Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments

CentER Working Paper Series No. 2011-116

23 Pages Posted: 10 Nov 2011

See all articles by Ruud Hendrickx

Ruud Hendrickx

Tilburg University - Center for Economic Research (CentER)

Edwin Lohmann

Tilburg University

Julio Gonzalez Diaz

University of Santiago de Compostela - Department of Statistics and Operations Research; Autonomous University of Barcelona - Department of Economics and Economic History

Date Written: November 3, 2011

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.

Keywords: Tournament, ranking, paired comparisons, fair bets, maximum likelihood

JEL Classification: D71, D63, D61

Suggested Citation

Hendrickx, Ruud and Lohmann, Edwin and Gonzalez Diaz, Julio, Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments (November 3, 2011). CentER Working Paper Series No. 2011-116, Available at SSRN: https://ssrn.com/abstract=1956467 or http://dx.doi.org/10.2139/ssrn.1956467

Ruud Hendrickx (Contact Author)

Tilburg University - Center for Economic Research (CentER) ( email )

P.O. Box 90153
Tilburg, 5000 LE
Netherlands

Edwin Lohmann

Tilburg University ( email )

P.O. Box 90153
Tilburg, DC Noord-Brabant 5000 LE
Netherlands

Julio Gonzalez Diaz

University of Santiago de Compostela - Department of Statistics and Operations Research ( email )

Santiago de Compostela, 15706
Spain

Autonomous University of Barcelona - Department of Economics and Economic History ( email )

Edifici B - Campus Bellaterra
Barcelona, 08193
Spain

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