Open Access
2015 Fraction-like ratings from preferential voting
Rosa Camps, Xavier Mora, Laia Saumell
Publ. Mat. 59(1): 99-136 (2015).


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.


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Rosa Camps. Xavier Mora. Laia Saumell. "Fraction-like ratings from preferential voting." Publ. Mat. 59 (1) 99 - 136, 2015.


Published: 2015
First available in Project Euclid: 21 January 2015

zbMATH: 1305.78011
MathSciNet: MR3302578

Primary: 05C20‎ , 91B12 , 91B14 , 91C15 , 91C20

Keywords: 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

Rights: Copyright © 2015 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.59 • No. 1 • 2015
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