2009/12/31 by Rosa Camps, Xavier Mora, Laia Saümell +1 · 8 citations
Computer Science · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Artificial intelligence #Coherence (philosophical gambling strategy) #Complement (music) #Completeness (order theory) #Computer science #Condorcet method #Consistency (knowledge bases) #Discrete mathematics #Econometrics #Game Theory and Voting Systems #Mathematical economics #Mathematics #Multi-Criteria Decision Making #Political science #Preference #Property (philosophy) #Ranking (information retrieval) #Rough Sets and Fuzzy Logic #Social choice theory #Statistics #Voting #cs.GT #math.OC #msc:05C20 #msc:91B12 #msc:91B14 #msc:91C15 #msc:91C20
paper · pdf · doi:10.1007/s00355-011-0548-z
published in Social Choice and Welfare 39(1), 141-170 (Springer Science+Business Media) · 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
arxiv created 2011/03/29 · openalex publication_date 2011/04/05 · arxiv updated 2012/03/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.