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Strength of Preference in the Graph Model for Conflict Resolution

Author

Listed:
  • Luai Hamouda

    (University of Waterloo)

  • D. Marc Kilgour

    (Wilfrid Laurier University)

  • Keith W. Hipel

    (University of Waterloo)

Abstract

A new preference structure that includes a simple relative measure of strength of preference is developed and integrated into some of the stability definitions for the graph model for conflict resolution. In this triplet preference structure, a decision-maker may greatly prefer or prefer one state or scenario to another, or may be indifferent between them. Four stability definitions (solution concepts), Nash stability (R), general metarationality (GMR), symmetric metarationality (SMR), and sequential stability (SEQ), are extended to include strong and weak stabilities for the case of conflicts with two decision makers. Theorems that clarify the interrelationships of the strong and weak versions of these solution concepts are presented. The application of this new preference structure and the associated solution concepts is demonstrated in an environmental conflict model, called the Sustainable Development Conflict. This case shows that valuable strategic insights are gained when strength of preference is integrated into the stability analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:grdene:v:13:y:2004:i:5:d:10.1023_b:grup.0000045751.21207.35
    DOI: 10.1023/B:GRUP.0000045751.21207.35
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    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. 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.
    5. Peng Xu & Haiyan Xu & Ginger Y. Ke, 2018. "Integrating an Option-Oriented Attitude Analysis into Investigating the Degree of Stabilities in Conflict Resolution," Group Decision and Negotiation, Springer, vol. 27(6), pages 981-1010, December.
    6. 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.
    7. 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.
    8. 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.
    9. Garcia, Amanda & Obeidi, Amer & Hipel, Keith W., 2016. "Two methodological perspectives on the Energy East Pipeline conflict," Energy Policy, Elsevier, vol. 91(C), pages 397-409.
    10. 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.
    11. 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.
    12. Garcia, A. & Hipel, K.W., 2017. "Inverse engineering preferences in simple games," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 184-194.
    13. Jing Yu & Ling-Ling Pei, 2018. "Investigation of a Brownfield Conflict Considering the Strength of Preferences," IJERPH, MDPI, vol. 15(2), pages 1-11, February.
    14. 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.
    15. 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.
    16. Haiyan Xu & D. Marc Kilgour & Keith W. Hipel, 2011. "Matrix Representation of Conflict Resolution in Multiple-Decision-Maker Graph Models with Preference Uncertainty," Group Decision and Negotiation, Springer, vol. 20(6), pages 755-779, November.
    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. 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. 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.
    20. 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.
    21. 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.

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