On an approach to constructing a characteristic function in cooperative differential games

Результат исследований: Научные публикации в периодических изданияхстатья

12 Цитирования (Scopus)


We propose a novel approach to constructing characteristic functions in cooperative differential games. A characteristic function of a coalition S is computed in two stages: first, optimal control strategies maximizing the total payoff of the players are found, and next, these strategies are used by the players from the coalition S, while the other players, those from N S, use strategies minimizing the total payoff of the players from S. The characteristic function obtained in this way is superadditive. In addition, it possesses a number of other useful properties. As an example, we compute values of a characteristic function for a specific differential game of pollution control.

Язык оригиналаАнглийский
Страницы (с-по)1680-1692
Число страниц13
ЖурналAutomation and Remote Control
Номер выпуска9
СостояниеОпубликовано - сен 2017