A Fuzzy Stochastic Dynamic Nash Game Analysis of Policies for Managing Water Allocation in a Reservoir System |
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Authors: | A Ganji D Khalili M Karamouz K Ponnambalam M Javan |
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Affiliation: | (1) Water Engineering Department, Shiraz University, Shiraz, Iran;(2) Department of Civil Engineering, Fanni College of Engineering, University of Tehran, Tehran, Iran;(3) Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada |
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Abstract: | In this paper a fuzzy dynamic Nash game model of interactions between water users in a reservoir system is presented. The
model represents a fuzzy stochastic non-cooperative game in which water users are grouped into four players, where each player
in game chooses its individual policies to maximize expected utility. The model is used to present empirical results about
a real case water allocation from a reservoir, considering player (water user) non-cooperative behavior and also same level
of information availability for individual players. According to the results an optimal allocation policy for each water user
can be developed in addition to the optimal policy of the reservoir system. Also the proposed model is compared with two alternative
dynamic models of reservoir optimization, namely Stochastic Dynamic Programming (SDP) and Fuzzy-State Stochastic Dynamic programming
(FSDP). The proposed modeling procedures can be applied as an appropriate tool for reservoir operation, considering the interaction
among the water users as well as the water users and reservoir operator. |
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Keywords: | dynamic game fuzzy set theory stochastic programming reservoir operation |
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