Technical note: Characterization of binomial semivalues through delegation games | Zendy

Amer Rafael | Zendy; Giménez José Miguel | Zendy

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Technical note: Characterization of binomial semivalues through delegation games

Author(s) -

Amer Rafael,

Giménez José Miguel

Publication year - 2007

Publication title -

naval research logistics (nrl)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 68

eISSN - 1520-6750

pISSN - 0894-069X

DOI - 10.1002/nav.20238

Subject(s) - weighting , binomial (polynomial) , mathematical economics , characterization (materials science) , axiom , class (philosophy) , mathematics , binomial distribution , value (mathematics) , delegation , binomial coefficient , computer science , discrete mathematics , statistics , economics , artificial intelligence , medicine , materials science , geometry , management , radiology , nanotechnology

Semivalues are allocation rules for cooperative games that assign to each player in a given game a weighted sum of his marginal contributions to all coalitions he belongs to, where the weighting coefficients depend only on the coalition size. Binomial semivalues are a special class of semivalues whose weighting coefficients are obtained by means of a unique parameter. In particular, the Banzhaf value is a binomial semivalue. In this article, we provide an axiomatic characterization for each binomial semivalue. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007

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