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 …

, 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 …

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

-building set. Properties of this solution are also studied. To establish core stability we introduce appropriate convexity …

representation we also define a generalized Bird allocation which we show to be in the core of the corresponding appropriate …

family sequencing game has a non-empty core by showing that a particular marginal vector belongs to the core.Finally, we …