Ranking by rating

Yves Sprumont ()

Theoretical Economics, 2018, vol. 13, issue 1

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.

Keywords: Ranking methods; separability (search for similar items in EconPapers)
JEL-codes: D71 D89 (search for similar items in EconPapers)
Date: 2018-01-31
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Related works:
Working Paper: Ranking by rating (2016)
Working Paper: Ranking by Rating (2016)
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