A new value for communication situations

Daniel Li Li () and Erfang Shan ()
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Daniel Li Li: Shanghai Business School
Erfang Shan: Shanghai University

Mathematical Methods of Operations Research, 2024, vol. 100, issue 2, No 5, 535-551

Abstract: Abstract A communication situation (N, v, H) consists of a cooperative game (N, v) and a communication hypergraph (N, H), for which the Myerson value and the position value are well-known allocation rules. The value defined in this paper treats links in H as imaginal players, for which we define a bipartite graph between N and H according to the structure given by H, and propose an allocation rule called the bipartite value. This value assigns payoff to each player with two parts: as a player and as a member in links. A characterization of the bipartite value is given.

Keywords: Cooperative game; Myerson value; Position value; Bipartite value; 05C57; 91A43; 05C57; 91A43 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00186-024-00873-0

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