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allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …
Persistent link: https://www.econbiz.de/10010326323
service that generates the revenues. We focus on the study of the core of cost-revenue games. Under the assumption that … shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only if, the dual game of the cost … game has a large core. Using this result, we investigate minimum cost spanning tree games with revenues. We show that if …
Persistent link: https://www.econbiz.de/10011257152
coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …
Persistent link: https://www.econbiz.de/10011383187
-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …
Persistent link: https://www.econbiz.de/10011377055
In this paper, we study different notions of stability for three-sided assignment games. Since the core may be empty in …-Morgenstern stable sets. The dominant diagonal property is necessary for the core to be a stable set, and also sufficient in the case … of the extended cores of all μ-compatible subgames, for a given optimal matching μ, is the core with respect to those …
Persistent link: https://www.econbiz.de/10012011087
We introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition … structure. The theory is based on the notion of nested sets and the complex of nested sets associated to an arbitrary set system … graph and the NT-solution coincides with the average tree solution. We also study core stability of the solutions and show …
Persistent link: https://www.econbiz.de/10014175740
is the same. We further give weak forms of convexity that are necessary and sufficient conditions for the core stability …
Persistent link: https://www.econbiz.de/10014177966
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 …
Persistent link: https://www.econbiz.de/10014181798
coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …
Persistent link: https://www.econbiz.de/10014044020
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (single-valued) solution for TU-games assigns a payoff distribution to every TU-game. A well-known solution is the...
Persistent link: https://www.econbiz.de/10014047425