The Owen and Banzhaf–Owen values revisited. (2nd June 2016)

• Record Type: Journal Article
• Authors: Alonso-Meijide, J.M.; Casas-Méndez, B.; González-Rueda, A.M.; Lorenzo-Freire, S.
• Is Part Of: Optimization. Volume 65:Number 6(2016)
• Page Start: 1277
• Page End: 1291
• Publication Date: 2016-06-02
• Subjects: cooperative game -- Shapley value -- Banzhaf value -- coalition structure -- coalitional value -- balanced contributions; 91A12 -- C71; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2015.1091823
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this work, we consider games with coalitional structure. We afford two new parallel axiomatic characterizations for the well-known Owen and Banzhaf–Owen coalitional values. Two properties are common to both characterizations: a property of balanced contributions and a property of neutrality. The results prove that the main difference between these two coalitional values is that the former is efficient, while the latter verifies a property of 2-efficiency.