Understanding the Mechanical Relationship between Inequality and Intergenerational Mobility

37 Pages Posted: 17 Jun 2016 Last revised: 7 Sep 2017

See all articles by Yonatan Berman

Yonatan Berman

Paris School of Economics (PSE); London Mathematical Laboratory

Date Written: September 6, 2017

Abstract

Income inequality and income intergenerational immobility are positively associated across countries. Here we provide an explanation for this association and show it is mechanically driven by the definition of the intergenerational earnings elasticity. This may hint that higher intergenerational mobility will lead to lower income inequality and vice versa. However, it questions the underlying economic significance of the empirical findings depicted in the so-called "Great Gatsby curve," as it presents the relationship between two measures of the same underlying mathematical property. We also find a similar relationship between the intergenerational earnings elasticity and the rank-rank slope. We conclude that measuring inequality using the Gini coefficient and intergenerational mobility using intergenerational earnings elasticity or rank-rank slope is fundamentally equivalent under general assumptions.

Keywords: Mobility, Inequality, Econometrics, Stochastic processes

JEL Classification: C0, D0, J0

Suggested Citation

Berman, Yonatan, Understanding the Mechanical Relationship between Inequality and Intergenerational Mobility (September 6, 2017). Available at SSRN: https://ssrn.com/abstract=2796563 or http://dx.doi.org/10.2139/ssrn.2796563

Yonatan Berman (Contact Author)

Paris School of Economics (PSE) ( email )

48 Boulevard Jourdan
Paris, 75014 75014
France

London Mathematical Laboratory

8 Margravine Gardens
London, London W6 8RH
United Kingdom

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