uses the fact that the core of an associated compensation matching game with constraints is nonempty. …In this paper we consider one-to-many matching problems where the preferences of the agents involved are represented by … matching to a matching of maximum total reward, one can always provide a compensation schedule that will be ex-post stable in …

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 …

shown that the core of a TU-game coincides with the core of the corresponding minimal rights game. Moreover, the paper … introduces the notion of the k-core cover as an extension of the core cover. The k-core cover of a TU-game consists of all … minimal rights game. It is shown that the core of a TU-game with player set N coincides with the ⌊|N |/2⌋-core cover …