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 …

. Do pure indivisibilities prevent core equivalence? Core equivalence theorem in an atomless economy with purely … agents, the core coincides with the set of Walras allocations. We show that this equivalence holds only in an atomless … economy by giving two examples of the sequence of replica economies such that in any replica economy, there exists a core …

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of … a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the … core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …