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 coalitions are explicitly taken into account. We formulate conditions under which it leads to a core element and …

We generalize the characterizations of the positive core and the positive prekernel to TU games with precedence … constraints and show that the positive core is characterized by non-emptiness (NE), boundedness (BOUND), covariance under … generalized Davis-Maschler reduced games, and the possibility of nondiscrimination. The bounded positive core, i.e., the union of …

It is well-known that the core on several domains of cooperative transferable utility (TU) and nontransferable utility … is shown that, if communication structures are present, the core may still be characterized on balanced TU games, on … totally balanced TU games, on NTU games with a nonempty core, on the domains of all TU or NTU games, and on several other …

costs such that each agent demands consecutive sections. We show that the core, the prenucleolus, and the Shapley value on … associated games do not occur. The main axioms for the core and the nucleolus are consistency properties based on the reduced …

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

It is known that for supermodular TU-games, the vertices of the core are the marginal vectors, and this result remains …, obtained by minimizing or maximizing in a given order the coordinates of a core element. We give a simple formula which does …, and show that there exist balanced games whose core has vertices which are not min-max vertices if and only if n > 4 …

In this paper, we characterize the class of games for which the core coincides with the core cover (compromise stable … based on bankruptcy problems. Also, the class of convex compromise stable games is characterized. The relation between core …