Geodesic
Modeling of Environmental Projects under Condition of a Random Time Horizon
Contributions to game theory and management, Tome 4 (2011), pp. 447-459.

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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. 
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Ekaterina Shevkoplyas; Sergey Kostyunin. Modeling of Environmental Projects under Condition of a Random Time Horizon. Contributions to game theory and management, Tome 4 (2011), pp. 447-459. http://geodesic.mathdoc.fr/item/CGTM_2011_4_a33/

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