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On the Core of the Aubin Extension of an Almost Positive Game Научная публикация

Журнал

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Вых. Данные

Год: 2025, Том: 35, Номер: 1, Страницы: 79-86 Страниц : 8 DOI: 10.1134/s1055134425010067

Ключевые слова

almost positive game, Shapley value, fuzzy game, Aubin extension, core, superdifferential of a fuzzy game

Авторы

Vasil’ev V.A. ¹

Организации

1	Sobolev Institute of Mathematics

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2022-0019

We analyze connections between the Shapley value and the core of the well-known Aubin extension of an almost positive cooperative game. Nonnegative Harsanyi dividends characterize such games up to an additive component. Since each almost positive game is convex, its core contain the Shapley value. We prove a stronger connection for the Aubin extension of such a game; namely, the core is a singleton consisting of the corresponding Shapley value. Aubin mentioned that, for certain classes of fuzzy cooperative games, it is possible to describe the core in terms of the superdifferential of the characteristic function. Our arguments are based on this fact.

Vasil’ev V.A.
On the Core of the Aubin Extension of an Almost Positive Game
Siberian Advances in Mathematics. 2025. V.35. N1. P.79-86. DOI: 10.1134/s1055134425010067 Scopus РИНЦ OpenAlex

Васильев В.А.
О ядре расширения Обэна почти положительной игры
Математические труды. 2024. Т.27. №4. С.26–41. DOI: 10.25205/1560-750X-2024-27-4-26-41 РИНЦ

Поступила в редакцию:	18 сент. 2024 г.
Принята к публикации:	30 окт. 2024 г.
Опубликована в печати:	19 мар. 2025 г.
Опубликована online:	4 июл. 2025 г.

Scopus:	2-s2.0-105009624987
РИНЦ:	82581689
OpenAlex:	W4412028603

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