pareto coalition symmetric metarational, and Pareto coalition sequential stability. Relations among Pareto coalition stability definitions, earlier coalition stability definitions, and non-cooperative analogues are explained. The practical applicability of these stability definitions is illustrated through their application to a real-world conflict, a 2014 offshore oil exploration dispute in the South China Sea. The equilibrium results confirm the theoretical validity of the new definitions, and show that valuable insights that can be garnered using the Pareto coalition stability approach.

Suggested Citation

  • Zhu, Ziming & Kilgour, D. Marc & Hipel, Keith W. & Yu, Jing, 2025. "Interrelationships of Non-cooperative, Classical and Pareto coalitional stability definitions," European Journal of Operational Research, Elsevier, vol. 321(3), pages 884-894.
    • Handle: RePEc:eee:ejores:v:321:y:2025:i:3:p:884-894
    DOI: 10.1016/j.ejor.2024.10.035
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221724008385
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2024.10.035?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. 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. 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. Fang, Liping & Hipel, Keith W. & Kilgour, D. Marc, 1989. "Conflict models in graph form: Solution concepts and their interrelationships," European Journal of Operational Research, Elsevier, vol. 41(1), pages 86-100, July.
    5. Takehiro Inohara & Keith W. Hipel, 2008. "Coalition analysis in the graph model for conflict resolution," Systems Engineering, John Wiley & Sons, vol. 11(4), pages 343-359, December.
    6. D. Marc Kilgour & Keith W. Hipel, 2005. "The Graph Model for Conflict Resolution: Past, Present, and Future," Group Decision and Negotiation, Springer, vol. 14(6), pages 441-460, November.
    7. 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.
    8. Yu Han & Haiyan Xu & Liping Fang & Keith W. Hipel, 2022. "An Integer Programming Approach to Solving the Inverse Graph Model for Conflict Resolution with Two Decision Makers," Group Decision and Negotiation, Springer, vol. 31(1), pages 23-48, February.
    9. Steven J. Brams & Donald Wittman, 1981. "Nonmyopic Equilibria in 2×2 Games," Conflict Management and Peace Science, Peace Science Society (International), vol. 6(1), pages 39-62, September.
    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. Giannini Italino Alves Vieira & Leandro Chaves Rêgo, 2020. "Berge Solution Concepts in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 29(1), pages 103-125, February.
    2. Zhu, Yan & Dong, Yucheng & Zhang, Hengjie & Fang, Liping, 2025. "Exploring the minimum cost conflict mediation path to a desired resolution within the inverse graph model framework," European Journal of Operational Research, Elsevier, vol. 321(2), pages 543-564.
    3. Leandro Chaves Rêgo & France E. G. Oliveira, 2023. "An Extension of Higher-Order Sequential Stabilities for Multilateral Conflicts and for Coalitional Analysis in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 32(5), pages 1117-1141, October.
    4. 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.
    5. 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.
    6. Xiufen Gu & Lailei Gu & Dayong Wang & Sajad Jamshidi, 2023. "Resolving Trans-Boundary Water Conflicts: Third-Party Mediation Using an Inverse Approach of GMCR Under Incomplete Preference Environments," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(15), pages 6071-6088, December.
    7. Meraj Sohrabi & Zeynab Banoo Ahani Amineh & Mohammad Hossein Niksokhan & Hossein Zanjanian, 2023. "A framework for optimal water allocation considering water value, strategic management and conflict resolution," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(2), pages 1582-1613, February.
    8. 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.
    9. Takehiro Inohara & Keith W. Hipel, 2008. "Coalition analysis in the graph model for conflict resolution," Systems Engineering, John Wiley & Sons, vol. 11(4), pages 343-359, December.
    10. Fritz W. Scharpf, 1991. "Response to Steven J. Brams and Bruno S. Frey," Rationality and Society, , vol. 3(2), pages 261-265, April.
    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. Leandro Chaves Rêgo & France E. G. Oliveira, 2020. "Higher-order Sequential Stabilities in the Graph Model for Conflict Resolution for Bilateral Conflicts," Group Decision and Negotiation, Springer, vol. 29(4), pages 601-626, August.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Keith W. Hipel & D. Marc Kilgour & Rami A. Kinsara, 2014. "Strategic Investigations of Water Conflicts in the Middle East," Group Decision and Negotiation, Springer, vol. 23(3), pages 355-376, May.
    18. Felipe Costa Araujo & Alexandre Bevilacqua Leoneti, 2020. "Evaluating the Stability of the Oil and Gas Exploration and Production Regulatory Framework in Brazil," Group Decision and Negotiation, Springer, vol. 29(1), pages 143-156, February.
    19. Qingye Han & Yuming Zhu & Ginger Y. Ke & Hongli Lin, 2019. "A Two-Stage Decision Framework for Resolving Brownfield Conflicts," IJERPH, MDPI, vol. 16(6), pages 1-19, March.
    20. Xu, Haiyan & Marc Kilgour, D. & Hipel, Keith W. & Kemkes, Graeme, 2010. "Using matrices to link conflict evolution and resolution in a graph model," European Journal of Operational Research, Elsevier, vol. 207(1), pages 318-329, November.

    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:321:y:2025:i:3:p:884-894. 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.