Fraction-Like ratings from preferential voting

Rosa Camps, Xavier Mora, Laia Saumell

Research output: Contribution to journalArticleResearchpeer-review


A method is given for resolving a matrix of preference scores into a well-specified mixture of options. This is done in agreement with several desirable properties, including the continuity of the mixing proportions with respect to the preference scores and a condition of compatibility with the Condorcet-Smith majority principle. These properties are achieved by combining the classical rating method of Zermelo with a projection procedure introduced in previous papers of the same authors.
Original languageEnglish
Pages (from-to)99-136
JournalPublicacions Matematiques
Issue number1
Publication statusPublished - 1 Jan 2015


  • Clone consistency
  • Condorcet-Smith principle
  • Continuous rating
  • Luce's choice model
  • Majority principles
  • One-Dimensional scaling
  • Paired comparisons
  • Preferential voting
  • Zermelo's method of strengths


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