Ranking by rating. Issue 1 (1st February 2018)

• Record Type: Journal Article
• Authors: Sprumont, Yves
• Is Part Of: Theoretical economics. Volume 13:Issue 1(2018)
• Page Start: 1
• Page End: 18
• Publication Date: 2018-02-01
• Subjects: Ranking methods -- separability; D71 -- D89; Economics -- Periodicals; 330.01
• DOI: 10.3982/TE2446
• Languages: English
• ISSNs: 1933-6837

Abstract

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.