game theory; multicriteria decision making; Shapley and Banzhaf values; interaction indices
Résumé :
[en] This paper introduces a new interaction index among players of a cooperative game or criteria in a decision making problem: the chaining interaction whose definition is based on the maximal chains of the lattice related to the set of coalitions. This interaction index as well as the Shapley and Banzhaf interaction indices belong to the class of cardinal-probabilistic interaction indices. Conversion formulas between some representations are pointed out. Moreover, links with multilinear extensions and potentials are also investigated.
Disciplines :
Méthodes quantitatives en économie & gestion Mathématiques
Identifiants :
UNILU:UL-CHAPTER-2010-156
Auteur, co-auteur :
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 :
The chaining interaction index among players in cooperative games
