-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 …

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. …

problem, termed the multi-core, wherein an agent consents to participate in the grand coalition if she can envision a … cooperating with the grand coalition rather than operating alone. An allocation is in the multi-core if all agents consent to … participate in the grand coalition. We provide a theorem characterizing the non-emptiness of the multi-core and show that the …

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 …

When goods are substitutes, the Vickrey outcome is in the core and yields competitive seller revenue. In contrast, with … complements, the Vickrey outcome is efficient but not necessarily in the core and revenue can be low. Non-core outcomes may be … perceived as unfair since there are bidders willing to pay more than the winners' payments. Moreover, non-core outcomes render …

induce hedonic games that admit core-stability. …

a new hybrid solution concept, the free-riding-proof core (FRP-Core), which endogenously determines a contribution group …, public goods provision level, and how to share the provision costs. The FRP-Core is always nonempty in public goods economies … but does not usually achieve global efficiency. The FRP-Core has support from both cooperative and noncooperative games …