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JOURNALS // Contributions to Game Theory and Management // Archive

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

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.

Language: English



© Steklov Math. Inst. of RAS, 2024