We consider a matching model in which individuals belonging to two populations (\textquotedblleft males … which few general results have previously been derived. We show that in this framework a stable matching always exists, it …

Stable matchings may fail to exist in the roommate matching problem, both when utility is transferable and when it is … not. We show that when utility is transferable, the existence of a stable matching is restored when there is an even … individuals of any given type is large enough there always exist “quasi-stable” matchings: a stable matching can be restored with …