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Contributions to Game Theory and Management, 2015, том 8, страницы 300–314
(Mi cgtm275)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
A fuzzy-core extension of Scarf theorem and related topics
Valery A. Vasil'ev Sobolev Institute of Mathematics,
Russian Academy of Sciences, Siberian Branch,
Prosp. Acad. Koptyuga 4, Novosibirsk, 630090, Russia
Аннотация:
The paper deals with a generalization of Scarf (Scarf, 1967) and Bondareva–Shapley (Bondareva, 1962; Shapley, 1967) theorems on the core of cooperative game to the case of fuzzy domination. The approach proposed is based on the concept of balanced collection of fuzzy coalitions, introduced by the author (Vasil’ev, 2012). This extension of classic notion of balanced collection of standard coalitions makes it possible to present a natural analog of balancedness for so-called fuzzy TU cooperative games. Moreover, it turns out that similar to the standard situation the new balancedness-like assumption is a necessary and sufficient condition for the non-emptyness of the core of fuzzy cooperative game with side payments.
Ключевые слова:
$F$-balanced collection, $F$-balanced fuzzy NTU game, $V$-balanced fuzzy TU game, core, $S^*$-representation.
Образец цитирования:
Valery A. Vasil'ev, “A fuzzy-core extension of Scarf theorem and related topics”, Contributions to Game Theory and Management, 8 (2015), 300–314
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm275 https://www.mathnet.ru/rus/cgtm/v8/p300
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Страница аннотации: | 232 | PDF полного текста: | 87 | Список литературы: | 79 |
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