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On minimum sum representations for weighted voting games

DOI zum Zitieren dieses Dokuments: https://doi.org/10.1007/s10479-012-1108-3
URN to cite this document: urn:nbn:de:bvb:703-epub-3696-6

Title data

Kurz, Sascha:
On minimum sum representations for weighted voting games.
Bayreuth , 2018 . - 7 S.
DOI: https://doi.org/10.1007/s10479-012-1108-3

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Abstract

A proposal in a weighted voting game is accepted if the sum of the (non-negative) weights of the "yea" voters is at least as large as a given quota. Several authors have considered representations of weighted voting games with minimum sum, where the weights and the quota are restricted to be integers. Freixas and Molinero have classified all weighted voting games without a unique minimum sum representation for up to 8 voters. Here we exhaustively classify all weighted voting games consisting of 9 voters which do not admit a unique minimum sum integer weight representation.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): Corrected version of the journal version.
Keywords: weighted games; voting; integer representation
Subject classification: Mathematics Subject Classification Code: 91B12
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Profile Fields
Profile Fields > Emerging Fields
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3696-6
Date Deposited: 04 May 2018 06:34
Last Modified: 18 Mar 2019 08:50
URI: https://epub.uni-bayreuth.de/id/eprint/3696

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