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Monotonic Bargaining Solution for Allocating Critically Scarce Transboundary Water

Author

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  • Dagmawi Mulugeta Degefu

    (China Three Gorges University)

  • Weijun He

    (China Three Gorges University)

  • Liang Yuan

    (Hohai University)

Abstract

As much as transboundary river basins can be niches for regional cooperation, they could also be causes for interstate water disputes. The risk of water conflict in these river basins is much higher during water scarcity. As a result, establishing a fair and efficient water allocation mechanism is key for the sustainable sharing of these river basins’ water. In this paper, the authors propose a monotonic water allocation mechanism for transboundary river basins under water scarcity by coupling the bankruptcy theory with the Asymmetric Kalai-Smorodinsky bargaining solution concept. The allocation framework takes into account the aspiration water claims of the sharing countries. Additionally, as a case study, the allocation solution was used to allot the contested water of the Nile among the basin countries. For the medium term water demands the framework allocated 61.67%, 89.80%,91.82% and 61.67% of their water claims to Ethiopia, Sudan, Egypt and to the assumed coalition countries on the White Nile referred in this paper as equatorial states (Uganda, Kenya, Tanzania, Burundi, Rwanda, and Democratic Republic of Congo) respectively. On the other hand, for the long term demands, the allocation scheme allocated 63.65%, 69.36%, 71.42% and 60.41% of their water demands to the riparian countries in the same order. In general, the authors hope that the water allocation scheme applied in this article can contribute to the ongoing efforts to design river sharing solutions to river sharing problems in transboundary river basins by understanding the strategic interaction among riparian countries.

Suggested Citation

  • Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan, 2017. "Monotonic Bargaining Solution for Allocating Critically Scarce Transboundary Water," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2627-2644, July.
  • Handle: RePEc:spr:waterr:v:31:y:2017:i:9:d:10.1007_s11269-017-1648-z
    DOI: 10.1007/s11269-017-1648-z
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    1. Frisvold, George B. & Caswell, Margriet F., 2000. "Transboundary water management: Game-theoretic lessons for projects on the US-Mexico border," Agricultural Economics, Blackwell, vol. 24(1), pages 101-111, December.
    2. Lucia De Stefano & James Duncan & Shlomi Dinar & Kerstin Stahl & Kenneth M Strzepek & Aaron T Wolf, 2012. "Climate change and the institutional resilience of international river basins," Journal of Peace Research, Peace Research Institute Oslo, vol. 49(1), pages 193-209, January.
    3. Awulachew, Seleshi Bekele & Smakhtin, Vladimir & Molden, David & Peden D., 2012. "The Nile River Basin: water, agriculture, governance and livelihoods," IWMI Books, Reports H045307, International Water Management Institute.
    4. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    5. Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November.
    6. Sgobbi, Alessandra & Carraro, Carlo, 2011. "A Stochastic Multiple Players Multi-Issues Bargaining Model for the Piave River Basin," Strategic Behavior and the Environment, now publishers, vol. 1(2), pages 119-150, April.
    7. Awulachew, Seleshi Bekele & Demissie, Solomon & Hagos, Fitsum & Erkossa, Teklu & Peden D., 2012. "Water management intervention analysis in the Nile Basin," Book Chapters,, International Water Management Institute.
    8. Fernandez, Linda, 2009. "Wastewater pollution abatement across an international border," Environment and Development Economics, Cambridge University Press, vol. 14(1), pages 67-88, February.
    9. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    10. Awulachew, Seleshi Bekele & Smakhtin, Vladimir & Molden, David & Peden, D., 2012. "The Nile River Basin: water, agriculture, governance and livelihoods," IWMI Books, International Water Management Institute, number 210740.
    11. Erik Ansink & Carmen Marchiori, 2015. "Reallocating Water: An Application of Sequential Sharing Rules to Cyprus," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 1(04), pages 1-22, December.
    12. Houba, Harold & van der Laan, Gerard & Zeng, Yuyu, 2014. "Asymmetric Nash Solutions in the River Sharing Problem," Strategic Behavior and the Environment, now publishers, vol. 4(4), pages 321-360, December.
    13. Xiqin Wang & Yuan Zhang & Yong Zeng & Changming Liu, 2013. "Resolving Trans-jurisdictional Water Conflicts by the Nash Bargaining Method: A Case Study in Zhangweinan Canal Basin in North China," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(5), pages 1235-1247, March.
    14. Fernandez, Linda, 2002. "Trade's Dynamic Solutions to Transboundary Pollution," Journal of Environmental Economics and Management, Elsevier, vol. 43(3), pages 386-411, May.
    15. Herrero, Carmen & Villar, Antonio, 2001. "The three musketeers: four classical solutions to bankruptcy problems," Mathematical Social Sciences, Elsevier, vol. 42(3), pages 307-328, November.
    16. Erik Ansink & Hans-Peter Weikard, 2012. "Sequential sharing rules for river sharing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(2), pages 187-210, February.
    17. Awulachew, Seleshi Bekele & Smakhtin, Vladimir & Molden, David & Peden D., 2012. "The Nile River Basin: water, agriculture, governance and livelihoods," IWMI Books, Reports H045306, International Water Management Institute.
    18. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    19. Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
    20. Carlo Carraro & Carmen Marchiori & Alessandra Sgobbi, 2005. "Applications of Negotiation Theory to Water Issues," Working Papers 2005.65, Fondazione Eni Enrico Mattei.
    21. Dubra, Juan, 2001. "An asymmetric Kalai-Smorodinsky solution," Economics Letters, Elsevier, vol. 73(2), pages 131-136, November.
    22. Dagmawi Mulugeta Degefu & Weijun He, 2016. "Allocating Water under Bankruptcy Scenario," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(11), pages 3949-3964, September.
    23. 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.
    24. Salman M.A. Salman, 2013. "The Nile Basin Cooperative Framework Agreement: a peacefully unfolding African spring?," Water International, Taylor & Francis Journals, vol. 38(1), pages 17-29, January.
    25. D. Kilgour & Ariel Dinar, 2001. "Flexible Water Sharing within an International River Basin," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 18(1), pages 43-60, January.
    26. N. Gunasekara & S. Kazama & D. Yamazaki & T. Oki, 2014. "Water Conflict Risk due to Water Resource Availability and Unequal Distribution," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 169-184, January.
    27. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & Jian Hua Zhao, 2016. "Water Allocation in Transboundary River Basins under Water Scarcity: a Cooperative Bargaining Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4451-4466, September.
    28. Erik Ansink & Harold Houba, 2014. "The Economics of Transboundary River Management," Tinbergen Institute Discussion Papers 14-132/VIII, Tinbergen Institute.
    29. Ershad Oftadeh & Mojtaba Shourian & Bahram Saghafian, 2016. "Evaluation of the Bankruptcy Approach for Water Resources Allocation Conflict Resolution at Basin Scale, Iran’s Lake Urmia Experience," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(10), pages 3519-3533, August.
    30. Hojjat Mianabadi & Erik Mostert & Saket Pande & Nick van de Giesen, 2015. "Weighted Bankruptcy Rules and Transboundary Water Resources Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(7), pages 2303-2321, May.
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