cooperative games; interaction among players; values and interaction indices
Résumé :
[en] In the framework of cooperative game theory, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among players. Axiomatizations of two classes of interaction indices, namely probabilistic interaction indices and cardinal-probabilistic interaction indices, generalizing probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural generalizations of axioms involved in the axiomatizations of values. In the second half of the paper, existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized.
Disciplines :
Mathématiques Méthodes quantitatives en économie & gestion
Identifiants :
UNILU:UL-ARTICLE-2010-392
Auteur, co-auteur :
Fujimoto, Katsushige; Fukushima University, Fukushima, Japan > Faculty of Economics
Kojadinovic, Ivan; École Polytechnique de l’Université de Nantes, Nantes, France > LINA CNRS FRE 2729
MARICHAL, Jean-Luc ; University of Luxembourg > Faculty of Law, Economics and Finance (FDEF) > Applied Mathematics Unit (SMA)
Langue du document :
Anglais
Titre :
Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices
Date de publication/diffusion :
avril 2006
Titre du périodique :
Games and Economic Behavior
ISSN :
0899-8256
Maison d'édition :
Elsevier
Volume/Tome :
55
Fascicule/Saison :
1
Pagination :
72-99
Peer reviewed :
Peer reviewed
Intitulé du projet de recherche :
Recherches méthodologiques et mathématiques en aide à la décision et à la classification > 01/01/2005 – 12/12/2007 > BISDORFF Raymond
