A continuous rating method for preferential voting
Optimization and Control
2009-12-12 v2 Computer Science and Game Theory
Abstract
A method is given for quantitatively rating the social acceptance of different options which are the matter of a preferential vote. The proposed method is proved to satisfy certain desirable conditions, among which there is a majority principle, a property of clone consistency, and the continuity of the rates with respect to the data. One can view this method as a quantitative complement for a qualitative method introduced in 1997 by Markus Schulze. It is also related to certain methods of one-dimensional scaling or cluster analysis.
Keywords
Cite
@article{arxiv.0810.2263,
title = {A continuous rating method for preferential voting},
author = {Rosa Camps and Xavier Mora and Laia Saumell},
journal= {arXiv preprint arXiv:0810.2263},
year = {2009}
}
Comments
v2: a comment has been added in section 18 about monotonicity