IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v36y2022i9d10.1007_s11269-022-03098-0.html
   My bibliography  Save this article

Water Allocation Management Under Scarcity: a Bankruptcy Approach

Author

Listed:
  • Yang Zheng

    (China Institute of Water Resources and Hydropower Research)

  • Xuefeng Sang

    (China Institute of Water Resources and Hydropower Research)

  • Zhiwu Liu

    (China Three Gorges Corporation)

  • Siqi Zhang

    (China Institute of Water Resources and Hydropower Research)

  • Pan Liu

    (China Three Gorges Corporation)

Abstract

This study hopes to develop a multi-criteria decision-making (MCDM) method for equitable and efficient allocation of water resources under scarcity. Based on the Bankruptcy problems, five classic plus one proposed allocation rules are introduced to generate water distribution alternatives. The “Core” solution of Cooperative Game Theory (CGT) and the Security Restriction have been used to select feasible alternatives. Additionally, five voting methods in Social Choice Theory (SCT) are launched to aggregate preferences and obtain a “win” alternative. Apply this model to the 2030 water allocation planning project of Ezhou City, China, as a case study. Under the proposed rule, Adjust minimal overlap rule (AMO), five regions, Urban Area, Gedian DZ, and three counties, hold the water deficit rate of 5.9%, 15.8%, and 4.7%-6.1%, respectively. In aggregating preferences by voting, AMO wins four out of five methods and takes second place in the last one, which provides some insights for allocating water fairly and feasibly.

Suggested Citation

  • Yang Zheng & Xuefeng Sang & Zhiwu Liu & Siqi Zhang & Pan Liu, 2022. "Water Allocation Management Under Scarcity: a Bankruptcy Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(9), pages 2891-2912, July.
  • Handle: RePEc:spr:waterr:v:36:y:2022:i:9:d:10.1007_s11269-022-03098-0
    DOI: 10.1007/s11269-022-03098-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11269-022-03098-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s11269-022-03098-0?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. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    2. 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.
    3. Giménez-Gómez, José-Manuel & Peris, Josep E., 2014. "A proportional approach to claims problems with a guaranteed minimum," European Journal of Operational Research, Elsevier, vol. 232(1), pages 109-116.
    4. 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.
    5. Allan M. Feldman & Roberto Serrano, 2006. "Welfare Economics and Social Choice Theory, 2nd Edition," Springer Books, Springer, edition 2, number 978-0-387-29368-4, December.
    6. Giovanni Sechi & Riccardo Zucca, 2015. "Water Resource Allocation in Critical Scarcity Conditions: A Bankruptcy Game Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(2), pages 541-555, January.
    7. Goetz, Renan U. & Martinez, Yolanda & Rodrigo, Jofre, 2008. "Water allocation by social choice rules: The case of sequential rules," Ecological Economics, Elsevier, vol. 65(2), pages 304-314, April.
    8. van den Brink, René & Funaki, Yukihiko & van der Laan, Gerard, 2013. "Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties," European Journal of Operational Research, Elsevier, vol. 228(2), pages 413-417.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. B. Dietzenbacher & A. Estévez-Fernández & P. Borm & R. Hendrickx, 2021. "Proportionality, equality, and duality in bankruptcy problems with nontransferable utility," Annals of Operations Research, Springer, vol. 301(1), pages 65-80, June.
    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. Zhipeng Fan & Xiang Fu & Xiaodan Zhao, 2024. "A Bargaining with Negotiation Cost for Water Use and Pollution Conflict Management," Sustainability, MDPI, vol. 17(1), pages 1-22, December.
    2. Danyang Di & Qi Shi & Zening Wu & Huiliang Wang, 2023. "Sustainable Management and Environmental Protection for Basin Water Allocation: Differential Game-based Multiobjective Programming," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 37(1), pages 1-20, January.

    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, 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.
    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. René Brink & Juan D. Moreno-Ternero, 2017. "The reverse TAL-family of rules for bankruptcy problems," Annals of Operations Research, Springer, vol. 254(1), pages 449-465, July.
    4. Jacob Rightnar & Ariel Dinar, 2020. "The Welfare Implications of Bankruptcy Allocation of the Colorado River Water: The Case of the Salton Sea Region," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 34(8), pages 2353-2370, June.
    5. 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.
    6. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2010. "Baseline Rationing," Discussion Papers 10-16, University of Copenhagen. Department of Economics.
    7. José-Manuel Giménez-Gómez & António Osório & Josep E. Peris, 2015. "From Bargaining Solutions to Claims Rules: A Proportional Approach," Games, MDPI, vol. 6(1), pages 1-7, March.
    8. William Thomson, 2014. "Compromising between the proportional and constrained equal awards rules," RCER Working Papers 584, University of Rochester - Center for Economic Research (RCER).
    9. José-Manuel Giménez-Gómez & Jordi Teixidó-Figueras & Cori Vilella, 2016. "The global carbon budget: a conflicting claims problem," Climatic Change, Springer, vol. 136(3), pages 693-703, June.
    10. 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.
    11. Alcalde, José & Peris, Josep E., 2022. "Mixing solutions for claims problems," Mathematical Social Sciences, Elsevier, vol. 115(C), pages 78-87.
    12. 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.
    13. Juan D. Moreno-Ternero, 2017. "A Talmudic approach to bankruptcy problems," LIDAM Reprints CORE 2914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Moreno-Ternero, Juan D. & Vidal-Puga, Juan, 2021. "Aggregator operators for dynamic rationing," European Journal of Operational Research, Elsevier, vol. 288(2), pages 682-691.
    15. Bas Dietzenbacher & Peter Borm & Arantza Estévez-Fernández, 2020. "NTU-bankruptcy problems: consistency and the relative adjustment principle," Review of Economic Design, Springer;Society for Economic Design, vol. 24(1), pages 101-122, June.
    16. Sebastian Cano-Berlanga & María-José Solís-Baltodano & Cori Vilella, 2023. "The Art of Sharing Resources: How to Distribute Water during a Drought Period," Games, MDPI, vol. 14(5), pages 1-16, August.
    17. María José Solíx-Baltodano & Cori Vilella & José Manuel Giménez-Gómez, 2019. "The Catalan Health Budget: A Conflicting Claims Approach," Hacienda Pública Española / Review of Public Economics, IEF, vol. 228(1), pages 35-54, March.
    18. Guillaume Sekli, 2022. "A cooperative game approach to integrated healthcare," Working Papers 2022-06, CRESE.
    19. Duro, Juan Antonio & Giménez-Gómez, José-Manuel & Vilella, Cori, 2020. "The allocation of CO2 emissions as a claims problem," Energy Economics, Elsevier, vol. 86(C).
    20. Valencia-Toledo, Alfredo & Vidal-Puga, Juan, 2017. "Duality in land rental problems," MPRA Paper 80509, University Library of Munich, Germany.

    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:36:y:2022:i:9:d:10.1007_s11269-022-03098-0. 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.