Core and Superdifferential of a Fuzzy TU-Cooperative Game Full article
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Automation and Remote Control
ISSN: 0005-1179 , E-ISSN: 1608-3032 |
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| Output data | Year: 2021, Volume: 82, Number: 5, Pages: 926-934 Pages count : 9 DOI: 10.1134/S0005117921050155 | ||||
| Tags | fuzzy cooperative game; S*-representation; superdifferential; the core of a fuzzy game; weak homogeneity | ||||
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Abstract:
Abstract: In the paper, we consider conditions providing the coincidence of the cores andsuperdifferentials of fuzzy cooperative games with side payments. It turned out that weakhomogeneity is one of the simplest sufficient conditions. Moreover, by applying the so-called S*-representation of a fuzzy game introduced by theauthor, we show that for any v with nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying the subdifferential calculus, wedescribe a structure of the core for classical fuzzy extensions of the ordinary cooperative game(e.g., the Aubin and Owen extensions) as well as for some new continuations, like the generalizedAirport game. © 2021, Pleiades Publishing, Ltd.
Cite:
Vasil’ev V.A.
Core and Superdifferential of a Fuzzy TU-Cooperative Game
Automation and Remote Control. 2021. V.82. N5. P.926-934. DOI: 10.1134/S0005117921050155 WOS Scopus OpenAlex
Core and Superdifferential of a Fuzzy TU-Cooperative Game
Automation and Remote Control. 2021. V.82. N5. P.926-934. DOI: 10.1134/S0005117921050155 WOS Scopus OpenAlex
Original:
Васильев В.А.
Ядро и супердифференциал нечеткой TU-кооперативной игры
Математическая теория игр и ее приложения. 2020. Т.12. №2. С.20-35. РИНЦ
Ядро и супердифференциал нечеткой TU-кооперативной игры
Математическая теория игр и ее приложения. 2020. Т.12. №2. С.20-35. РИНЦ
Identifiers:
| Web of science: | WOS:000656916600015 |
| Scopus: | 2-s2.0-85107369331 |
| OpenAlex: | W3113723409 |