A Head‐Count Measure of Rank Mobility and its Directional Decomposition

15 Pages Posted: 17 Sep 2018

See all articles by Walter Bossert

Walter Bossert

CIREQ

Burak Can

Maastricht University

Conchita D'Ambrosio

Universite du Luxembourg - Faculty of Language and Literature, Humanities, Arts and Education

Date Written: October 2018

Abstract

We propose and characterize a new measure of rank mobility. The index is given by the head count of those whose positions change in the move from one period to the next divided by population size. The interpretation of this head‐count ratio is straightforward and intuitive. In addition, we illustrate how the measure can be decomposed into an index of upwards mobility and an index of downwards mobility. The axioms used in our characterization results are appealing and easy to justify. We conclude with an application to the Human Development Index, a summary measure of average achievement in key dimensions of human development: a long and healthy life, being knowledgeable and having a decent standard of living.

Suggested Citation

Bossert, Walter and Can, Burak and D'Ambrosio, Conchita, A Head‐Count Measure of Rank Mobility and its Directional Decomposition (October 2018). Economica, Vol. 85, Issue 340, pp. 793-807, 2018. Available at SSRN: https://ssrn.com/abstract=3246022 or http://dx.doi.org/10.1111/ecca.12256

Walter Bossert (Contact Author)

CIREQ ( email )

C.P. 6128, succursale Centre-Ville
Montreal, Quebec H3C 3J7
Canada

Burak Can

Maastricht University

P.O. Box 616
Maastricht, 6200MD
Netherlands

Conchita D'Ambrosio

Universite du Luxembourg - Faculty of Language and Literature, Humanities, Arts and Education ( email )

Campus Belval
2, Avenue de l'Université
Esch sur Alzette, L-4365
Luxembourg

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