2008/10/13 by Rosa Camps, Camps, Rosa, Xavier Mora +3 · 1 citation
Economics, Econometrics and Finance · Mathematics · #05C20 #91B12 #91B14 #91C15 #91C20 #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #FOS: Mathematics #Game Theory and Voting Systems #Optimization and Control (math.OC) #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.0810.2263
openalex publication_date 2008/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.