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A ranking method based on handicaps

Listed author(s):
  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)

Ranking methods are fundamental tools in many areas. Popular methods aggregate the statements of “experts” in different ways. As such, there are various reasonable ranking methods, each one of them more or less adapted to the environment under consideration. This paper introduces a new method, called the handicap-based method, and characterizes it through appealing properties. This method assigns not only scores to the items, but also weights to the experts. Scores and weights form an equilibrium for a relationship based on the notion of handicaps. The method is, in a sense made precise in the paper, the counterpart to the counting method in environments that require intensity invariance. Intensity invariance is a desirable property when the intensity of the experts' statements has to be controlled. Otherwise, both the counting and the handicap-based methods satisfy a property called homogeneity, which is a desirable property when cardinal statements matter, as is the case in many applications.

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Paper provided by HAL in its series PSE - Labex "OSE-Ouvrir la Science Economique" with number halshs-01109087.

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Date of creation: Sep 2014
Publication status: Published in Theoretical Economics, Econometric Society, 2014, 9 (3), pp.915-942. <10.3982/TE1217>
Handle: RePEc:hal:pseose:halshs-01109087
DOI: 10.3982/TE1217
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01109087
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

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  1. Gabrielle Demange, 2012. "On the influence of a ranking system," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 431-455, July.
  2. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(1), pages 75-92, January.
  3. M. L. Balinski & G. Demange, 1989. "An Axiomatic Approach to Proportionality Between Matrices," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 700-719, November.
  4. de Clippel, Geoffroy & Moulin, Herve & Tideman, Nicolaus, 2008. "Impartial division of a dollar," Journal of Economic Theory, Elsevier, vol. 139(1), pages 176-191, March.
  5. 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.
  6. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
  7. AMIR, Rabah, 2002. "Impact-adjusted citations as a measure of journal quality," CORE Discussion Papers 2002074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. van den Brink, René & Gilles, Robert P., 2009. "The outflow ranking method for weighted directed graphs," European Journal of Operational Research, Elsevier, vol. 193(2), pages 484-491, March.
  9. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer;The Psychometric Society, vol. 18(1), pages 39-43, March.
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