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Ranking by rating

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  • SPRUMONT, Yves

Abstract

Each item in a given collection is characterized by a set of possible performances. A (ranking) method is a function that assigns an ordering of the items to every performance profile. Ranking by Rating consists in evaluating each item’s performance by using an exogenous rating function, and ranking 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. We prove that every separable method must be of the ranking-by-rating type if (i) the set of possible performances is the same for all items and the method is anonymous, or (ii) the set of performances of each item is ordered and the method is monotonic. When performances are m-dimensional vectors, a separable, continuous, anonymous, monotonic, and invariant method must rank items according to a weighted geometric mean of their performances along the m dimensions.

Suggested Citation

  • SPRUMONT, Yves, 2016. "Ranking by rating," Cahiers de recherche 2016-03, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2016-03
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    File URL: http://hdl.handle.net/1866/13179
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    1. ,, 2014. "A ranking method based on handicaps," Theoretical Economics, Econometric Society, vol. 9(3), September.
    2. repec:hal:pseose:halshs-01109087 is not listed on IDEAS
    3. W. M. Gorman, 1968. "The Structure of Utility Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(4), pages 367-390.
    4. 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.
    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. Osborne, Dale K, 1976. "Irrelevant Alternatives and Social Welfare," Econometrica, Econometric Society, vol. 44(5), pages 1001-1015, September.
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    Cited by:

    1. 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.
    2. Kapustina Nadezhda (Капустина Н.В.) & Komaricheva Victoria (Комаричева В.А.) & Rustamova Irada (Рустамова И.Т.), 2021. "Knowledge Economics As An Innovative Factor For Economic Development And Growth [Экономика Знаний Как Инновационный Фактор Экономического Развития И Роста]," State and Municipal Management Scholar Notes, Russian Presidential Academy of National Economy and Public Administration, vol. 2, pages 117-120.
    3. Long, Yan & Sethuraman, Jay & Xue, Jingyi, 2021. "Equal-quantile rules in resource allocation with uncertain needs," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. Macé, Antonin, 2018. "Voting with evaluations: Characterizations of evaluative voting and range voting," Journal of Mathematical Economics, Elsevier, vol. 79(C), pages 10-17.

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    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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