Different kinds of asymmetries between players can occur in core allocations, in that case the stability of the concept … is questioned. One remedy consists in selecting robust core allocations. We review, in this note, results that all select … core allocations in NTU games with different concepts of robustness. Within a unified approach, we deduce the existence of …

We provide a result for non-emptiness of the core in NTU games. We use a payoffs-dependent balancedness condition …, based on transfer rate mappings. Going beyond the non-emptiness of standard core, existence of some refined solution is … proved, including specific core allocations and equilibrium-core allocations in parameterized collection of cooperative games …

. The minimal (for inclusion) dominant set is non-empty and for a game with a non-empty coalition structure core, the … minimal dominant set returns this core. …

cores the core can be reached in a bounded number of proposals and counterproposals. Our result is more general than this …

effect, the core is nonempty when coalition feasible sets are monotonic and players' preferences over public goods have … connected support. All core allocations consist of connected coalitions and they are Tiebout equilibria as well. We also examine …

does not hold for optimistic players. We propose a new core concept to overcome this puzzle and provide numerical …

apply them in the characterization of two solution concepts. One is Wilson's (1978) Coarse Core and the other is a … subsolution of it which we call the Coarse+ Core. …

invoke here is the core. We also show, that a simple generalization of the Deferred Acceptance Procedure with men proposing … due to Gale and Shapley(1962), yeilds outcomes for a generalized marriage problem, which necessarily belong to the core …

members of a coalition. We then define a concept of the Core that takes into account these communication possibilities. The … internal consistency of the improvements is considered and an Internally Consistent Core is introduced, that requires …