-stable set, a core-like concept, is nonempty and can be approached through an algorithm. The usual core may be empty. The setwise … parallels the standard theory of stability for many-to-one, and one-to-one, models. We provide results for a number of core …

general conditions. They imply that any efficient profile that is approximately achievable must be in the core of the …) an efficient profile can be approximately achieved if and only if it is in the core; and (iii) any achievable profile can …

sets: a set of matchings is a vNM farsightedly stable set if and only if it is a singleton subset of the core. Thus … cannot include matchings that are not in the core. Moreover, we show that our main result is robust to many-to-one matching … set and its element is in the strong core. …