Ranking by rating | Zendy

Sprumont Yves | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Ranking by rating

Author(s) -

Sprumont Yves

Publication year - 2018

Publication title -

theoretical economics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 4.404

H-Index - 32

eISSN - 1555-7561

pISSN - 1933-6837

DOI - 10.3982/te2446

Subject(s) - ranking (information retrieval) , monotonic function , axiom , mathematics , consistency (knowledge bases) , separable space , rank (graph theory) , invariant (physics) , set (abstract data type) , discrete mathematics , combinatorics , computer science , artificial intelligence , mathematical analysis , geometry , mathematical physics , programming language

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research