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 …In this paper we study competitve outcomes and endogenous coalition formation in a cooperative n-person transferable …

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 …

. (2001) that guarantees nonemptiness of the core in more general models. As it turns out, the top coalition property implies …We consider hedonic coalition formation games that are induced by a simple TU-game and a cooperative solution. For such … models, Shenoy's (1979) absence of the paradox of smaller coalitions provides a sufficient condition for core existence. We …

. 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 …We prove that every transferable utility (TU) game can be generated by a coalition production economy. Given a TU game … cover of the given game. Therefore, a Walrasian equilibrium for the induced coalition production economy always exists. The …