A continuous rating method for preferential voting

Details A continuous rating method for preferential voting A continuous rating method for preferential voting

2008-10-13

arxiv.org/abs/0810.2263v2

Mathematics

Optimization and Control

v2: a comment has been added in section 18 about monotonicity

Scientific paper

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.

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