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Contributions to Game Theory and Management, 2018, том 11, страницы 224–248
(Mi cgtm330)
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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
Existence of stable coalition structures in four-person games
Fengyan Suna, Elena Parilinabac a St. Petersburg State University,
7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
b Institute of Applied Mathematics of Shandong,
Qingdao 266071, PR China
c School of Mathematics and Statistics, Qingdao University,
Qingdao 266071, PR China
Аннотация:
Cooperative games with coalition structures are considered and
the principle of coalition structure stability with respect
to some cooperative solution concepts is determined.
This principle is close to the concept of Nash equilibrium.
The existence of a stable coalition structure with respect
to the Shapley value and the equal surplus division value
for the cases of two- and three-person games is proved.
In this paper, the problem of existence of a stable coalition
structure with respect to the Shapley value and the equal surplus
division value for the case of four-person games with special characteristic function is examined.
Ключевые слова:
coalition structure, stability, the Shapley value,
the ES-value, four-player cooperative games.
Образец цитирования:
Fengyan Sun, Elena Parilina, “Existence of stable coalition structures in four-person games”, Contributions to Game Theory and Management, 11 (2018), 224–248
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm330 https://www.mathnet.ru/rus/cgtm/v11/p224
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Страница аннотации: | 285 | PDF полного текста: | 81 | Список литературы: | 36 |
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