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On an extension of the concept of TU-games and their values

机译:关于TU-Games概念及其价值观的延伸

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摘要

We propose a new more general approach to TU-games and their efficient values, significantly different from the classical one. It leads to extended TU-games described by a triplet , where (N, v) is a classical TU-game on a finite grand coalition N, and is a game worth to be shared between the players in N. Some counterparts of the Shapley value, the equal division value, the egalitarian Shapley value and the least square prenucleolus are defined and axiomatized on the set of all extended TU-games. As simple corollaries of the obtained results, we additionally get some new axiomatizations of the Shapley value and the egalitarian Shapley value. Also the problem of independence of axioms is widely discussed.
机译:我们提出了一种新的Tu-Games和他们的有效价值的新方法,与古典人显着不同。 它导致延长三联体描述的Tu-Games,其中(n,v)是一个有限的大联盟n上的经典tu-game,是一个值得在福尔斯的球员之间共享的游戏。 价值,等分值,平均福尼价值和最小二乘肾核核苷,并在所有扩展TU-Games的集合上定义和公理化。 作为获得的结果的简单冠状动因,我们还获得了福利价值的一些新的公正症和平均福利价值。 还讨论了公理独立性问题。

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