| Article ID: | iaor20003662 |
| Country: | Germany |
| Volume: | 28 |
| Issue: | 4 |
| Start Page Number: | 521 |
| End Page Number: | 532 |
| Publication Date: | Jan 1999 |
| Journal: | International Journal of Game Theory |
| Authors: | Slikker M., Zarzuelo J.M., Klijn Flip |
A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. We study the extended Shapley value as proposed by Derks and Peters. Van den Nouweland provided a characterization that is an extension of Young's characterization of the Shapley value. Here we provide several other characterizations, one of which is the analogue of Shapley's original characterization. The three other characterizations are inspired by Myerson's characterization of the Shapley value using balanced contributions.