IDEAS home Printed from https://ideas.repec.org/a/spr/grdene/v29y2020i4d10.1007_s10726-020-09668-0.html
   My bibliography  Save this article

Higher-order Sequential Stabilities in the Graph Model for Conflict Resolution for Bilateral Conflicts

Author

Listed:
  • Leandro Chaves Rêgo

    (Universidade Federal do Ceará
    Universidade Federal de Pernambuco)

  • France E. G. Oliveira

    (Universidade Federal de Pernambuco)

Abstract

The Graph Model for Conflict Resolution (GMCR) is a flexible model and has been widely used for describing and analyzing conflicts. Stability analysis is used in the GMCR to determine possible solutions for the conflict. Several solution concepts have been proposed which accommodate different decision makers’ (DMs) behavior. Some of them are: Nash, General Metarationality (GMR) and Sequential Stability (SEQ). For a state to be Nash stable for a DM, such DM cannot move to a more preferred state in a single step. For GMR and SEQ, while considering moving to a more preferred state, the DM foresees whether the opponent can react leading the conflict to a state not preferred to the current one. What differs GMR and SEQ is that, in SEQ the opponent’s move simultaneously sanctions the focal DM and benefits the opponent. We show, by means of an example, that there are situations in which the opponent’s reaction is implausible in the sense that it involves the opponent leaving an SEQ stable state for him. In order to avoid that problem, we propose new solution concepts for the GMCR, called Higher-order Sequential Stabilities, and explore their relation with other solution concepts commonly used in the GMCR.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:29:y:2020:i:4:d:10.1007_s10726-020-09668-0
    DOI: 10.1007/s10726-020-09668-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10726-020-09668-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10726-020-09668-0?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. 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.
    2. 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.
    3. 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.
    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. 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.
    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. 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.
    2. M. Nassereddine & M. A. Ellakkis & A. Azar & M. D. Nayeri, 2021. "Developing a Multi-methodology for Conflict Resolution: Case of Yemen’s Humanitarian Crisis," Group Decision and Negotiation, Springer, vol. 30(2), pages 301-320, April.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. M. Ghanbarpour & Keith Hipel, 2009. "Sustainable development conflict over freeway construction," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 11(2), pages 241-253, April.
    12. M. Abul Bashar & Keith W. Hipel & D. Marc Kilgour & Amer Obeidi, 2018. "Interval fuzzy preferences in the graph model for conflict resolution," Fuzzy Optimization and Decision Making, Springer, vol. 17(3), pages 287-315, September.
    13. Ricardo Lopes Andrade & Maísa Mendonça Silva & Leandro Chaves Rêgo, 2023. "A Scientometric and Social Network Analysis of the Literature on the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 32(5), pages 1061-1082, October.
    14. 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.
    15. Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2019. "Probabilistic Option Prioritizing in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 28(6), pages 1149-1165, December.
    16. Peng, Benhong & Zhao, Yinyin & Elahi, Ehsan & Wan, Anxia, 2023. "Can third-party market cooperation solve the dilemma of emissions reduction? A case study of energy investment project conflict analysis in the context of carbon neutrality," Energy, Elsevier, vol. 264(C).
    17. 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.
    18. Fritz W. Scharpf, 1991. "Games Real Actors Could Play: The Challenge of Complexity," Journal of Theoretical Politics, , vol. 3(3), pages 277-304, July.
    19. Shafi, Ahsan & Wang, Zhanqi & Ehsan, Muhsan & Riaz, Faizan Ahmed & Ali, Muhammad Rashid & Xu, Feng, 2023. "A game theory approach to land acquisition conflicts in Pakistan," Land Use Policy, Elsevier, vol. 132(C).
    20. Shawei He & Xiaohui Liu & Xianmei Li, 2023. "A Graph Model for Conflict Resolution with Time-varying Attitudes and Its Application to China-US Trade Disputes," Group Decision and Negotiation, Springer, vol. 32(3), pages 603-631, June.

    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:grdene:v:29:y:2020:i:4:d:10.1007_s10726-020-09668-0. 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.