Abstract
Trans-boundary water conflicts and the ensuing social security have become concerning issues. However, the existing studies regarding trans-boundary water management mainly focus on river basin countries while ignoring the important role of third-party mediation institutions in resolving water conflicts. Thus, river basin countries and third-party mediation institutions are the objects of this research, which focuses on the strategies and behavior of third-party mediation institutions that are significant in alleviating conflict situations and formulating sustainable trans-boundary water resource allocation plans. The factors that influence the decision-making of third-party mediation institutions are determined based on other decision makers’ (DMs’) known preferences. Therefore, according to the uncertainty theory and the cognitive preference model, a novel inverse problem model of the graph model for conflict resolution is constructed to obtain the required DM preference information in complex and uncertain conflicts. Then, the new proposed method is applied to trans-boundary water conflicts in the Lancang-Mekong River Basin to illustrate its correctness and practicality. The results show that (1) a third-party management institution can directly promote a win–win situation among all DMs by obtaining other DMs’ preferences; (2) effective supervision by a third party can promote all those involved to reach a stable state faster; and (3) third parties can promote sustainable trans-boundary water resource allocation. The proposed methods and analysis results offer decision-making support for third-party management institutions in trans-boundary water resource conflicts and provide a scientific basis for mediating similar water resource conflicts within and beyond China.
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References
Bashar MA, Kilgour DM, Hipel KW (2012) Fuzzy preferences in the graph model for conflict resolution. IEEE Trans Fuzzy Syst 20(4):760–770
Bozóki S, Fülöp J, Rónyai L (2010) On optimal completion of incomplete pairwise comparison matrices. Math Comput Model 52(1):318–333
Cai X (2008) Water stress, water transfer and social equity in Northern China—Implications for policy reforms. J Environ Manage 87(1):14–25
Chang S, Qin W, Wang X (2018) Dynamic optimal strategies in transboundary pollution game under learning by doing. Physica A 490:139–147
Choo EU, Wedley WC (2004) A common framework for deriving preference values from pairwise comparison matrices. Comput Oper Res 31(6):893–908
Dong Y, Zhang G, Hong WC et al (2010) Consensus models for AHP group decision making under row geometric mean prioritization method. Decis Support Syst 49(3):281–289
Eslamian S, Parvizi S, Ostad-Ali-Askari K et al (2018) Water. In: Bobrowsky P, Marker B (eds) Encyclopedia of engineering geology. Encyclopedia of Earth Sciences Series. Springer, Cham
Fang L, Hipel KW, Kilgour DM (1993) Interactive decision making: The graph model for conflict resolution. Wiley, New York
Fraser NM, Hipel KW (1979) Solving complex conflicts. IEEE Trans Syst Man Cybern 9(12):805–816
Fraser NM, Hipel KW (1984) Conflict analysis: models and resolution. North-Holland, New York
Gao X, Shen J, He W et al (2021) Spatial-temporal analysis of ecosystem services value and research on ecological compensation in Taihu Lake Basin of Jiangsu Province in China from 2005 to 2018. J Clean Prod 317:128241
Ghashghaie M, Eslami H, Ostad-Ali-Askari K (2022) Applications of time series analysis to investigate components of Madiyan-rood river water quality. Appl Water Sci 12(8):202
Han Y, Xu H, Fang L et al (2022) An integer programming approach to solving the inverse graph model for conflict resolution with two decision makers. Group Decis Negot 31(1):23–48
Hao C, Yan D, Gedefaw M et al (2021) Accounting of rransboundary ecocompensation standards based on water quantity allocation and water quality control targets. Water Resour Manag 35(6):1731–1756
Hemmavanh C, Ye Y, Yoshida A (2010) Forest land use change at Trans-Boundary Laos-China Biodiversity Conservation Area. J Geogr Sci 20(6):889–898
Howard N (1971) Paradoxes of rationality: Theory of metagames and political behavior. MIT Press, Cambridge, MA
Huang Y, Ge B, Hipel KW et al (2023) Solving the inverse graph model for conflict resolution using a hybrid metaheuristic algorithm. Eur J Oper Res 305(2):806–819
Kahsay TN, Kuik O, Brouwer R et al (2018) The transboundary mpacts of trade liberalization and climate change on the Nile Basin economies and water resource availability. Water Resour Manag 32(3):935–947
Kilgour DM, Hipel KW (2005) The graph model for conflict resolution: Past, present, and future. Group Decis Negot 14(6):441–460
