Geodesic
A new allocation rule for cooperative games with hypergraph communication structure
Contributions to game theory and management, Tome 12 (2019), pp. 204-219

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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. 
@article{CGTM_2019_12_a11,
     author = {David A. Kosian and Leon A. Petrosyan},
     title = {A new allocation rule for cooperative games with hypergraph communication structure},
     journal = {Contributions to game theory and management},
     pages = {204--219},
     publisher = {mathdoc},
     volume = {12},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2019_12_a11/}
}
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David A. Kosian; Leon A. Petrosyan. A new allocation rule for cooperative games with hypergraph communication structure. Contributions to game theory and management, Tome 12 (2019), pp. 204-219. http://geodesic.mathdoc.fr/item/CGTM_2019_12_a11/