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Solutions of Cooperative Differential Games with Partner Sets. / Petrosyan, L. A.; Панкратова, Ярославна Борисовна.
в: Doklady Mathematics, Том 108, № 1, 2023, стр. S92-S99.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Solutions of Cooperative Differential Games with Partner Sets
AU - Petrosyan, L. A.
AU - Панкратова, Ярославна Борисовна
PY - 2023
Y1 - 2023
N2 - Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game. A special-type characteristic function that takes into account players in partner sets is introduced, and its superadditivity is proved. As a solution, we propose a C-core, for which nonemptiness is proved, as well as a Shapley value and a $$\tau $$-value.
AB - Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game. A special-type characteristic function that takes into account players in partner sets is introduced, and its superadditivity is proved. As a solution, we propose a C-core, for which nonemptiness is proved, as well as a Shapley value and a $$\tau $$-value.
U2 - 10.1134/S1064562423600719
DO - 10.1134/S1064562423600719
M3 - статья
VL - 108
SP - S92-S99
JO - Doklady Mathematics
JF - Doklady Mathematics
SN - 1064-5624
IS - 1
ER -
ID: 117449542