Journal
AUTOMATION AND REMOTE CONTROL
Volume 78, Issue 9, Pages 1680-1692Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0005117917090120
Keywords
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Funding
- St. Petersburg State University [9.38.245.2014, 9.41.723.2015, 9.42.1043.2016]
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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.
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