| Article ID: | iaor19972450 |
| Country: | Germany |
| Volume: | 24 |
| Issue: | 3 |
| Start Page Number: | 273 |
| End Page Number: | 292 |
| Publication Date: | May 1996 |
| Journal: | International Journal of Game Theory |
| Authors: | Hsiao C.-R. |
The paper extends a multi-choice cooperative game to a continuously-many-choice cooperative game. The set of all continuously-many-choice cooperative games is isomorphic to the set of all cooperative fuzzy games. A continuously-many-choice cooperative game and a cooperative fuzzy game have different physical interpretations. The paper defines a value for the continuously-many-choice cooperative game and show that the value for the continuously-many-choice cooperative game has most properties as the traditional Shapley value does. Also, it gives a probabilistic interpretation for the value. The probabilistic interpretation reveals some interesting properties of the value. Finally, the paper discusses the uniqueness of the value.