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Harsanyi support levels solutions
Theory and Decision ( IF 0.9 ) Pub Date : 2021-08-07 , DOI: 10.1007/s11238-021-09827-y
Manfred Besner 1
Affiliation  

We introduce a new class of values for TU-games (games with transferable utility) with a level structure, called LS-games. A level structure is a hierarchical structure where each level corresponds to a partition of the player set, which becomes increasingly coarse from the trivial partition containing only singletons to the partition containing only the grand coalition. The new values, called Harsanyi support levels solutions, extend the Harsanyi solutions for LS-games. As an important subset of the class of these values, we present the class of weighted Shapley support levels values as a further result. The values from this class extend the weighted Shapley values for LS-games and contain the Shapley levels value as a special case. Axiomatizations of the studied classes are provided.



中文翻译:

Harsanyi 支持级别解决方案

我们为具有级别结构的 TU 游戏(具有可转移效用的游戏)引入了一类新的值,称为 LS 游戏。级别结构是一种层次结构,其中每个级别对应于玩家集的一个分区,从只包含单例的平凡分区到只包含大联盟的分区变得越来越粗糙。新值称为 Harsanyi 支持级别解决方案,扩展了 LS 游戏的 Harsanyi 解决方案。作为这些值类别的一个重要子集,我们将加权沙普利支持水平值类别作为进一步的结果。此类中的值扩展了 LS 游戏的加权 Shapley 值,并包含 Shapley 级别值作为特殊情况。提供了所研究类的公理化。

更新日期:2021-08-09
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