Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments
AbstractIn 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2011-116.
Date of creation: 2011
Date of revision:
Contact details of provider:
Web page: http://center.uvt.nl
Tournament; ranking; paired comparisons; fair bets; maximum likelihood;
Find related papers by JEL classification:
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
This paper has been announced in the following NEP Reports:
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ignacio Palacios-Huerta & Oscar Volij, 2004.
"The Measurement of Intellectual Influence,"
Econometric Society, vol. 72(3), pages 963-977, 05.
- Ignacio Palacios-Huerta & Oscar Volij, 2002. "The Measurement of Intellectual Influence," Economic theory and game theory 015, Oscar Volij.
- Volij, Oscar & Palacios-Huerta, Ignacio, 2004. "The Measurment of Intellectual Influence," Staff General Research Papers 10797, Iowa State University, Department of Economics.
- Giora Slutzki & Oscar Volij, 2005. "Ranking participants in generalized tournaments," International Journal of Game Theory, Springer, vol. 33(2), pages 255-270, 06.
- Borm, Peter & Fiestras-Janeiro, Gloria & Hamers, Herbert & Sanchez, Estela & Voorneveld, Mark, 2002.
"On the convexity of games corresponding to sequencing situations with due dates,"
European Journal of Operational Research,
Elsevier, vol. 136(3), pages 616-634, February.
- Borm, P.E.M. & Fiestras-Janeiro, G. & Hamers, H.J.M. & Sánchez, E. & Voorneveld, M., 1999. "On the Convexity of Games Corresponding to Sequencing Situations with Due Dates," Discussion Paper 1999-49, Tilburg University, Center for Economic Research.
- Borm, P.E.M. & Fiestras-Janeiro, G. & Hamers, H.J.M. & Sánchez, E. & Voorneveld, M., 2002. "On the convexity of games corresponding to sequencing situations with due dates," Open Access publications from Tilburg University urn:nbn:nl:ui:12-88223, Tilburg University.
- Denis Bouyssou, 2004. "Monotonicity of ‘ranking by choosing’: A progress report," Social Choice and Welfare, Springer, vol. 23(2), pages 249-273, October.
- Marco Slikker & Peter Borm & René Brink, 2012. "Internal slackening scoring methods," Theory and Decision, Springer, vol. 72(4), pages 445-462, April.
- Bhaskar Dutta & Jean-Francois Laslier, 1999.
"Comparison functions and choice correspondences,"
Social Choice and Welfare,
Springer, vol. 16(4), pages 513-532.
- Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer, vol. 26(1), pages 75-92, January.
- Liebowitz, S J & Palmer, J P, 1984. "Assessing the Relative Impacts of Economic Journals," Journal of Economic Literature, American Economic Association, vol. 22(1), pages 77-88, March.
- P. Herings & Gerard Laan & Dolf Talman, 2005. "The positional power of nodes in digraphs," Social Choice and Welfare, Springer, vol. 24(3), pages 439-454, 06.
- Brozos-Vázquez, Miguel & Campo-Cabana, Marco Antonio & Díaz-Ramos, José Carlos & González-Díaz, Julio, 2008. "Ranking participants in tournaments by means of rating functions," Journal of Mathematical Economics, Elsevier, vol. 44(11), pages 1246-1256, December.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Richard Broekman).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.