The Efficient Proportional Myerson Values for Hypergraph Games | Zendy

Guangming Wang | Zendy; Lei Cai | Zendy; Erfang Shan | Zendy

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The Efficient Proportional Myerson Values for Hypergraph Games

Author(s) -

Guangming Wang,

Lei Cai,

Erfang Shan

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/1468979

Subject(s) - hypergraph , axiom , class (philosophy) , mathematics , value (mathematics) , measure (data warehouse) , function (biology) , discrete mathematics , distribution (mathematics) , mathematical economics , computer science , data mining , statistics , artificial intelligence , mathematical analysis , geometry , evolutionary biology , biology

This study deals with a class of efficient extensions of Myerson value for games with hypergraph communication situations in which the surplus is allocated proportionally. We introduce w -fairness of surplus and provide axiomatic characterizations of the new allocation rule. Furthermore, we give an example of research fund distribution amongst researchers, compare the numerical results with several values, and realize other efficient extensions of Myerson value can be obtained depending on the different measure function w on the hypergraph.

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