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APPLICATION OF GAME THEORY IN FLOOD CONTROL USING FLOODPLAIN
Abstract
The paper deals with the possibility of applying game theory in the decision of the dispatcher regarding the opening of the gates to the floodplain (construction of flood control measures). When the forecast of the flood course is bur ended with a random error from the normalized normal distribution N (0.1). The forecast itself is in the range of flows are capable of causing significant damage. The experiment tested different options for adjusting the probability of betrayal (error) of the forecast model. The probability of betrayal was assessed from 5% to 95%. Furthermore, different ratios between the damage caused when the gates were opened and the actual damage caused within the city flooding when the gates were not opened were tested. The experimental results clearly show that in the long run it is more beneficial to open the gates to the floodplain in the case of pure Nash equilibrium. In the case of mixed equilibria, opening (not opening) depends on the ratio of damages and the probability of betrayal (error) of the prediction model. The probability of controller betrayal (opposite action to the forecast action) alone is less significant compared to the above conditions.
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References12
Deb, K., Multi-Objective Optimization Using Evolutionary Algorithms. John Wiley and Sons, Chichester, UK. ISBN: 047187339X, 2001.
Nash, J., “Two-Person Cooperative Games.” Econometrica, vol. 21, no. 1, pp. 128–40. JSTOR, 1953. DOI: 10.2307/1906951.
Myerson, R. B., Game Theory: Analysis of Conflict. Harvard University Press, JSTOR, 1991. DOI: 10.2307/j.ctvjsf522.
Bogardi I, Szidarovszky F., Application of game theory in water management. Applied Mathematical Modelling. 1:16–20. 1976. DOI: 10.1016/0307-904X(76)90018-4.
Thiessen E.M., Loucks D.P., Stedinger J.R., Computer-assisted negotiations of water resources conflicts Group Decision and Negotiation (7), pp. 109-129, 1998.
Madani K., Game theory and water resources, Journal of Hydrology, Volume 381, Issues 3–4, Pages 225-238, ISSN 0022-1694, 2010. DOI: 10.1016/j.jhydrol.2009.11.045.
Hemati H.,Abrishamchi A., Water allocation using game theory under climate change impact (case study: Zarinehrood). Journal of Water and Climate Change 12 (3): 759–771. 2021. DOI: 10.2166/wcc.2020.153
Arnbjerg-Nielsen K. Fleischer H. S., Feasible adaptation strategies for increased risk of flooding in cities due to climate change. Water Science and Technology 60 (2), 273 – 281, 2009. DOI: 10.2166/wst.2009.298.
Kicsiny R, Piscopo V, Scarelli A, Varga Z. Game-theoretical model for the sustainable use of thermal water resources: the case of Ischia volcanic Island (Italy). Environ Geochem Health. 2022 Jul;44(7):2021-2035. DOI: 10.1007/s10653-021-00871-9.
Douven, W., Mul, M. L., Alvarez, B. F., Son, L. H., Bakker, N., Radosevich, G., and van der Zaag, P.: Enhancing capacities of riparian professionals to address and resolve transboundary issues in international river basins: experiences from the Lower Mekong River Basin, Hydrol. Earth Syst. Sci., 16, 3183–3197, 2012, DOI: 10.5194/hess-16-3183-2012,
Kozel, T., Stary, M., Adaptive Stochastic Management of the Storage Function for a Large, Open Reservoir Using Learned Fuzzy Models. Journal of Hydrology and Hydromechanics 70, no. 2 213–21, 2022. DOI: 10.2478/johh-2022-0010.
https://hepex.org.au/ [1.9. 2023]
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