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A ranking method based on handicaps

Author

Listed:
  • Gabrielle Demange

    (PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - 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 - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

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.

Suggested Citation

  • Gabrielle Demange, 2013. "A ranking method based on handicaps," Working Papers halshs-00687180, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00687180
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00687180v3
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    References listed on IDEAS

    as
    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.
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    Cited by:

    1. Angus, Simon D. & Atalay, Kadir & Newton, Jonathan & Ubilava, David, 2021. "Geographic diversity in economic publishing," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 255-262.
    2. Eric Danan & Thibault Gajdos & Jean-Marc Tallon, 2023. "Tailored recommendations," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 15-34, January.
    3. Sprumont, Yves, 2018. "Ranking by rating," Theoretical Economics, Econometric Society, vol. 13(1), January.
    4. Demange, Gabrielle, 2017. "Mutual rankings," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 35-42.
    5. van den Brink, René & Rusinowska, Agnieszka, 2022. "The degree measure as utility function over positions in graphs and digraphs," European Journal of Operational Research, Elsevier, vol. 299(3), pages 1033-1044.
    6. René van den Brink & Agnieszka Rusinowska, 2017. "The degree measure as utility function over positions in networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01592181, HAL.
    7. Gabrielle Demange, 2021. "On the resolution of cross-liabilities," Working Papers halshs-03151128, HAL.
    8. Dequiedt, Vianney & Zenou, Yves, 2017. "Local and consistent centrality measures in parameterized networks," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 28-36.
    9. Kim‐Sau Chung & Meng‐Yu Liang & Melody Lo, 2022. "On the information contents of indirect citations," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(1), pages 156-173, February.
    10. Cho, Wonki Jo, 2022. "How to add apples and oranges: Aggregating performances of different nature," Games and Economic Behavior, Elsevier, vol. 131(C), pages 222-244.
    11. Karol Flores-Szwagrzak & Rafael Treibich, 2020. "Teamwork and Individual Productivity," Management Science, INFORMS, vol. 66(6), pages 2523-2544, June.
    12. Johannes König & David I. Stern & Richard S.J. Tol, 2022. "Confidence Intervals for Recursive Journal Impact Factors," Tinbergen Institute Discussion Papers 22-038/III, Tinbergen Institute.
    13. Germano, Fabrizio & Sobbrio, Francesco, 2020. "Opinion dynamics via search engines (and other algorithmic gatekeepers)," Journal of Public Economics, Elsevier, vol. 187(C).
    14. Ham, John C. & Wright, Julian & Ye, Ziqiu, 2023. "Documenting and Explaining the Dramatic Rise of the New Society Journals in Economics," IZA Discussion Papers 16337, Institute of Labor Economics (IZA).
    15. Brink, René van den & Rusinowska, Agnieszka, 2021. "The degree ratio ranking method for directed graphs," European Journal of Operational Research, Elsevier, vol. 288(2), pages 563-575.
    16. Lutz Bornmann & Alexander Butz & Klaus Wohlrabe, 2018. "What are the top five journals in economics? A new meta-ranking," Applied Economics, Taylor & Francis Journals, vol. 50(6), pages 659-675, February.
    17. Bergemann, Dirk & Ottaviani, Marco, 2021. "Information Markets and Nonmarkets," CEPR Discussion Papers 16459, C.E.P.R. Discussion Papers.
    18. Palacios-Huerta, Ignacio & Volij, Oscar, 2014. "Axiomatic measures of intellectual influence," International Journal of Industrial Organization, Elsevier, vol. 34(C), pages 85-90.
    19. Antonin Macé, 2023. "The Limits of Citation Counts," Working Papers halshs-01630095, HAL.
    20. L'aszl'o Csat'o, 2019. "Journal ranking should depend on the level of aggregation," Papers 1904.06300, arXiv.org, revised Sep 2019.
    21. Nicolas CARAYOL & Agenor LAHATTE, 2014. "Dominance relations and ranking when quantity and quality both matter: Applications to US universities and econ. departments worldwide," Cahiers du GREThA (2007-2019) 2014-14, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    22. Flores-Szwagrzak, Karol & Treibich, Rafael, 2015. "Co-authorship and the Measurement of Individual Productivity," Discussion Papers on Economics 17/2015, University of Southern Denmark, Department of Economics.
    23. Csató, László, 2019. "Journal ranking should depend on the level of aggregation," Journal of Informetrics, Elsevier, vol. 13(4).
    24. Bouyssou, Denis & Marchant, Thierry, 2016. "Ranking authors using fractional counting of citations: An axiomatic approach," Journal of Informetrics, Elsevier, vol. 10(1), pages 183-199.

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    More about this item

    Keywords

    Ranking; Scores; Invariant Method; Peers Method; Handicap; Scaling Matrix;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D89 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Other

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