IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v309y2023i2p671-682.html
   My bibliography  Save this article

Optimism pessimism stability in the graph model for conflict resolution for multilateral conflicts

Author

Listed:
  • Sabino, Emerson Rodrigues
  • Rêgo, Leandro Chaves

Abstract

In this article, we introduce a new solution concept for the graph model for conflict resolution (GMCR) for situations where decision makers (DMs) have no information about their opponents’ preferences or act not using this information. Many classical stability concepts used in the GMCR are based on a conservative attitude of DMs. Here we propose to incorporate a degree of optimism to allow for more types of attitudes under uncertainty. More specifically, inspired by the notions of Lh stability and Maximinh stability, we present the Optimism Pessimism stability for conflicts involving any finite number of DMs considering that a DM anticipates his/her own benefits looking an arbitrary number of rounds ahead, called horizon and denoted by h, and uses his/her degree of optimism to evaluate his/her anticipated payoff according to the worst and best scenarios that can be achieved. We investigate how the degree of optimism and the conflict horizon influence the stability of states. We also analyse how the optimism pessimism stability is related to other stabilities commonly used in GMCR. Finally, this new solution concept is applied to the multilateral dispute over water export from Lake Gisborne.

Suggested Citation

  • Sabino, Emerson Rodrigues & Rêgo, Leandro Chaves, 2023. "Optimism pessimism stability in the graph model for conflict resolution for multilateral conflicts," European Journal of Operational Research, Elsevier, vol. 309(2), pages 671-682.
    • Handle: RePEc:eee:ejores:v:309:y:2023:i:2:p:671-682
    DOI: 10.1016/j.ejor.2023.01.038
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221723000711
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2023.01.038?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. 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.
    2. 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.
    3. Rêgo, Leandro Chaves & Kilgour, D. Marc, 2022. "Choice stabilities in the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 301(3), pages 1064-1071.
    4. Luai Hamouda & D. Marc Kilgour & Keith W. Hipel, 2004. "Strength of Preference in the Graph Model for Conflict Resolution," Group Decision and Negotiation, Springer, vol. 13(5), pages 449-462, September.
    5. 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.
    6. 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.
    7. Helena Gaspars-Wieloch, 2018. "The Impact of the Structure of the Payoff Matrix on the Final Decision made Under Uncertainty," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(01), pages 1-27, February.
    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. 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.
    2. 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.
    3. 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.
    4. 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).
    5. 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.
    6. 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).
    7. Berge, Erling, 2023. "How can “tragedies of the commons” be resolved? Social dilemmas and legislation," CLTS Working Papers 1/23, Norwegian University of Life Sciences, Centre for Land Tenure Studies.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Garcia, A. & Hipel, K.W., 2017. "Inverse engineering preferences in simple games," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 184-194.
    17. Haiyan Xu & Yu Han & Ginger Y. Ke & Jun Zhu, 2022. "Modeling and Implementation of a New Negotiation Decision Support System for Conflict Resolution Under Uncertainty," Group Decision and Negotiation, Springer, vol. 31(3), pages 531-553, June.
    18. Suzana de Suzana Dantas Daher & Adiel Teixeira Almeida, 2012. "The Use of Ranking Veto Concept to Mitigate the Compensatory Effects of Additive Aggregation in Group Decisions on a Water Utility Automation Investment," Group Decision and Negotiation, Springer, vol. 21(2), pages 185-204, March.
    19. 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.
    20. 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.

    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:309:y:2023:i:2:p:671-682. 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.