Communication publiée dans un ouvrage (Colloques, congrès, conférences scientifiques et actes)
Equivalent representations of a set function with applications to game theory and multicriteria decision making
Grabisch, Michel; MARICHAL, Jean-Luc; Roubens, Marc
1999 • In de Swart, Harrie (Ed.) Proc. of the Int. Conf. on Logic, Game theory and Social choice (LGS'99), Oisterwijk, the Netherlands, May 13-16, 1999
set functions; pseudo-Boolean functions; Möbius inversion formula; Shapley and Banzhaf values; interaction indices; game theory; multicriteria decision making
Résumé :
[en] This paper introduces four alternative representations of a set function: the M¨obius transformation, the co-M¨obius 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.
Disciplines :
Mathématiques Méthodes quantitatives en économie & gestion
Auteur, co-auteur :
Grabisch, Michel; Thomson-CSF, Orsay Cedex, France > Corporate Research Laboratory
MARICHAL, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
Roubens, Marc; University of Liège, Belgium > Institute of Mathematics
Langue du document :
Anglais
Titre :
Equivalent representations of a set function with applications to game theory and multicriteria decision making
Date de publication/diffusion :
mai 1999
Nom de la manifestation :
Int. Conf. on Logic, Game theory and Social choice (LGS'99)
Lieu de la manifestation :
Oisterwijk, Pays-Bas
Date de la manifestation :
from 13-05-1999 to 16-05-1999
Manifestation à portée :
International
Titre de l'ouvrage principal :
Proc. of the Int. Conf. on Logic, Game theory and Social choice (LGS'99), Oisterwijk, the Netherlands, May 13-16, 1999
