The positive core of a cooperative game
The positive core of a cooperative game
复制标题
合作博弈的积极核心
DOI：
10.1007/s00182-009-0208-z
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发表时间：
2010
影响因子：
0.6
通讯作者：
Peter Sudhölter
中科院分区：
文献类型：
--
作者：
G. Orshan;Peter Sudhölter
正核心是可转移效用博弈核心的非空扩展。如果核心是非空的，那么它与核心重合。它与核心共享许多属性。六个著名的公理，在一些公理化的核心，prenucleolus，或积极的prekernel，和一个新的直观公理，表征积极的核心，为任何无限的宇宙的球员。这个新的公理要求一个博弈的解，无论何时它是非空的，都包含一个在博弈的任何对称下不变的元素。
The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms that are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core for any infinite universe of players. This new axiom requires that the solution of a game, whenever it is nonempty, contains an element that is invariant under any symmetry of the game.