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Contributions to Game Theory and Management, 2011, Volume 4, Pages 447–459
(Mi cgtm207)
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This article is cited in 2 scientific papers (total in 2 papers)
Modeling of Environmental Projects under Condition of a Random Time Horizon
Ekaterina Shevkoplyas, Sergey Kostyunin St. Petersburg State University,
Faculty of Applied Mathematics and Control Processes,
198904, Russia, St. Petersburg, Petrodvorets, University pr., 35
Abstract:
One game-theoretical model of environmental project is considered under condition of a random game duration. The game ends at the random moment in time with Weibull distribution. According to Weibull distribution form parameter, the game can be in one of 3 scenarios such as “an infant”, “an adult” and “an aged” scenario. The solutions obtained with a help of Pontryagin maximum principle both for non-cooperative and cooperative forms of the game are analyzed for each stage.
Keywords:
differential games, environment, pollution control, random duration.
Citation:
Ekaterina Shevkoplyas, Sergey Kostyunin, “Modeling of Environmental Projects under Condition of a Random Time Horizon”, Contributions to Game Theory and Management, 4 (2011), 447–459
Linking options:
https://www.mathnet.ru/eng/cgtm207 https://www.mathnet.ru/eng/cgtm/v4/p447
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