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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Two-level cooperative game on hypergraph
David A. Kosian, Leon A. Petrosyan St. Petersburg State University,
7/9 Universitetskaya nab., Saint Petersburg 199034, Russia
Аннотация:
In the paper, the cooperative game with a hypergraph communication structure is considered. For this class of games, a new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. The communication possibilities are described by the hypergraph in which the nodes are players and hyperlinks are the communicating subgroups of players. The game between hyperlinks and between players in each hyperlink is described. The payoff of each player is influenced by the actions of other players dependent on the distance between them on hypergraph. Constructed characteristic functions based on cooperative behaviour satisfy the convexity property. The results are shown by the example.
Ключевые слова:
cooperation, characteristic function, hypergraph, communication structure.
Образец цитирования:
David A. Kosian, Leon A. Petrosyan, “Two-level cooperative game on hypergraph”, Contributions to Game Theory and Management, 14 (2021), 227–235
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm399 https://www.mathnet.ru/rus/cgtm/v14/p227
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Страница аннотации: | 78 | PDF полного текста: | 33 | Список литературы: | 12 |
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