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Status quo analysis in the graph model for conflict resolution

Author

Listed:
  • K W Li

    (Odette School of Business, University of Windsor)

  • D M Kilgour

    (Wilfrid Laurier University)

  • K W Hipel

    (University of Waterloo)

Abstract

The graph model for conflict resolution, an analysis paradigm for strategic conflicts, has mainly relied on stability analysis for its conclusions. This paper proposes algorithms to apply another analysis technique, status quo analysis, to a graph model. Status quo analysis is dynamic and forward-looking, in contrast to Stability Analysis, which is static and contingent. Status quo analysis is carried out by means of a directed graph that tracks moves and countermoves from a status quo state, and a table that records the reachability status of states from the status quo. Different algorithms are proposed to produce status quo diagrams with and without restrictions on moves; more efficient versions of the algorithm for the case of transitive graphs are also put forward. Properties of diagrams generated by different algorithms are investigated. A case study illustrates how status quo analysis can be applied, and how it interacts with other analysis methodologies.

Suggested Citation

  • K W Li & D M Kilgour & K W Hipel, 2005. "Status quo analysis in the graph model for conflict resolution," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 699-707, June.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:6:d:10.1057_palgrave.jors.2601870
    DOI: 10.1057/palgrave.jors.2601870
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    References listed on IDEAS

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    1. 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.
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    Citations

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    Cited by:

    1. 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.
    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. 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.
    4. 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.
    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.
    6. 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.
    7. 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).
    8. 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.
    9. 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.
    10. Kevin W. Li & Jason K. Levy & P. Buckley, 2009. "Enhancing National Security and Energy Security in the Post-911 Era: Group Decision Support for Strategic Policy Analysis under Conditions of Conflict," Group Decision and Negotiation, Springer, vol. 18(4), pages 369-386, July.
    11. Yasir M. Aljefri & Liping Fang & Keith W. Hipel & Kaveh Madani, 2019. "Strategic Analyses of the Hydropolitical Conflicts Surrounding the Grand Ethiopian Renaissance Dam," Group Decision and Negotiation, Springer, vol. 28(2), pages 305-340, April.
    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. 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.
    14. 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.
    15. 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.

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