IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v29y2015i7p2303-2321.html
   My bibliography  Save this article

Weighted Bankruptcy Rules and Transboundary Water Resources Allocation

Author

Listed:
  • Hojjat Mianabadi
  • Erik Mostert
  • Saket Pande
  • Nick van de Giesen

Abstract

One significant problem of transboundary river basins causing various challenges and disputes throughout the world is that because of increasing water resource variability and consumption, the water demand often exceeds water availability. Hence, one of the main challenges in transboundary river basin management is how to allocate the available water among the riparian states equitably and reasonably. In this study, we propose a novel weighted bankruptcy solution method to cope with the problem of demands or “claims” exceeding resources or “assets”. Certain desirable key properties of the proposed method are provided. Furthermore, we investigate its application to the Tigris River, a shared river among Turkey, Syria and Iraq, as a real case. The available water is allocated under two different situations: homogeneous and heterogeneous group. We use the Shapley Value and compare the solution with other allocation methods applied in this study. The results suggest that this new rule may facilitate negotiation in solving conflict over the allocation of water in transboundary river basins. Copyright The Author(s) 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:7:p:2303-2321
    DOI: 10.1007/s11269-015-0942-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11269-015-0942-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11269-015-0942-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(6), pages 1157-1160, December.
    2. Kristof Bosmans & Luc Lauwers, 2011. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 791-807, November.
    3. 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.
    4. Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
    5. McCarthy, Nancy & Sadoulet, Elisabeth & de Janvry, Alain, 2001. "Common Pool Resource Appropriation under Costly Cooperation," Journal of Environmental Economics and Management, Elsevier, vol. 42(3), pages 297-309, November.
    6. 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.
    7. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    8. 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.
    9. Young, H. P., 1988. "Distributive justice in taxation," Journal of Economic Theory, Elsevier, vol. 44(2), pages 321-335, April.
    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. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    12. Nir Dagan, 1996. "New characterizations of old bankruptcy rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 51-59, January.
    13. 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.
    14. 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.
    15. Mehmet Kucukmehmetoglu, 2009. "A Game Theoretic Approach to Assess the Impacts of Major Investments on Transboundary Water Resources: The Case of the Euphrates and Tigris," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(15), pages 3069-3099, December.
    16. Hervé Moulin, 2000. "Priority Rules and Other Asymmetric Rationing Methods," Econometrica, Econometric Society, vol. 68(3), pages 643-684, May.
    17. Toru Hokari & William Thomson, 2003. "Claims problems and weighted generalizations of the Talmud rule," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 241-261, March.
    18. Owen McIntyre, 2013. "Utilization of shared international freshwater resources - the meaning and role of "equity" in international water law," Water International, Taylor & Francis Journals, vol. 38(2), pages 112-129, March.
    19. Kristof Bosmans & Luc Lauwers, 2011. "Lorenz comparisons of nine rules for the adjudication of conflicting claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(4), pages 791-807, November.
    20. ,, 2001. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 17(5), pages 1025-1031, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liang Yuan & Xia Wu & Weijun He & Yang Kong & Thomas Stephen Ramsey & Dagmawi Mulugeta Degefu, 2022. "A multi-weight fuzzy Methodological Framework for Allocating Coalition Payoffs of Joint Water Environment Governance in Transboundary River Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 3367-3384, July.
    2. Mehdi Kazemi & Omid Bozorg-Haddad & Elahe Fallah-Mehdipour & Xuefeng Chu, 2022. "Optimal water resources allocation in transboundary river basins according to hydropolitical consideration," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 24(1), pages 1188-1206, January.
