Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

On minimum sum representations for weighted voting games

Title data

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

Official URL: Volltext

Related URLs

Abstract in another language

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, working paper, discussion paper
Additional notes: Corrected version of the journal version.
Keywords: weighted games; voting; integer representation
Subject classification: Mathematics Subject Classification Code: 91B12
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 Mathematics in Economy
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Profile Fields
Profile Fields > Emerging Fields
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Date Deposited: 05 May 2018 21:00
Last Modified: 18 Mar 2019 08:51
URI: https://eref.uni-bayreuth.de/id/eprint/44009