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.