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.
| Original language | English |
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| Pages (from-to) | 139-169 |
| Number of pages | 30 |
| Journal | Social Choice and Welfare |
| Volume | 42 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 |