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 introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition … graph and the NT-solution coincides with the average tree solution. We also study core stability of the solutions and show … that both the HS-solution and NT-solution belong to the core under half-space supermodularity, which is a weaker condition …

introduced, under which the value is guaranteed to be an element of the core. For games with complete graph communication the …

, it is shown that a decreasing unit price function is a sufficient condition for a non-empty core: the Direct Price … solution is both a core element and a marginal vector. It is seen that the nucleolus of an MCP-game can be derived in …

to the interval core of that game and Lorenz dominates each other interval core element. Consistency properties of the …