|
|||||
|
|
Paired comparisons analysis: an axiomatic approach to ranking methods |
|
| Authors: | Julio González-Díaz Ruud Hendrickx Edwin Lohmann |
| Affiliation: | 1. Department of Statistics and Operations Research, University of Santiago de Compostela, Santiago de Compostela, Spain 2. CentER and Department of Organization and Strategy, Tilburg University, Tilburg, Netherlands 3. CentER and Department of Econometrics and Operations Research, Tilburg University, Tilburg, Netherlands |
| Abstract: | In this paper we present an axiomatic analysis of several ranking methods for general tournaments. We find that the ranking method obtained by applying maximum likelihood to the (Zermelo-)Bradley-Terry model, the most common method in statistics and psychology, is one of the ranking methods that perform best with respect to the set of properties under consideration. A less known ranking method, generalised row sum, performs well too. We also study, among others, the fair bets ranking method, widely studied in social choice, and the least squares method. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |