Social Choice and Welfare

, Volume 39, Issue 1, pp 141–170 | Cite as

A continuous rating method for preferential voting: the complete case

  • Rosa Camps
  • Xavier Mora
  • Laia Saumell
Original Paper


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 cluster analysis and one-dimensional scaling.


Total Order Transitive Closure Complete Case Continuous Rating Individual Vote 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Departament de MatemàtiquesUniversitat Autònoma de BarcelonaCataloniaSpain

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