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The average representation - a cornucopia of power indices?

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arxiv 1405.0825 v1 pith:CSHINGMM submitted 2014-05-05 cs.GT

Serguei Kaniovski , Sascha Kurz This is my paper · ORCID
classification cs.GT
keywords indicespowerclassicalrelativerepresentationsweightsaveragecornucopia
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For the classical power indices there is a disproportion between power and relative weights, in general. We introduce two new indices, based on weighted representations, which are proportional to suitable relative weights and which also share several important properties of the classical power indices. Imposing further restrictions on the set of representations may lead to a whole family of such indices.

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