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 …

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 …

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

, 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 …

core element. Capital dependent deposit games are also shown to have a core element and even a population monotonic …

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

a finite set of players, for which it has to be determined how much payoff each player must receive. The core of an NTU … guarantee that the Shapley value, being the average of all marginal vectors of the game, is an element of the core. Convexity of … elements of the core. As solution concept for NTU-games we propose a set of solutions that is determined by the average of all …