A continuous rating method for preferential voting. The complete case
Abstract
A method is given for quantitatively rating the social acceptance of different options which are the matter of a complete preferential vote. Completeness means that every voter expresses a comparison (a preference or a tie) about each pair of options. The proposed method is proved to have certain desirable properties, which include: the continuity of the rates with respect to the data, a decomposition property that characterizes certain situations opposite to a tie, the Condorcet-Smith principle, and a property of clone consistency. One can view this rating method as a complement for the ranking 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.0912.2190,
title = {A continuous rating method for preferential voting. The complete case},
author = {Rosa Camps and Xavier Mora and Laia Saumell},
journal= {arXiv preprint arXiv:0912.2190},
year = {2012}
}
Comments
This is part one of a revised version of arxiv:0810.2263. Version 3 is the result of certain modifications, both in the statement of the problem and in the concluding remarks, that enhance the results of the paper; the results themselves remain unchanged