| Article ID: | iaor201110532 |
| Volume: | 40 |
| Issue: | 4 |
| Start Page Number: | 677 |
| End Page Number: | 689 |
| Publication Date: | Nov 2011 |
| Journal: | International Journal of Game Theory |
| Authors: | Hwang Yan-An, Liao Yu-Hsien |
This note extends the solution concept of the core for cooperative games to multi‐choice games. We propose an extension of the theorem of Bondareva (1963) and Shapley (1967) to multi‐choice games. Also, we introduce a notion of reduced games for multi‐choice games and provide an axiomatization of the core on multi‐choice games by means of corresponding notion of consistency and its converse.