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A Ranking Method Based on Handicaps

  • Gabrielle Demange

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 handicap-based methods satisfy a property called homogeneity, which is a desirable property when cardinal statements matter, as is the case in many applications. The method is illustrated for ranking economic journals.

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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4636.

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Date of creation: 2014
Date of revision:
Handle: RePEc:ces:ceswps:_4636
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  1. 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.
  2. René van den Brink & Robert P. Gilles, 0000. "The Outflow Ranking Method for Weighted Directed Graphs," Tinbergen Institute Discussion Papers 06-044/1, Tinbergen Institute.
  3. 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.
  4. Gabrielle Demange, 2012. "On the influence of a ranking system," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-00754615, HAL.
  5. Gabrielle Demange, 2012. "On the influence of a ranking system," Social Choice and Welfare, Springer, vol. 39(2), pages 431-455, July.
  6. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
  7. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer, vol. 26(1), pages 75-92, January.
  8. Woeginger, Gerhard J., 2008. "An axiomatic characterization of the Hirsch-index," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 224-232, September.
  9. Michel Balinski & Gabrielle Demange, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print hal-00686748, HAL.
  10. 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).
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