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A community faces the obligation of providing an indivisible public good. Each member is capable of providing it at a certain cost and the solution is to rely on the player who can do it at the lowest cost. It is then natural that he or she be compensated by the other players. The question is to...
Persistent link: https://www.econbiz.de/10008508371
value, the nucleolus or accountings formulas can be applied and compared. Our analysis is inspired by the need for a …
Persistent link: https://www.econbiz.de/10008468197
The 6th MEETING ON GAME THEORY AND PRACTICE Zaragoza, Spain 10-12 July 2006
Persistent link: https://www.econbiz.de/10008476120
solution concepts (such as the nucleolus) violate this property are scarce and have no economic interpretation. We provide an …
Persistent link: https://www.econbiz.de/10004976645
not be balanced. Some conditions for balancedness are provided and, in that case, properties of the core are analyzed … the cores of two assignment games coincides with the core of the sum game. …
Persistent link: https://www.econbiz.de/10005176408
) do not necessarily ensure stability in the sense of the core of a cooperative game: some nations and groups of nations … compute allocations of permits satisfying core constraints at each commitment period, while being as close as possible to any …
Persistent link: https://www.econbiz.de/10005042885
(Definition 4.4) and completeness (Definition 4.8). For this class we prove that the core, resp., the nucleolus when the core is … complete Eulerian graphs having the 4-cut property, we are able to test core membership in O(n) time, and when the core is not … empty, we show how to calculate the nucleolus in O(n^2) time, n being the number of players. …
Persistent link: https://www.econbiz.de/10005596278
nonredundant core constraints, ease of computation of the core and the nucleolus, and cases of decomposition of the core and the … negative costs on edges and vertices. Among the properties studied are the nonemptiness of the core, characterization of … nucleolus. …
Persistent link: https://www.econbiz.de/10005598443
There exist coalitional games with transferable utility which have the same core but different nucleoli. We show that … this cannot happen in the case of assignment games. Whenever two assignment games have the same core, their nucleoli also … coincide. To show this, we prove that the nucleolus of an assignment game coincides with that of its buyer–seller exact …
Persistent link: https://www.econbiz.de/10005598515
horse market games, are analyzed. The nucleolus is proved to coincide with the value, and is thus the midpoint of the core …
Persistent link: https://www.econbiz.de/10005600429