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Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework

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  • Mahdi Zarghami
  • Nasim Safari
  • Ferenc Szidarovszky
  • Shafiqul Islam

Abstract

This paper shows the utility of a new interval cooperative game theory as an effective water diplomacy tool to resolve competing and conflicting needs of water users from different sectors including agriculture, domestic, industry and environment. Interval parameter programming is applied in combination with cooperative game theoretic concepts such as Shapley values and the Nucleolus to provide mutually beneficial solutions for water allocation problems under uncertainty. The allocation problem consists of two steps: water resources are initially allocated to water users based on the Nash bargaining model and the achieved nonlinear interval parameter model is solved by transforming it into a problem with a deterministic weighted objective function. Water amounts and net benefits are reallocated to achieve efficient water usage through net benefit transfers. The net benefit reallocation is done by the application of different cooperative game theoretical methods. Then, the optimization problem is solved by linear interval programming and by converting it into a problem with two deterministic objective functions. The suggested model is then applied to the Zarrinehrud sub-basin, within Urmia Lake basin in Northwestern Iran. Findings suggest that a reframing of the problem using cooperative strategies within the context of water diplomacy framework - creating flexibility in water allocation using mutual gains approach - provides better outcomes for all competing users of water. Copyright Springer Science+Business Media Dordrecht 2015

Suggested Citation

  • Mahdi Zarghami & Nasim Safari & Ferenc Szidarovszky & Shafiqul Islam, 2015. "Nonlinear Interval Parameter Programming Combined with Cooperative Games: a Tool for Addressing Uncertainty in Water Allocation Using Water Diplomacy Framework," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(12), pages 4285-4303, September.
    • Handle: RePEc:spr:waterr:v:29:y:2015:i:12:p:4285-4303
    DOI: 10.1007/s11269-015-1060-5
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    2. Elleuch, Mohamed Ali & Anane, Makram & Euchi, Jalel & Frikha, Ahmed, 2019. "Hybrid fuzzy multi-criteria decision making to solve the irrigation water allocation problem in the Tunisian case," Agricultural Systems, Elsevier, vol. 176(C).
    3. Feifei Dong & Yong Liu & Han Su & Zhongyao Liang & Rui Zou & Huaicheng Guo, 2016. "Uncertainty-Based Multi-Objective Decision Making with Hierarchical Reliability Analysis Under Water Resources and Environmental Constraints," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 805-822, January.
    4. Mehdi Zomorodian & Sai Hin Lai & Mehran Homayounfar & Shaliza Ibrahim & Gareth Pender, 2017. "Development and application of coupled system dynamics and game theory: A dynamic water conflict resolution method," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-24, December.
    5. Feifei Dong & Yong Liu & Han Su & Zhongyao Liang & Rui Zou & Huaicheng Guo, 2016. "Uncertainty-Based Multi-Objective Decision Making with Hierarchical Reliability Analysis Under Water Resources and Environmental Constraints," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(2), pages 805-822, January.
    6. Dan Yan & Saskia E. Werners & He Qing Huang & Fulco Ludwig, 2016. "Identifying and Assessing Robust Water Allocation Plans for Deltas Under Climate Change," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5421-5435, November.
    7. Maryam Soleimani-Alyar & Alireza Ghaffari-Hadigheh & Fatemeh Sadeghi, 2016. "Controlling Floods by Optimization Methods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4053-4062, September.
    8. Simic, Vladimir, 2016. "End-of-life vehicles allocation management under multiple uncertainties: An interval-parameter two-stage stochastic full-infinite programming approach," Resources, Conservation & Recycling, Elsevier, vol. 114(C), pages 1-17.

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