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 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.

DOI: 10.1007/s00355-011-0548-z

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Cite this paper

@article{Camps2012ACR, title={A continuous rating method for preferential voting. The complete case}, author={Rosa Camps and Xavier Mora and Laia Saumell}, journal={Social Choice and Welfare}, year={2012}, volume={39}, pages={141-170} }