TY - JOUR

T1 - On an approach to constructing a characteristic function in cooperative differential games

AU - Gromova, E. V.

AU - Petrosyan, L.A.

PY - 2017/9

Y1 - 2017/9

N2 - 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.

AB - 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.

U2 - 10.1134/S0005117917090120

DO - 10.1134/S0005117917090120

M3 - статья

VL - 78

SP - 1680

EP - 1692

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 9

ER -