Mobility and Mobility Measures

Fuente: arXiv
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Autori principali: Cowell, Frank A., Flachaire, Emmanuel
Natura: Preprint
Pubblicazione: 2025
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author Cowell, Frank A.
Flachaire, Emmanuel
author_facet Cowell, Frank A.
Flachaire, Emmanuel
contents We examine whether mobility measures appropriately represent changes in individual status, like income or ranks. We suggest three elementary principles for mobility comparisons and show that many commonly used indices violate one or more of them. These principles are used to characterise two classes of measures that have a natural interpretation in terms of distributional analysis. Class-1 measures are based on the summation of power functions of individual status levels and have connections with generalised-entropy and Kolm inequality measures. Class-2 measures are based on the weighted aggregation of individual status changes and have connections with (extended) Gini inequality measures.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19608
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Mobility and Mobility Measures
Cowell, Frank A.
Flachaire, Emmanuel
General Economics
Economics
We examine whether mobility measures appropriately represent changes in individual status, like income or ranks. We suggest three elementary principles for mobility comparisons and show that many commonly used indices violate one or more of them. These principles are used to characterise two classes of measures that have a natural interpretation in terms of distributional analysis. Class-1 measures are based on the summation of power functions of individual status levels and have connections with generalised-entropy and Kolm inequality measures. Class-2 measures are based on the weighted aggregation of individual status changes and have connections with (extended) Gini inequality measures.
title Mobility and Mobility Measures
topic General Economics
Economics
url https://arxiv.org/abs/2502.19608