Strategic Decision Making for Multi-Purpose River Basin Projects: A Game Theory Approach to Resource Allocation in the Anambra-Imo River Basin
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International Journal of Recent Engineering Science (IJRES) |  |
| © 2025 by IJRES Journal | ||
| Volume-12 Issue-3 |
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| Year of Publication : 2025 | ||
| Authors : Ikenna Chukwudi Nwabugwu, Luke Chika Eme |
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| DOI : 10.14445/23497157/IJRES-V12I3P104 |
How to Cite?
Ikenna Chukwudi Nwabugwu, Luke Chika Eme, "Strategic Decision Making for Multi-Purpose River Basin Projects: A Game Theory Approach to Resource Allocation in the Anambra-Imo River Basin," International Journal of Recent Engineering Science, vol. 12, no. 3, pp. 26-34, 2025. Crossref, https://doi.org/10.14445/23497157/IJRES-V12I3P104
Abstract
The Anambra-Imo River Basin Multi-purpose water resources project requires strategic and optimized resource management in order to maximize benefits across key sectors, including Irrigation agriculture, hydroelectric power generation, and water supply. This study employs a Game Theory model to develop a resilient framework for strategic resource allocation in the face of uncertainty. A mixed-strategy approach was employed, integrating probability-based decision making with the linear programming simplex method to identify optimal strategies. The result shows a game value 5.81, which lies between the Maximin (4.36) and Minimax (6.77) values, confirming the effectiveness of strategic resource allocation. Based on this framework,
a total capital allocation of ₦16.834 billion (Spanning 2016–2021) has the possibility of generating a potential benefit of ₦97.80554 billion, yielding a surplus of ₦80.97154 billion for reinvestment in developmental and maintenance projects within the basin. Even under borrowing conditions with a 6% interest rate over five years, the project maintains a profit margin of ₦75.2778 billion. These findings show that applying the Game Theory model to river basin management yields substantial financial benefits while advancing sustainable development and enhancing resilience to climate variability. The study highlights the importance of Game Theory models in the optimization of resource allocation, financial returns, and integrated planning to address sustainable development goals in multi-purpose water resource projects./span>
Keywords
Game Theory, Multi-purpose river basin project, Optimization, Resource allocation, Strategic Decision Making.
Reference
[1] J. Von Neumann, and O. Morgenstern, Theory of Games and Economic Behavior, Princeton, NJ, USA: Princeton University Press, 1947.
[Google Scholar] [Publisher Link]
[2] John F. Nash, “Non-Cooperative Games,” Annals of Mathematics, vol. 54, no. 2, pp. 286-295, 1951.
[CrossRef] [Publisher Link]
[3] Kaveh Madani, “Game Theory and Water Resources,” Journal of Hydrology, vol. 381, no. 3-4, pp. 225-238, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Ariel Dinar, Aharon Ratner, and Dan Yaron, “Evaluating Cooperative Game Theory in Water Resources,” Theory and Decision, vol. 32, pp. 1-20, 1992.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Elinor Ostrom, Governing the Commons: The Evolution of Institutions for Collective Action, Cambridge, UK: Cambridge University Press, 1990.
[Google Scholar] [Publisher Link]
[6] Eme Luke Chika, and Ohaji Evans, “Game Theory Modeling in River Valley Projects – Benin Owena River Basin,” Civil and Environmental Research, vol. 11, no. 2, pp. 75-87, 2019.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Godspower Onyekachukwu Ekwueme, and Charles O. Aronu, “Optimization of a Multipurpose River Basin in Anambra State, Nigeria,” International Journal of Basic and Applied Science, vol. 11, no. 4, pp. 180-187, 2023.
[Google Scholar] [Publisher Link]
[8] Ariel Dinar, “Exploring Transboundary Water Conflict and Cooperation,” Water Resources Research, vol. 40, no. 5, pp. 1-3, 2004.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Yang Yu et al., “Multi-objective Game Theory Optimization for Balancing Economic, Social, and Ecological Benefits in the Three Gorges Reservoir Operation, Environmental Research Letters, vol. 16, no. 8, pp. 1-18, 2021.
[CrossRef] [Google Scholar] [Publisher Link]
[10] Shahmir Janjua et al., “A Three-stage Cooperative Game Model for Water Resource Allocation under Scarcity Using Bankruptcy Rules, Nash Bargaining Solution and TOPSIS,” Water Resources Management, vol. 39, pp. 3553-3576, 2025.
[CrossRef] [Google Scholar] [Publisher Link]
[11] Arman Ganji, Davar Khalili, and Mohammad Karamouz, “Development of Stochastic Dynamic Nash Game Model for Reservoir Operation. I. The Symmetric Stochastic Model with Perfect Information,” Advances in Water Resources, vol. 30, no. 3, pp. 528-542, 2007.
[CrossRef] [Google Scholar] [Publisher Link]
[12] Mehran Homayoun-far et al., “Two Solution Methods for Dynamic Game in Reservoir Operation,” Advances in Water Resources, vol. 33, no. 7, pp. 752-761, 2010.
[CrossRef] [Google Scholar] [Publisher Link]
[13] Peter Rogers, Ramesh Bhatia, and Annette Huber, “Water as a Social and Economic Good: How to Put the Principle into Practice,” Global Water Partnership, 1998.
[Google Scholar] [Publisher Link]
[14] Kaveh Madani, and Ariel Dinar, “Non-Cooperative Institutions for Sustainable Common Pool Resource Management: Application to Groundwater,” Ecological Economics, vol. 74, pp. 34-45, 2012.
[CrossRef] [Google Scholar] [Publisher Link]
[15] Peter P. Rogers, and Myron B Fiering, “Use of Systems Analysis in Water Management,” Water Resources Research, vol. 22, no. 9S, 146S-158S.
[CrossRef] [Google Scholar] [Publisher Link]