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Coalition analysis in the graph model for conflict resolution

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  • Takehiro Inohara
  • Keith W. Hipel

Abstract

Stability definitions for use in coalition analysis are developed within the framework of the Graph Model for Conflict Resolution. Specifically, based on the concept of joint movement by members of a coalition, the noncooperative stability definitions of Nash, general metarational, symmetric metarational, and sequential stability are extended for employment in coalition analysis. To demonstrate how the coalition stability definitions can be conveniently applied to an actual conflict, they are used to investigate a dispute arising over the pollution of an aquifer by a chemical plant located in Elmira, Ontario, Canada, and thereby obtain valuable strategic insight regarding cooperative behavior. © 2008 Wiley Periodicals, Inc. Syst Eng

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  • 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.
    • Handle: RePEc:wly:syseng:v:11:y:2008:i:4:p:343-359
    DOI: 10.1002/sys.20104
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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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