Fraction-Like ratings from preferential voting

Rosa Camps; Xavier Mora; Laia Saumell

doi:10.5565/PUBLMAT_59115_06

Fraction-Like ratings from preferential voting

Rosa Camps, Xavier Mora, Laia Saumell

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

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 language	English
Pages (from-to)	99-136
Journal	Publicacions Matematiques
Volume	59
Issue number	1
DOIs	https://doi.org/10.5565/PUBLMAT_59115_06
Publication status	Published - 1 Jan 2015

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

Access to Document

10.5565/PUBLMAT_59115_06

Fingerprint Dive into the research topics of 'Fraction-Like ratings from preferential voting'. Together they form a unique fingerprint.

Cite this

@article{4024b1ff2ac344f3b31cb17ce0f13935,

title = "Fraction-Like ratings from preferential voting",

abstract = "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.",

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",

author = "Rosa Camps and Xavier Mora and Laia Saumell",

year = "2015",

month = jan,

day = "1",

doi = "10.5565/PUBLMAT_59115_06",

language = "English",

volume = "59",

pages = "99--136",

journal = "Publicacions Matematiques",

issn = "0214-1493",

publisher = "Universitat Autonoma de Barcelona, Seccio de Matematiques",

number = "1",

}

TY - JOUR

T1 - Fraction-Like ratings from preferential voting

AU - Camps, Rosa

AU - Mora, Xavier

AU - Saumell, Laia

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

KW - Clone consistency

KW - Condorcet-Smith principle

KW - Continuous rating

KW - Luce's choice model

KW - Majority principles

KW - One-Dimensional scaling

KW - Paired comparisons

KW - Preferential voting

KW - Zermelo's method of strengths

U2 - 10.5565/PUBLMAT_59115_06

DO - 10.5565/PUBLMAT_59115_06

M3 - Article

VL - 59

SP - 99

EP - 136

JO - Publicacions Matematiques

JF - Publicacions Matematiques

SN - 0214-1493

IS - 1

ER -