Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments

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

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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

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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). Operations research.