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 -