| Article ID: | iaor20003664 |
| Country: | Germany |
| Volume: | 28 |
| Issue: | 4 |
| Start Page Number: | 547 |
| End Page Number: | 565 |
| Publication Date: | Jan 1999 |
| Journal: | International Journal of Game Theory |
| Authors: | Roubens M., Grabisch M. |
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.