S. Kurz: On minimum sum representations for weighted voting games, Annals of Operations Research, Volume 196, Nr 1 (2012), Pages 361-369
7 Pages Posted: 1 Dec 2013
Date Written: February 17, 2012
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. In Freixas and Molinero (2009) the authors 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.
Keywords: weighted voting, integer representation, minimum sum representation
JEL Classification: C71, C63
Suggested Citation: Suggested Citation
Kurz, Sascha, On Minimum Sum Representations for Weighted Voting Games (February 17, 2012). S. Kurz: On minimum sum representations for weighted voting games, Annals of Operations Research, Volume 196, Nr 1 (2012), Pages 361-369. Available at SSRN: https://ssrn.com/abstract=2361865 or http://dx.doi.org/10.2139/ssrn.2361865