| Article ID: | iaor20123032 |
| Volume: | 10 |
| Issue: | 1 |
| Start Page Number: | 33 |
| End Page Number: | 41 |
| Publication Date: | Mar 2012 |
| Journal: | 4OR |
| Authors: | Matsuhisa Takashi |
| Keywords: | sets |
This article characterises stable sets in preordered sets. We show that every stable subset of a preordered set is characterised as a fixed point of the mapping assigning the set of all its maximal elements to each upper bounded subset of the preordered set. This result gives a characterisation of stable sets in strategic games with transitive preferences.