games with non-empty cores this means that the core can be reached via a bounded sequence of blocks. …

the unique welfare distribution that is core-stable and satisfies the condition that no agent gets a utility payoff above … has an increasing benefit function (no externalities) then every weighted hierarchical solution is core-stable. In case of …

nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well … coalitions). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this …

staying with the original outcome with the risk of deviating. Employing this idea to the core leads to a new concept that we … call the risk-based core. We introduce this concept and discuss its properties. We find an inclusion relation between cores … yields many of the familiar inclusion relations as corollaries, while the inclusion of the optimistic core in the optimistic …

structure core, the minimal dominant set returns this core. We provide an algorithm to find the minimal dominant set. …

. 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. …

In cooperative games, the coalition structure core is, despite its potential emptiness, one of the most popular …