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Application of a Coordination Model for a Large Number of Stakeholders with a New Game Theory Model

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Abstract

Water allocation is an important issue for systems with multiple stakeholders. Individual and collective decisions are very important for such systems. Thus, a new integrated game model is proposed to create a good balance between cooperative and non-cooperative strategies. A dam-aquifer system was selected for the case study in Iraq. The system referred to should supply different stakeholders with water requirements. Three game models are used: 1) cooperative theory, non-cooperative theory, new integrated game structure. Effective factors in the way of cooperation was considered to demonstrate variations in the allocation of water to the stakeholders. The results of the cooperative or centralized model were considered as the best results. The results indicated that the new game model had good agreement with the centralized model. The outputs indicated that the allocation share of the downstream coalition could increase 4, 5 and 7% for high, medium and low inflow, respectively when the allocation share of the upstream coalition decreased 5%, 6% and 5% for high, medium and low inflow, respectively. The inflow excess volume at 90%, 50%, and 10% are considered as low inflow, medium inflow, and high inflow, respectively. It has been observed that the allocated volume of water to coalition downstream is increased by decreasing the more allocated volume of water to the coalition upstream. In addition, the new model supported the individual profits by applying the rationality decision while the cooperative game did not consider the individual benefits. In addition, the effect of inflows to reservoirs was considered to investigate the issue of water allocation in a critical condition.

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Acknowledgements

The authors are grateful to University of Malaya, Malaysia, for supporting the study.

Funding

This study was funded by University of Malaya (University of Malaya Research Grant GPF082A-2018.

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Authors and Affiliations

  1. Department of Water Engineering and Hydraulic Structures, Faculty of Civil Engineering, Semnan University, Semnan, 3513119111, Iran

    Mohammad Ehteram

  2. Department of Civil Engineering, Shahrood University of Technology, Sharood, Iran

    Samira Ghotbi

  3. School of Technology, Ilia State University, Tbilisi, Georgia

    Ozgur Kisi

  4. Civil Engineering Department, Faculty of Engineering, University of Malaya, Kuala Lumpur, Malaysia

    Ahmed EL-Shafie

Authors
  1. Mohammad Ehteram
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  2. Samira Ghotbi
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  3. Ozgur Kisi
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  4. Ahmed EL-Shafie
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Correspondence to Mohammad Ehteram.

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Ehteram, M., Ghotbi, S., Kisi, O. et al. Application of a Coordination Model for a Large Number of Stakeholders with a New Game Theory Model. Water Resour Manage 33, 5207–5230 (2019). https://doi.org/10.1007/s11269-019-02431-4

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