not be in the core. Even when they satisfy all the stability properties, including membership in the core, they may be …

cooperative games. We also include a brief discussion of the core of tree games. …

core of the hedonic game. Exactly such coalition structures constitute the strict core when the simple game is symmetric … grand coalition is the unique strictly core stable coalition structure. …

notion of an interval core has been coined and proposed as a solution concept for interval-valued games. In this paper we … will present a general mathematical programming algorithm which can be applied to find an element in the interval core. As … demonstrate how interval core elements can be computed. Also, we reveal that pitfalls exist if interval core elements are computed …

coalition production economy corresponding to the game. First, it is shown that the full core of a TU game is not empty if and … only if the completion of the game is balanced. The full core is defined free of any particular coalition structure and the … coalitions of the game emerge endogenously from the full core. Second, it is shown that the full core of a completion …

We are concerned with the problem of core membership testing for hedonic coalition formation games, which is to decide … whether a certain coalition structure belongs to the core of a given game. We show that this problem is co-NP complete when …

the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of …

models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We …. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies …