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Decomposing World Income distribution : DoesThe World Have A Middle Class?

Branko Milanovic
- Vol. 2, Iss: 2, pp 88-110
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TLDR
In this article, the authors used Yitzhaki's Gini decomposition to decompose total income inequality between individuals in the world, by continents and regions, and found that Asia is the most heterogeneous continent; between-country inequality there is more important than inequality in incomes within-countries.
Abstract
Using the national income/expenditure distribution data from 119 countries, the paper decomposes total income inequality between the individuals in the world, by continents and regions. We use Yitzhaki's Gini decomposition which allows for an exact breakdown (without a residual term) of the overall Gini by recipients. We find that Asia is by far the most heterogeneous continent; between-country inequality there is more important than inequality in incomes within-countries. Africa, Latin America, and Western Europe/North America are quite homogeneous continents with small differences between the countries (so that most of their inequality is explained by within-country inequality). If we divide the world into three groups: the rich G7 (and its equivalents), the less developed countries (all those with income per capita less than, or equal to, Brazil's), and the middle-income countries (all those with income level between Brazil and Italy), we find that there is very little overlap between such groupings, i.e. very few people from the LDCs have incomes which are in the range of the rich countries.

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References
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Inequality decomposition by population subgroups

Anthony F. Shorrocks
- 01 Nov 1984 - 
TL;DR: In this paper, the implications of imposing a weak aggregation condition on inequality indices, so that the overall inequality value can be computed from information concerning the size, mean, and inequality value of each population subgroup, are examined.
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A Decomposition Analysis of the Trend in UK Income Inequality

TL;DR: In this article, the authors proposed a shift-share analysis to compare the effect of demographic and social changes on the distribution of income in the UK over a period of one year.
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On the interpretation and disaggregation of GINI coefficients

TL;DR: The Gini coefficient can be interpreted in terms of the average expected gain from having the option of receiving the income of some other random individual Variation within the components of the expression for the gini coefficient contributes to overall inequality as mentioned in this paper.
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A note on the calculation and interpretation of the Gini index

TL;DR: This paper derived a convenient way to calculate the Gini coefficient using the covariance, which improves on accuracy since, unlike other approaches, it requires no aggregation, and they also point out some intuitive ways of interpreting the gini coefficient.