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Ranking by rating

Author

Listed:
  • Sprumont, Yves

    () (Département de Sciences Économiques and CIREQ, University of Montreal)

Abstract

Ranking by Rating consists in evaluating the performances of items using exogenous rating functions, and ranking these items according to their performance ratings. Any such method is separable: the ordering of two items does not depend on the performances of the remaining items. When performances belong to a finite set, ranking by rating is characterized by separability and a property of consistency; this characterization generalizes to the infinite case under a continuity axiom. Consistency follows from separability and symmetry, or from monotonicity alone. When performances are vectors in R₊^{m}, a separable, symmetric, monotonic, continuous, and invariant method must rank items according to a weighted geometric mean of their performances along the m dimensions.

Suggested Citation

  • Sprumont, Yves, 2018. "Ranking by rating," Theoretical Economics, Econometric Society, vol. 13(1), January.
  • Handle: RePEc:the:publsh:2446
    as

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    File URL: http://econtheory.org/ojs/index.php/te/article/viewFile/20180001/19815/578
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    References listed on IDEAS

    as
    1. Demange, Gabrielle, 2014. "A ranking method based on handicaps," Theoretical Economics, Econometric Society, vol. 9(3), September.
    2. W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
    3. 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.
    4. 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.
    5. Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-1015, September.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Ranking methods; separability;

    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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