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

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 …

core coincides with the set of cost-minimized Walras allocations. Because of the indivisibility, the preference …

. We prove that the strong core coincides with the set of cost-minimized Walras allocations which satisfy both the …

players' preferences over coalitions in a hedonic game. We formalize the notion of semistrict core stability, which is … stronger than the standard core concept but weaker than the strict core notion and derive two characterization results for the … semistrict core, dependent on conditions we impose on the solution concept. It turns out that a bounded power condition, which …

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 …

. 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 …

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 …

all possible matches. Finally, we analyze a notion of the core and its relation with the set of stable assignments. …