A ranking method based on handicaps

Ranking methods are fundamental tools in many areas. Popular methods aggregate the statements of `experts' in different ways. As such, there are various reasonable ranking methods, each one of them more or less adapted to the environment under consideration.This paper introduces a new method, c...

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Bibliographic Details
Published in:Theoretical economics 2014-09, Vol.9 (3), p.915-942
Main Author: Demange, Gabrielle
Format: Article
Language:English
Subjects:
Counting
D71
D89
Disability
Economic theory
Economics and Finance
Experts
handicap
Humanities and Social Sciences
invariant method
Methods
peers' method
Property
Ranking
Ratings & rankings
scaling matrix
scores
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Summary:Ranking methods are fundamental tools in many areas. Popular methods aggregate the statements of `experts' in different ways. As such, there are various reasonable ranking methods, each one of them more or less adapted to the environment under consideration.This paper introduces a new method, called the handicap-based method, and characterizes it through appealing properties. This method assigns not only scores to the items but also weights to the experts. Scores and weights form an equilibrium for a relationship based on the notion of handicaps. The method is, in a sense made precise in the paper, the counterpart to the counting method in environments that require intensity-invariance. Intensity-invariance is a desirable property when the intensity of the experts' statements has to be controlled. Otherwise, both the counting and handicap-based methods satisfy a property called homogeneity, which is a desirable property when cardinal statements matter, as is the case in many applications.
ISSN:1555-7561
1933-6837
1555-7561
DOI:10.3982/TE1217