Semivalues: power,potential and multilinear extensions

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.

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Year of publication:	2010-12-20
Authors:	Carreras, Francesc ; Giménez, José Miguel
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Cooperative game \| Semivalue \| Power \| Potential \| Multilinear extension

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	C71 - Cooperative Games
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008777373