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A ranking method based on handicaps

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  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris - Institut national de la recherche agronomique (INRA), EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

Abstract

Ranking systems are becoming a fundamental tool in many areas, including the Web environment for ranking pages. PageRank, the most popular method, is based on the links stemming from a page and defined so as to be immune to their inflation, a property called intensity-invariance. This paper introduces and characterizes a new intensity-invariant method, called the handicap-based method. The method assigns not only a ranking to the items but also weights to the experts on which the ranking is based. Ranking 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 of the counting method in environments that require intensity-invariance.

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Bibliographic Info

Paper provided by HAL in its series PSE Working Papers with number halshs-00687180.

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Date of creation: Apr 2013
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Handle: RePEc:hal:psewpa:halshs-00687180

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Related research

Keywords: Ranking ; Scores; Invariant Method ; Peers Method ; Handicap ; Scaling Matrix;

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  1. 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.
  2. Leo Katz, 1953. "A new status index derived from sociometric analysis," Psychometrika, Springer, vol. 18(1), pages 39-43, March.
  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," Social Choice and Welfare, Springer, vol. 39(2), pages 431-455, July.
  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. Michel Balinski & Gabrielle Demange, 1989. "An Axiomatic Approach to Proportionality between Matrices," Post-Print hal-00686748, HAL.
  8. Giora Slutzki & Oscar Volij, 2006. "Scoring of web pages and tournaments—axiomatizations," Social Choice and Welfare, Springer, vol. 26(1), pages 75-92, January.
  9. 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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