Kilgour DM, Hipel KW, Fang L (1987) The graph model for conflicts. Automatica 23(1):41–55
Kinsara RA, Kilgour DM, Hipel KW (2015) Inverse approach to the graph model for conflict resolution. IEEE Trans Syst Man Cybern Syst 45(5):734–742
Kuang H, Bashar MA, Hipel KW et al (2015) Grey-based preference in a graph model for conflict resolution with multiple decision makers. IEEE Trans Syst Man Cybern Syst 45(9):1254–1267
Nash JF (1950) Equilibrium points in n-person games. Proc Natl Acad Sci USA 36(1):48–49
Nash JF (1951) Non-cooperative games. Ann Math 54(2):286–295
Ostad-Ali-Askari K (2022) Investigation of meteorological variables on runoff archetypal using SWAT: basic concepts and fundamentals. Appl Water Sci 12(8):177
Rêgo LC, Silva HV, Rodrigues CD (2021) Optimizing the cost of preference manipulation in the graph model for conflict resolution. Appl Math Comput 392:125729
Sakakibara H, Okada N, Nakase D (2002) The application of robustness analysis to the conflict with incomplete information. IEEE Trans Syst Man Cybern Part C Appl Rev 32(1):14–23
Shahid MA, Boccardo P, Usman M et al (2017) Predicting peak flows in real time through event based hydrologic modeling for a trans-boundary river catchment. Water Resour Manag 31(3):793–810
Shi W, Yu X, Liao W et al (2013) Spatial and temporal variability of daily precipitation concentration in the Lancang River basin, China. J Hydrol 495:197–207
Tacconi L (2012) Redefining payments for environmental services. Ecol Econ 73:29–36
Tao L, Su X, Javed SA (2021) Inverse preference optimization in the graph model for conflict resolution based on the genetic algorithm. Group Decis Negot 30(5):1085–1112
von Neumann J, Morgenstern O (1944) Theory of games and economic behavior. Princeton University Press, Princeton
Wang D, Huang J, Xu Y (2023) Integrating intuitionistic preferences into the graph model for conflict resolution with applications to an ecological compensation conflict in Taihu Lake basin. Appl Soft Comput 135:110036
Wang D, Huang J, Xu Y et al (2022) Water–Energy–Food nexus evaluation using an inverse approach of the graph model for conflict resolution based on incomplete fuzzy preferences. Appl Soft Comput 120:108703
Wang D, Liu G, Xu Y (2024) Information asymmetry in the graph model of conflict resolution and its application to the sustainable water resource utilization conflict in Niangziguan Springs Basin. Expert Syst Appl 237:121409
Wang J, Hipel KW, Fang L et al (2018) Matrix representations of the inverse problem in the graph model for conflict resolution. Eur J Oper Res 270(1):282–293
Wang J, Hipel KW, Fang L et al (2019) Behavioral analysis in the graph model for conflict resolution. IEEE Trans Syst Man Cybern Syst 49(5):904–916
Wu Z, Xu H, Ke GY (2019) The strategy of third-party mediation based on the option prioritization in the graph model. J Syst Sci Syst Eng 28(4):399–414
Xu L, Zhang Q, Shi X (2019) Stakeholders strategies in poverty alleviation and clean energy access: A case study of China’s PV poverty alleviation program. Energy Policy 135:111011
Xu Y, Chen L, Rodriguez RM et al (2016) Deriving the priority weights from incomplete hesitant fuzzy preference relations in group decision making. Knowl Based Syst 99:71–78
Yu S, Lu H (2018) An integrated model of water resources optimization allocation based on projection pursuit model – Grey wolf optimization method in a transboundary river basin. J Hydrol 559:156–165
Zeng Y, Li J, Cai Y et al (2019) A hybrid game theory and mathematical programming model for solving trans-boundary water conflicts. J Hydrol 570:666–681
Zhao L, Li C, Huang R et al (2013) Harmonizing model with transfer tax on water pollution across regional boundaries in a China’s lake basin. Eur J Oper Res 225(2):377–382
Funding
This research was funded by The Belt and Road Special Foundation of The National Key Laboratory of Water Disaster Prevention (Grant No. 2022490711), The Natural Science Foundation of Shandong Province, PR China (Grant No. ZR2023QA036), and The Doctoral Start-up Foundation of Yantai University (Grant No. SX22B42).
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X. Gu: Writing – original draft. L. Gu.: Software, Methodology. D. Wang: Revision, Supervision. S. Jamshidi: Writing – review & editing.
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Gu, X., Gu, L., Wang, D. et al. Resolving Trans-Boundary Water Conflicts: Third-Party Mediation Using an Inverse Approach of GMCR Under Incomplete Preference Environments. Water Resour Manage 37, 6071–6088 (2023). https://doi.org/10.1007/s11269-023-03643-5
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DOI: https://doi.org/10.1007/s11269-023-03643-5