Equivalent Representations of a Set Function with Applications to Game Theory and Multicriteria Decision Making

This paper introduces four alternative representations of a set function: the Mobius transformation, the co-Mobius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.

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Year of publication:	1998
Authors:	Grabisch, M. ; Marichal, J.-L. ; Roubens, M.
Institutions:	Centre de Méthodes Quantitatives et Operations Management (QuantOM), HEC École de Gestion
Subject:	GAME THEORY \| DECISION MAKING

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Series:	Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie.
Type of publication:	Book / Working Paper
Notes:	20 pages
Classification:	C60 - Mathematical Methods and Programming. General ; C70 - Game Theory and Bargaining Theory. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005634453