Ranking by Rating
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.
|Date of creation:||2016|
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- Demange, Gabrielle, 2014.
"A ranking method based on handicaps,"
Econometric Society, vol. 9(3), September.
- Gabrielle Demange, 2013. "A ranking method based on handicaps," PSE Working Papers halshs-00687180, HAL.
- Gabrielle Demange, 2014. "A ranking method based on handicaps," PSE - Labex "OSE-Ouvrir la Science Economique" halshs-01109087, HAL.
- Gabrielle Demange, 2014. "A Ranking Method Based on Handicaps," CESifo Working Paper Series 4636, CESifo Group Munich.
- W. M. Gorman, 1968. "The Structure of Utility Functions," Review of Economic Studies, Oxford University Press, vol. 35(4), pages 367-390.
- 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)
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