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

, 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 …

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

We consider several related set extensions of the core and the anticore of games with transferable utility. An … polytopes with a core-like structure. One of these polytopes is the L1-center, consisting of all efficient allocations that … contained in the undominated set. For three-person games all these sets coincide. These three sets also coincide with the core …

An element of the possibly unbounded core of a cooperative game with precedence constraints belongs to its bounded core … if any transfer to a player from any of her subordinates results in payoffs outside the core. The bounded core is the … union of all bounded faces of the core, it is nonempty if the core is nonempty, and it is a continuous correspondence on …

generated by a partial order on the set of players. In such a situation, the core may be unbounded, and one has to select a … bounded part of the core as a solution concept. The restricted core is obtained by imposing equality constraints in the core … for sets belonging to so-called normal collections, resulting (if nonempty) in the selection of a bounded face of the core …