Paired Comparisons Analysis

An Axiomatic Approach to Rankings in Tournaments

J. Gonzalez-Diaz, R.L.P. Hendrickx, E.R.M.A. Lohmann

Research output: Working paperDiscussion paperOther research output

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Abstract

In this paper we present an axiomatic analysis of several ranking methods for tournaments. We find that two of them exhibit a very good behaviour with respect to the set of properties under consideration. One of them is the maximum likelihood ranking, the most common method in statistics and psychology. The other one is a new ranking method introduced in this paper: recursive Buchholz. One of the most widely studied methods in social choice, the fair bets ranking, also performs quite well, but fails to satisfy some arguably important properties.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages23
Volume2011-116
Publication statusPublished - 2011

Publication series

NameCentER Discussion Paper
Volume2011-116

Fingerprint

Paired comparisons
Ranking
Tournament
Axiomatic approach
Maximum likelihood
Statistics
Axiomatics
Psychology
Social choice

Keywords

  • Tournament
  • ranking
  • paired comparisons
  • fair bets
  • maximum likelihood

Cite this

Gonzalez-Diaz, J., Hendrickx, R. L. P., & Lohmann, E. R. M. A. (2011). Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments. (CentER Discussion Paper; Vol. 2011-116). Tilburg: Operations research.
Gonzalez-Diaz, J. ; Hendrickx, R.L.P. ; Lohmann, E.R.M.A. / Paired Comparisons Analysis : An Axiomatic Approach to Rankings in Tournaments. Tilburg : Operations research, 2011. (CentER Discussion Paper).
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Gonzalez-Diaz, J, Hendrickx, RLP & Lohmann, ERMA 2011 'Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments' CentER Discussion Paper, vol. 2011-116, Operations research, Tilburg.

Paired Comparisons Analysis : An Axiomatic Approach to Rankings in Tournaments. / Gonzalez-Diaz, J.; Hendrickx, R.L.P.; Lohmann, E.R.M.A.

Tilburg : Operations research, 2011. (CentER Discussion Paper; Vol. 2011-116).

Research output: Working paperDiscussion paperOther research output

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KW - paired comparisons

KW - fair bets

KW - maximum likelihood

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Gonzalez-Diaz J, Hendrickx RLP, Lohmann ERMA. Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments. Tilburg: Operations research. 2011. (CentER Discussion Paper).