| Article ID: | iaor1995685 |
| Country: | United States |
| Volume: | 19 |
| Issue: | 3 |
| Start Page Number: | 603 |
| End Page Number: | 617 |
| Publication Date: | Aug 1994 |
| Journal: | Mathematics of Operations Research |
| Authors: | Quint Thomas |
The paper considers the two-sided matching model of Demange and Gale. Given a suitable partial ordering and a correct definition of ‘matching’, it shows the set of core matchings is (under a nondegeneracy assumption) always a lattice. The results parallel the ‘set of core matchings is a lattice’ theorem for the marriage market of Gale and Shapley.