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core. In this paper we generalize this result by distinguishing equivalence classes of balanced games that share the same … core structure. We then associate a system of linear inequalities with each equivalence class, and we show that the system … of TU games on which the core correspondence is additive (even linear). For the case of convex games we prove that the …
Persistent link: https://www.econbiz.de/10010281187
nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well … coalitions). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this …
Persistent link: https://www.econbiz.de/10010325794
Minimum-cost spanning tree problems are well-known problems in the operations research literature. Some agents, located at different geographical places, want a service provided by a common supplier. Agents will be served through costly connections. Some part of the literature has focused,...
Persistent link: https://www.econbiz.de/10014496126
nonnegative), and there is some hierarchical ordering of the players. In this paper we introduce the 'Restricted Core' for such … of the players. For totally positive games this solution is always contained in the 'Core', and contains the well … coalitions). For special orderings it equals the Core, respectively Shapley value. We provide an axiomatization and apply this …
Persistent link: https://www.econbiz.de/10011378242
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/10011378792
Harsanyi set is related to the Core and Weberset. We also characterize the Harsanyi mapping as the unique mappingsatisfying a …
Persistent link: https://www.econbiz.de/10011313932
axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …
Persistent link: https://www.econbiz.de/10010381388
Persistent link: https://www.econbiz.de/10009720713
concentrate on one solution concept: the core. First we examine the basic model and then we consider several variations that are …
Persistent link: https://www.econbiz.de/10013008230
costs such that each agent demands consecutive sections. We show that the core, the prenucleolus, and the Shapley value on … associated games do not occur. The main axioms for the core and the nucleolus are consistency properties based on the reduced …
Persistent link: https://www.econbiz.de/10013019777