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Fair allocation of riparian water rights

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  • Ricardo Martinez
  • Juan D. Moreno-Ternero

Abstract

We take an axiomatic approach to the allocation of riparian water rights. We formalize ethical or structural properties as axioms of allocation rules. We show that several combinations of these axioms characterize focal rules implementing the principle of Territorial Integration of all Basin States in various forms. One of them connects to the Shapley value, the long-standing centerpiece of cooperative game theory. The others offer natural compromises between the polar principles of Absolute Territorial Sovereignty and Unlimited Territorial Integrity. We complete our study with an empirical application to the allocation of riparian water rights in the Nile River.

Suggested Citation

  • Ricardo Martinez & Juan D. Moreno-Ternero, 2024. "Fair allocation of riparian water rights," Papers 2407.14623, arXiv.org.
    • Handle: RePEc:arx:papers:2407.14623
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    References listed on IDEAS

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    1. Biung†Ghi Ju & Juan D. Moreno†Ternero, 2017. "Fair Allocation Of Disputed Properties," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(4), pages 1279-1301, November.
    2. Wang, Yuntong, 2011. "Trading water along a river," Mathematical Social Sciences, Elsevier, vol. 61(2), pages 124-130, March.
    3. Billy A. Ferguson & Paul Milgrom, 2024. "Market Design for Surface Water," NBER Chapters, in: New Directions in Market Design, pages 65-87, National Bureau of Economic Research, Inc.
    4. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-1037, September.
    5. Richard Schmalensee & Robert N. Stavins, 2025. "Lessons Learned from Three Decades of Experience with Cap and Trade," World Scientific Book Chapters, in: Economics of Environment, Climate Change, and Wine Selected Papers of Robert N Stavins Volume 3 (2011–2023), chapter 9, pages 235-264, World Scientific Publishing Co. Pte. Ltd..
    6. Thomson, William, 1983. "Equity in exchange economies," Journal of Economic Theory, Elsevier, vol. 29(2), pages 217-244, April.
    7. Ansink, Erik & Houba, Harold, 2012. "Market power in water markets," Journal of Environmental Economics and Management, Elsevier, vol. 64(2), pages 237-252.
    8. van den Brink, René & van der Laan, Gerard & Moes, Nigel, 2012. "Fair agreements for sharing international rivers with multiple springs and externalities," Journal of Environmental Economics and Management, Elsevier, vol. 63(3), pages 388-403.
    9. van den Brink, René & He, Simin & Huang, Jia-Ping, 2018. "Polluted river problems and games with a permission structure," Games and Economic Behavior, Elsevier, vol. 108(C), pages 182-205.
    10. Ambec, Stefan & Dinar, Ariel & McKinney, Daene, 2013. "Water sharing agreements sustainable to reduced flows," Journal of Environmental Economics and Management, Elsevier, vol. 66(3), pages 639-655.
    11. Yang, Yuzhi & Ansink, Erik & Gudmundsson, Jens, 2025. "How to pollute a river if you must," Journal of Environmental Economics and Management, Elsevier, vol. 130(C).
    12. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
    13. René Brink & Arantza Estévez-Fernández & Gerard Laan & Nigel Moes, 2014. "Independence of downstream and upstream benefits in river water allocation problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 173-194, June.
    14. Hougaard, Jens Leth & Moreno-Ternero, Juan D. & Tvede, Mich & Østerdal, Lars Peter, 2017. "Sharing the proceeds from a hierarchical venture," Games and Economic Behavior, Elsevier, vol. 102(C), pages 98-110.
    15. Kilgour, D. Marc & Dinar, Ariel, 1995. "Are stable agreements for sharing international river waters now possible?," Policy Research Working Paper Series 1474, The World Bank.
    16. Sheila M. Olmstead, 2010. "The Economics of Managing Scarce Water Resources," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 4(2), pages 179-198, Summer.
    17. Weber, Marian L., 2001. "Markets for Water Rights under Environmental Constraints," Journal of Environmental Economics and Management, Elsevier, vol. 42(1), pages 53-64, July.
    18. Sylvain Beal & Amandine Ghintran & Eric Remila & Philippe Solal, 2013. "The River Sharing Problem: A Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-19.
    19. Ansink, Erik & Weikard, Hans-Peter, 2009. "Contested water rights," European Journal of Political Economy, Elsevier, vol. 25(2), pages 247-260, June.
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