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Contributions to Game Theory and Management, 2019, Volume 12, Pages 204–219 (Mi cgtm344)  
A new allocation rule for cooperative games with hypergraph communication structure

David A. Kosian, Leon A. Petrosyan

St. Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg, 199034, Russia
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Abstract: A new allocation rule was proposed by splitting the original game into a game between hyperlinks and games within them. A special case of cooperative game on flower type hypergraphs is investigated. The proposed allocation rule has been generalized for games with a communication structure represented by acyclic reduced hypergraphs and was illustrated by examples.
Keywords: cooperation, characteristic function, hypergraph, communication structure, allocation rule.
Funding agency Grant number
Russian Science Foundation 17-11-01079
This research was supported by Russian Science Foundation under grants No. 17-11-01079.
Document Type: Article
Language: English
Citation: David A. Kosian, Leon A. Petrosyan, “A new allocation rule for cooperative games with hypergraph communication structure”, Contributions to Game Theory and Management, 12 (2019), 204–219
Citation in format AMSBIB
\Bibitem{KosPet19}
\by David~A.~Kosian, Leon~A.~Petrosyan
\paper A new allocation rule for cooperative games with hypergraph communication structure
\jour Contributions to Game Theory and Management
\yr 2019
\vol 12
\pages 204--219
\mathnet{http://mi.mathnet.ru/cgtm344}
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