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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