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An axiomatization of the kernel for TU games through reduced game monotonicity and reduced dominance

机译:通过减少游戏的单调性和减少的支配性,对TU游戏的内核进行公理化

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摘要

In the framework of transferable utility games, we modify the 2-person Davis–Maschler reduced game to ensure non-emptiness (NE) of the imputation set of the adapted 2-person reduced game. Based on the modification, we propose two new axioms: reduced game monotonicity (RGM) and reduced dominance (RD). Using RGM, RD, NE, Covariance under strategic equivalence, Equal treatment property and Pareto optimality, we are able to characterize the kernel.
机译:在可转让实用游戏的框架中,我们修改了2人戴维斯-马斯勒简化游戏,以确保改编后的2人简化游戏的推算集的非空性(NE)。在修改的基础上,我们提出了两个新的公理:降低游戏单调性(RGM)和降低优势度(RD)。使用RGM,RD,NE,在策略等价下的协方差,相等的处理属性和Pareto最优性,我们能够表征内核。

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