On the Core and Shapley Value for Regular Polynomial Games | Sciact - Система учета научной деятельности ИМ СО РАН

On the Core and Shapley Value for Regular Polynomial Games Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2022, Том: 63, Номер: 1, Страницы: 65-78 Страниц : 14 DOI: 10.1134/S0037446622010050

Ключевые слова

$ (v,c) $-integral; 519.83; generalized Owen extension; polynomial cooperative game; Shapley value; support function of the core

Авторы

Vasil’ev V.A. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Информация о финансировании (2)

1	Институт математики им. С.Л. Соболева СО РАН	0314-2019-0018
2	Российский фонд фундаментальных исследований	19-10-00910

Considering some classes of polynomial cooperative games, we describethe integral representation of the Shapley values and the support functionsof their cores. Also, we analyze the relationship between the Shapley valuesand the polar forms of homogeneous polynomial games. The found formula for the supportfunction of the core of a convex game is applied for the dual descriptionof the Harsanyi sets of finite cooperative games. The main peculiarity of the proposedapproach to the study of optimal solutions of game theory is a systematic useof the extensions of polynomial set functions to the corresponding measures on symmetricpowers of the initial measure spaces. © 2022, Pleiades Publishing, Ltd.

Vasil’ev V.A.
On the Core and Shapley Value for Regular Polynomial Games
Siberian Mathematical Journal. 2022. V.63. N1. P.65-78. DOI: 10.1134/S0037446622010050 WOS Scopus РИНЦ OpenAlex

Васильев В.А.
О ядре и значении Шепли для регулярных полиномиальных игр
Сибирский математический журнал. 2022. Т.63. №1. С.77–94. DOI: 10.33048/smzh.2022.63.105 РИНЦ

Web of science:	WOS:000749276800005
Scopus:	2-s2.0-85123621358
РИНЦ:	48145724
OpenAlex:	W4210528149

БД	Цитирований
Scopus	1
Web of science	1
OpenAlex	2
РИНЦ	2