| Article ID: | iaor201526332 |
| Volume: | 44 |
| Issue: | 2 |
| Start Page Number: | 487 |
| End Page Number: | 498 |
| Publication Date: | May 2015 |
| Journal: | International Journal of Game Theory |
| Authors: | Pechersky Sergei |
| Keywords: | Weber problem, transferable utility (TU) |
The paper studies the structure of external angles of the core of convex TU games. It is shown that the external angle at a vertex of the core is proportional to the number of marginal worth vectors defining the vertex. A notion of difference of two convex compact sets is used to define the Weber set of a TU game and to give another proof of the Weber theorem.