    3. Xinxin Liu & Xiaosheng Wang & Haiying Guo & Xiaojie An, 2021. "Benefit Allocation in Shared Water-Saving Management Contract Projects Based on Modified Expected Shapley Value," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(1), pages 39-62, January.
    4. Bin Xu & Yufei Ma & Ping-an Zhong & Zhongbo Yu & Jianyun Zhang & Feilin Zhu, 2018. "Bargaining Model of Synergistic Revenue Allocation for the Joint Operations of a Multi-Stakeholder Cascade Reservoir System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(14), pages 4625-4642, November.
    5. Jianan Qin & Xiang Fu & Shaoming Peng & Yuni Xu & Jie Huang & Sha Huang, 2019. "Asymmetric Bargaining Model for Water Resource Allocation over Transboundary Rivers," IJERPH, MDPI, vol. 16(10), pages 1-23, May.
    6. Zhuowei Shen & Pan Liu & Bo Ming & Maoyuan Feng & Xiaoqi Zhang & He Li & Aili Xie, 2018. "Deriving Optimal Operating Rules of a Multi-Reservoir System Considering Incremental Multi-Agent Benefit Allocation," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(11), pages 3629-3645, September.
    7. 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.
    8. Dagmawi Mulugeta Degefu & Weijun He & Liang Yuan & An Min & Qi Zhang, 2018. "Bankruptcy to Surplus: Sharing Transboundary River Basin’s Water under Scarcity," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(8), pages 2735-2751, June.
    9. Imad Antoine Ibrahim, 2020. "Legal Implications of the Use of Big Data in the Transboundary Water Context," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(3), pages 1139-1153, February.
    10. 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.
    11. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Thomson, William, 2015. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: An update," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 41-59.
    3. José-Manuel Giménez-Gómez & M. Marco-Gil, 2014. "A new approach for bounding awards in bankruptcy problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 447-469, August.
    4. Andrea Gallice, 2019. "Bankruptcy problems with reference-dependent preferences," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(1), pages 311-336, March.
    5. Moreno-Ternero, Juan D. & Villar, Antonio, 2004. "The Talmud rule and the securement of agents' awards," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 245-257, March.
    6. Martínez, Ricardo & Moreno-Ternero, Juan D., 2022. "Compensation and sacrifice in the probabilistic rationing of indivisible units," European Journal of Operational Research, Elsevier, vol. 302(2), pages 740-751.
    7. 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.
    8. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    9. Giménez-Gómez, José Manuel, 2011. "A way to play bankruptcy problems," Working Papers 2072/169781, Universitat Rovira i Virgili, Department of Economics.
    10. Simon Gächter & Arno Riedl, 2006. "Dividing Justly in Bargaining Problems with Claims," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 571-594, December.
    11. Thomson, William & Yeh, Chun-Hsien, 2008. "Operators for the adjudication of conflicting claims," Journal of Economic Theory, Elsevier, vol. 143(1), pages 177-198, November.
    12. Casas-Méndez, Balbina & Fragnelli, Vito & García-Jurado, Ignacio, 2011. "Weighted bankruptcy rules and the museum pass problem," European Journal of Operational Research, Elsevier, vol. 215(1), pages 161-168, November.
    13. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    14. Jingyi Xue, 2018. "Fair division with uncertain needs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 105-136, June.
    15. Carmen Herrero & Juan Moreno-Ternero & Giovanni Ponti, 2010. "On the adjudication of conflicting claims: an experimental study," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(1), pages 145-179, January.
    16. Balbina Casas-Mendez & Vito Fragnelli & Ignacio Garcìa-Jurado, 2014. "A survey of allocation rules for the museum pass problem," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 38(2), pages 191-205, May.
    17. Louis de Mesnard, 2015. "The three wives problem and Shapley value," Post-Print hal-01091714, HAL.
    18. Hokari, Toru & Thomson, William, 2008. "On properties of division rules lifted by bilateral consistency," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1057-1071, December.
    19. Sinan Ertemel & Rajnish Kumar, 2018. "Proportional rules for state contingent claims," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(1), pages 229-246, March.
    20. Yeh, Chun-Hsien, 2004. "Sustainability, exemption, and the constrained equal awards rule: a note," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 103-110, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:waterr:v:29:y:2015:i:7:p:2303-2321. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.