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A general hierarchical graph model for conflict resolution with application to greenhouse gas emission disputes between USA and China

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  • He, Shawei
  • Marc Kilgour, D.
  • Hipel, Keith W.

Abstract

The general hierarchical graph model, a significant expansion of the graph model for conflict resolution methodology, is designed to analyze interrelated conflicts with hierarchical structures. In a general hierarchical graph model, there are common decision makers, who take part in all related subconflicts, and local decision makers, who participate in only one subconflict. In this paper, preference structures for decision makers in a hierarchical graph model are established, and theorems are developed that elucidate the relationship between stabilities in the overall (hierarchical) model and stabilities in the component submodels. To illustrate, the hierarchical graph model is applied to greenhouse gas emission disputes between USA and China, where local decision makers in the USA are the two parties in Congress, and local decision makers in China are state-owned energy companies. The stability results suggest potential strategic resolutions of bilateral disputes, and how parties can attain them.

Suggested Citation

  • He, Shawei & Marc Kilgour, D. & Hipel, Keith W., 2017. "A general hierarchical graph model for conflict resolution with application to greenhouse gas emission disputes between USA and China," European Journal of Operational Research, Elsevier, vol. 257(3), pages 919-932.
    • Handle: RePEc:eee:ejores:v:257:y:2017:i:3:p:919-932
    DOI: 10.1016/j.ejor.2016.08.014
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    1. 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.
    2. J Brimberg & N Mladenovic & S Salhi, 2004. "The multi-source Weber problem with constant opening cost," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(6), pages 640-646, June.
    3. DeCanio, Stephen J. & Fremstad, Anders, 2013. "Game theory and climate diplomacy," Ecological Economics, Elsevier, vol. 85(C), pages 177-187.
    4. Parkash Chander & Henry Tulkens, 2006. "A Core-Theoretic Solution for the Design of Cooperative Agreements on Transfrontier Pollution," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 176-193, Springer.
    5. Vaillancourt, Kathleen & Waaub, Jean-Philippe, 2004. "Equity in international greenhouse gases abatement scenarios: A multicriteria approach," European Journal of Operational Research, Elsevier, vol. 153(2), pages 489-505, March.
    6. Georgopoulou, E. & Sarafidis, Y. & Mirasgedis, S. & Zaimi, S. & Lalas, D. P., 2003. "A multiple criteria decision-aid approach in defining national priorities for greenhouse gases emissions reduction in the energy sector," European Journal of Operational Research, Elsevier, vol. 146(1), pages 199-215, April.
    7. Hämäläinen, Raimo P. & Luoma, Jukka & Saarinen, Esa, 2013. "On the importance of behavioral operational research: The case of understanding and communicating about dynamic systems," European Journal of Operational Research, Elsevier, vol. 228(3), pages 623-634.
    8. Stuart Arthur Harris (ed.), 2010. "Global Warming," Books, IntechOpen, number 818, January-J.
    9. Stephen C. Peck & Thomas J. Teisberg, 1999. "CO2 Emissions Control Agreements: Incentives for Regional Participation," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 367-390.
    10. Kaveh Madani & Keith Hipel, 2011. "Non-Cooperative Stability Definitions for Strategic Analysis of Generic Water Resources Conflicts," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(8), pages 1949-1977, June.
    11. Courtois, Pierre & Tazdaït, Tarik, 2007. "Games of influence in climate change negotiations: Modelling interactions," Ecological Modelling, Elsevier, vol. 204(3), pages 301-314.
    12. Madeleine Heyward, 2007. "Equity and international climate change negotiations: a matter of perspective," Climate Policy, Taylor & Francis Journals, vol. 7(6), pages 518-534, November.
    13. 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.
    14. Gvozdeva, Tatiana & Hameed, Ali & Slinko, Arkadii, 2013. "Weightedness and structural characterization of hierarchical simple games," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 181-189.
    15. Forgo, Ferenc & Fulop, Janos & Prill, Maria, 2005. "Game theoretic models for climate change negotiations," European Journal of Operational Research, Elsevier, vol. 160(1), pages 252-267, January.
    16. Mark Walker & John Wooders, 2001. "Minimax Play at Wimbledon," American Economic Review, American Economic Association, vol. 91(5), pages 1521-1538, December.
    17. Mingers, John & White, Leroy, 2010. "A review of the recent contribution of systems thinking to operational research and management science," European Journal of Operational Research, Elsevier, vol. 207(3), pages 1147-1161, December.
    18. S. L. George, 1973. "Optimal Strategy in Tennis: A Simple Probabilistic Model," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(1), pages 97-104, March.
    19. 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.
    20. Ciscar, Juan Carlos & Soria, Antonio, 2002. "Prospective analysis of beyond Kyoto climate policy: a sequential game framework," Energy Policy, Elsevier, vol. 30(15), pages 1327-1335, December.
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    Cited by:

    1. Wang, Junjie & Hipel, Keith W. & Fang, Liping & Dang, Yaoguo, 2018. "Matrix representations of the inverse problem in the graph model for conflict resolution," European Journal of Operational Research, Elsevier, vol. 270(1), pages 282-293.
    2. Samaniego Rascón, Danyela & Ferreira, Almerindo D. & Gameiro da Silva, Manuel, 2017. "Cumulative and momentary skin exposures to solar radiation in central receiver solar systems," Energy, Elsevier, vol. 137(C), pages 336-349.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.

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