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Title data
Kurz, Sascha:
On minimum sum representations for weighted voting games.
Bayreuth
,
2018
. - 7 S.
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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: | 14 May 2021 07:04 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/3696 |
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