A continuous rating method for preferential voting

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Authors
Camps, Rosa
Mora, Xavier
Saumell, Laia
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Abstract
Description
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.
Comment: v2: a comment has been added in section 18 about monotonicity
Keywords
Mathematics - Optimization and Control, Computer Science - Computer Science and Game Theory, 05C20, 91B12, 91B14, 91C15, 91C20
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