Physica A 415 (2014) 54–60
Contents lists available at ScienceDirect
Physica A
journal homepage: www.elsevier.com/locate/physa
Race, gender and the econophysics of income distribution
in the USA
✩
Anwar Shaikh
a,∗
, Nikolaos Papanikolaou
b
, Noe Wiener
a
a
Department of Economics, New School for Social Research, New York, NY 10003, USA
b
Department of Economics, Lehman College of The City University of New York, New York, NY 10468, USA
highlights
• Shows that labor income distributions by race and gender are roughly exponential.
• Results support Yakovenko econophysics ‘‘two-class’’ income distribution hypothesis.
• Regressions yield R
2
≈ 0.99 and actual/predicted mean incomes from 1.03 to 1.10.
• Weibull probability distribution provides only marginally better results.
• Social policy does not seem to affect intra-group race and gender distributions.
article info
Article history:
Received 9 December 2013
Received in revised form 10 July 2014
Available online 1 August 2014
Keywords:
Economics
Econophysics
Income distribution
Classical statistical mechanics
Gender and race
abstract
The econophysics ‘‘two-class’’ theory of Yakovenko and his co-authors shows that the dis-
tribution of labor incomes is roughly exponential. This paper extends this result to US sub-
groups categorized by gender and race. It is well known that Males have higher average
incomes than Females, and Whites have higher average incomes than African-Americans.
It is also evident that social policies can affect these income gaps. Our surprising finding is
that nonetheless intra-group distributions of pre-tax labor incomes are remarkably similar
and remain close to exponential. This suggests that income inequality can be usefully ad-
dressed by taxation policies, and overall income inequality can be modified by also shifting
the balance between labor and property incomes.
© 2014 Elsevier B.V. All rights reserved.
1. Introduction
The study of income distribution in capitalist societies can be traced back to Pareto’s (1897) finding that they seem to
follow a particular (Pareto) power law. Modern evidence confirms that this law only applies to the upper tail of the distri-
bution [1, p. 1], [2]. At the same time, it has been repeatedly shown that the lower bulk of the income distribution does not
follow a Pareto law [3, p. 585].
One way to address these results is to try to encompass the whole range of incomes by means of a single distribution such
as the log-normal, Levy, Gamma, Champernowne and others [3]. An alternate path has been proposed in the econophysics
‘‘two-class’’ theory of income distribution (EPTC) of Yakovenko and his co-authors. They argue on theoretical grounds that
labor income approximately follows an exponential (thermal) distribution while property income follows a Pareto (su-
perthermal) distribution. Personal incomes may of course encompass both labor and property incomes, but it is plausible
✩
We wish to thank to two anonymous referees for their insightful and helpful comments on earlier drafts.
∗
Corresponding author. Tel.: +1 7187683935.
E-mail addresses: shaikh@newschool.edu, ashaikh606@gmail.com (A. Shaikh).
http://dx.doi.org/10.1016/j.physa.2014.07.043
0378-4371/© 2014 Elsevier B.V. All rights reserved.