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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 изданияхстатьяРецензирование

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@article{2aa7f7d431ee495fb2c50089acdc994b,
title = "Solutions of Cooperative Differential Games with Partner Sets",
abstract = "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.",
author = "Petrosyan, {L. A.} and Панкратова, {Ярославна Борисовна}",
year = "2023",
doi = "10.1134/S1064562423600719",
language = "русский",
volume = "108",
pages = "S92--S99",
journal = "Doklady Mathematics",
issn = "1064-5624",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

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