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JOURNALS // Contributions to Game Theory and Management // Archive

Contributions to Game Theory and Management, 2011 Volume 4, Pages 447–459 (Mi cgtm207)

This article is cited 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.

Language: English



© Steklov Math. Inst. of RAS, 2024