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 …

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 …

of all players, equal gain splitting rules are defined.It is shown that these rules lead to core elements of the …

corresponding resource allocation games. It is shown that these games have a non-empty core and thus allow for stable allocations …

that these games have a nonempty core and a complete description of the core is provided. …

jobs. Using nonstandard techniques we prove that each family sequencing game has a non-empty core by showing that a … particular marginal vector belongs to the core. Finally, we specifically analyze the case in which the initial order is family …

theoretic perspective. A corresponding preparation sequencing game is defined and the focus is on the core and nucleolus of such …

associated to proportionate flow shop problems.It is seen that PFS games have a nonempty core.Moreover, it is shown that PFS … Shapley value and a specific type of equal gain splitting rule which leads to core elements of the PFS game are proposed. …