| Article ID: | iaor20134303 |
| Volume: | 21 |
| Issue: | 2 |
| Start Page Number: | 313 |
| End Page Number: | 322 |
| Publication Date: | Jul 2013 |
| Journal: | TOP |
| Authors: | Rafels Carles, Llerena Francesc |
| Keywords: | decomposition |
We study under which conditions the core of a game involved in a max‐convex decomposition of another game turns out to be a stable set of the decomposed game. Some applications and numerical examples, including the remarkable Lucas’ five player game with a unique stable set different from the core, are reckoning and analyzed.