An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games.

An axiomatization of the interactions between the palyers of any coalition is given. It is based on three axioms: linearity, dummy and symmetry. These interaction indices extend the Banzhaf and Shapley values when using in addition two equivalent recursive axioms. Lastly, the authors give an expression of the Banzhaf and Shapely interaction indices in terms of pseudo-Boolean functions.

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Year of publication:	1998
Authors:	Grabisch, M. ; Roubens, M.
Institutions:	Centre de Méthodes Quantitatives et Operations Management (QuantOM), HEC École de Gestion
Subject:	GAME THEORY

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Series:	Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie.
Type of publication:	Book / Working Paper
Notes:	23 pages
Classification:	C70 - Game Theory and Bargaining Theory. General ; C71 - Cooperative Games
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005669510