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

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

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Article ID: iaor20174353
Volume: 78
Issue: 9
Start Page Number: 1680
End Page Number: 1692
Publication Date: Sep 2017
Journal: Automation and Remote Control
Authors: ,
Keywords: simulation, control, optimization, decision
Abstract:

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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