| Article ID: | iaor19961717 |
| Country: | Germany |
| Volume: | 41 |
| Issue: | 3 |
| Start Page Number: | 289 |
| End Page Number: | 311 |
| Publication Date: | May 1995 |
| Journal: | Mathematical Methods of Operations Research (Heidelberg) |
| Authors: | Tijs S., Nouweland A. van den, Potters J., Zarzuelo J. |
| Keywords: | Weber problem |
A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. Cooperative games form a subclass of the class of multi-choice games. This paper extends some solution concepts for cooperative games to multi-choice games. In particular, the notions of core, dominance core and Weber set are extended. Relations between cores and dominance cores and between cores and Weber sets are extensively studied. A class of flow games is introduced and relations with non-negative games with non-empty cores are investigated.