In a common value auction in which the information partitions of the bidders are connected, all rings are core … spite of the underlying strategic externalities. A ring is core-stable if the core of this characteristic function is not … mechanism. An example shows that, if the bidders’ information partitions are not connected, rings may no longer be core-stable. …

relationship between the core of a given TU game and the set of Walrasian payoff vectors for the induced coalition production …

private core without free disposal is established. As a particular case of this result, a solution to a problem mentioned in …

We characterize a monotonic core concept defined on the class of veto balanced games. We also discuss what restricted … versions of monotonicity are possible when selecting core allocations. We introduce a family of monotonic core concepts for …

The lack of stability in some matching problems suggests that alternative solution concepts to the core might be … strict preferences. This solution, which always exists, either gives the matchings in the core or predicts some other … matchings when the core is empty. Furthermore, it satisfies an interesting property of outer stability. We also characterize the …

coalitions represented by a graph on the set of players ot the coalition. A, possibly empty, set of payoff vectors is assigned to … vector of ones. We then define the balanced-core as a refinement of the core. A payoff vector lies in the balanced-core if it … lies in the core and the payoff vector is an element of payoff sets of all graphs in some balanced collection of graphs. We …

, generically, core points exist; that is, to determine when the core exists in other than highly contrived settings. As known, the … subtle, critical error in their proofs. The sharp dimensional values along with results about the structure of the core are …

We consider partition function games and introduce new defini-tions of the core that include the effects of … generalised concept of the core. The result is a recursive definition of the core where residual subgames are considered as games …

over the other students who would attend the same college. It is well known that the core of this model may be empty …, without strong assumptions on agents' preferences. We introduce a method that finds all core matchings, if any exist. The … core is empty. …