Semivalues: power,potential and multilinear extensions

Francesc Carreras and José Miguel Giménez

MPRA Paper from University Library of Munich, Germany

Abstract: The notions of power and potential, both defined for any semivalue, give rise to two endomorphisms of the vector space of all cooperative games on a given player set. Several properties of these linear mappings are stated and their action on unanimity games is emphasized. We also relate in both cases the multilinear extension of the image game to the multilinear extension of the original game.

Keywords: Cooperative game; Semivalue; Power; Potential; Multilinear extension (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2010-12-20
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