different voting systems within the same parliamentary body. This paper analyzes the core and the Shapley value of three …-valued simple games. Using the concept of vital players, the vital core is constructed and we show that the vital core is a subset … of the core. The Shapley value is characterized on the class of all three-valued simple games. The model is applied to …

coalitions we show that every Step out - Step in sequencing game<br/>has a non-empty core. This upper bound is a sufficient … condition for a sequencing<br/>game to have a non-empty core. Moreover, this paper provides a polynomial time<br/>algorithm to …

The core cover of a TU-game is a superset of the core and equals the convex hull of its larginal vectors. A larginal … called compromise stable if the core is equal to the core cover, i.e. the core is the convex hull of the larginal vectors. In … larginal vector of the set is a core element, then the game is compromise stable. The first characterization of these sets is …

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. …