The Average Representation - A Cornucopia of Power Indices?

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2014Embargo end date: 01 May 2014 English Publisher:Elsevier BVJournal:SSRN Electronic Journal (eissn: 1556-5068,

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Authors: Serguei Kaniovski; Sascha Kurz;

doi: 10.2139/ssrn.2432878 , 10.48550/arxiv.1405.0825

arXiv: 1405.0825

The Average Representation - A Cornucopia of Power Indices?

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Abstract

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.

10 pages, 1 table

Related Organizations

University of Bayereuth
Germany
Austrian Institute of Economic Research
Austria
University of Bayreuth, Department of Mathematics
Germany
University of Bayreuth
Germany

Keywords

FOS: Computer and information sciences, Computer Science - Computer Science and Game Theory, 91B12, Computer Science and Game Theory (cs.GT)

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