Abstract.
An axiomatization of the interaction between the players 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, we give an expression of the Banzhaf and Shapley interaction indices in terms of pseudo-Boolean functions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received: October 1997/revised version: October 1998
Rights and permissions
About this article
Cite this article
Grabisch, M., Roubens, M. An axiomatic approach to the concept of interaction among players in cooperative games. Game Theory 28, 547–565 (1999). https://doi.org/10.1007/s001820050125
Issue Date:
DOI: https://doi.org/10.1007/s001820050125