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Bounds for the diameter of the weight polytope

URN to cite this document: urn:nbn:de:bvb:703-epub-3822-2

Title data

Kurz, Sascha:
Bounds for the diameter of the weight polytope.
Bayreuth , 2018 . - 15 S.

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Abstract

A weighted game or a threshold function in general admits different weighted representations even if the sum of non-negative weights is fixed to one. Here we study bounds for the diameter of the corresponding weight polytope. It turns out that the diameter can be upper bounded in terms of the maximum weight and the quota or threshold. We apply those results to approximation results between power distributions, given by power indices, and weights.

Further data

Item Type: Preprint, postprint
Keywords: Weighted game; threshold function; weighted representations; weight polytope; diameter; power indices
Subject classification: Mathematics Subject Classification Code: 91A12 52B12 (91B12)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
300 Social sciences > 320 Political science
300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Emerging Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3822-2
Date Deposited: 14 Aug 2018 07:38
Last Modified: 14 Mar 2019 14:52
URI: https://epub.uni-bayreuth.de/id/eprint/3822

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