Abstract
Consider the problem of ranking social alternatives based on the number of voters that prefer one alternative to the other. Or consider the problem of ranking chess players by their past performance. A wide variety of ranking methods have been proposed to deal with these problems. Using six independent axioms, we characterize the fair-bets ranking method proposed by Daniels [4] and Moon and Pullman [14].
Original language | English |
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Pages (from-to) | 255-270 |
Number of pages | 16 |
Journal | International Journal of Game Theory |
Volume | 33 |
Issue number | 2 |
DOIs | |
State | Published - 1 Jun 2005 |
Keywords
- Birkhoff's theorem
- Perron-Frobenius theorem
- Ranking and scoring methods
- Tournaments
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics (miscellaneous)
- Social Sciences (miscellaneous)
- Economics and Econometrics
- Statistics, Probability and Uncertainty