| Article ID: | iaor20104415 |
| Volume: | 47 |
| Issue: | 2 |
| Start Page Number: | 161 |
| End Page Number: | 171 |
| Publication Date: | Jun 2010 |
| Journal: | Journal of Global Optimization |
| Authors: | Hwang Yan-An, Liao Yu-Hsien |
| Keywords: | transferable utility |
This note extends the solution concept of the core for traditional transferable-utility (TU) games to multi-choice TU games, which we name the unit-level-core. It turns out that the unit-level-core of a multi-choice TU game is a ‘replicated subset’ of the core of a corresponding ‘replicated’ TU game. We propose an extension of the theorem of Bondareva (1967) to multi-choice games. Also, we introduce the reduced games for multi-choice TU games and provide an axiomatization of the unit-level-core on multi-choice TU games by means of consistency and its converse.