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Coalition Analysis in Group Decision Support

Author

Listed:
  • D. Marc Kilgour

    (Wilfrid Laurier University)

  • Keith W. Hipel

    (University of Waterloo)

  • Liping Fang

    (Ryerson Polytechnic University)

  • Xiaoyong (John) Peng

    (University of Waterloo)

Abstract

GMCR II, a decision support system based on the Graph Model for Conflict Resolution, now contains an algorithm for Coalition Analysis to alert users that certain decision-makers would find it both feasible and beneficial to co-ordinate their actions. The theory and implementation of Coalition Analysis in GMCR II are discussed and illustrated.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:grdene:v:10:y:2001:i:2:d:10.1023_a:1008713120075
    DOI: 10.1023/A:1008713120075
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    References listed on IDEAS

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    1. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    2. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    3. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    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. 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.
    5. Al-Mutairi, M.S. & Hipel, K.W. & Kamel, M.S., 2008. "Trust and cooperation from a fuzzy perspective," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(5), pages 430-446.
    6. 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.
    7. 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.
    8. Wu, Nannan & Xu, Yejun & Kilgour, D. Marc & Fang, Liping, 2023. "The graph model for composite decision makers and its application to a water resource conflict," European Journal of Operational Research, Elsevier, vol. 306(1), pages 308-321.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Kedong Yin & Li Yu & Xuemei Li, 2017. "An Improved Graph Model for Conflict Resolution Based on Option Prioritization and Its Application," IJERPH, MDPI, vol. 14(11), pages 1-14, October.
    15. 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.
    16. 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.
    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. 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.
    19. 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.
    20. Haiyan Xu & D. Kilgour & Keith Hipel & Edward McBean, 2014. "Theory and implementation of coalitional analysis in cooperative decision making," Theory and Decision, Springer, vol. 76(2), pages 147-171, February.
    21. 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.

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