An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games

An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games Full article

Journal

Automation and Remote Control
ISSN: 0005-1179 , E-ISSN: 1608-3032

Output data

Year: 2021, Volume: 82, Number: 2, Pages: 364-374 Pages count : 11 DOI: 10.1134/S0005117921020148

Tags

core of fuzzy cooperative game; fuzzy airport game; fuzzy cooperative game; fuzzy LP-game; fuzzy TU market game; V-balancedness

Authors

Vasil’ev V.A. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, 644043, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract: This paper continues the research work [2], which generalizes the well-known Bondareva–Shapleytheorem to the case of fuzzy cooperative n-player games. Theconditions of V-balancedness are studied for three classes of fuzzygames as follows: 1) fuzzy transferable utility (TU) market games [3]; 2) fuzzy games associated with the linear-productionmodels [6]; 3) fuzzy games generated by therational distribution models of public costs during the construction of transport infrastructurefacilities (the so-called airport games [5]). Inaddition to the conditions guaranteeing the non-emptiness of the cores, some types ofnon-dominated imputations of these games are also described. For the fuzzy airport games, such adescription is exhaustive. © 2021, Pleiades Publishing, Ltd.

Vasil’ev V.A.
An Analog of the Bondareva–Shapley Theorem. II. Examples of V-Balanced Fuzzy Games
Automation and Remote Control. 2021. V.82. N2. P.364-374. DOI: 10.1134/S0005117921020148 WOS Scopus OpenAlex

Васильев В.А.
Аналог теоремы Бондаревой–Шепли II. Примеры V-сбалансированных нечетких игр
Математическая теория игр и ее приложения. 2019. Т.11. №2. С.3-18. РИНЦ

Web of science:	WOS:000626054200014
Scopus:	2-s2.0-85102399141
OpenAlex:	W3134895197

DB	Citing
Scopus	1
Web of science	1
OpenAlex	1