How Does Relative Size of High-inequality Subgroup Affect Gini Coefficient?

  • Seiyama Kazuo
    Graduate School of Humanity and Sociology University of Tokyo

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  • 不平等度の高い集団の比率とジニ係数の変化
  • フビョウドウド ノ タカイ シュウダン ノ ヒリツ ト ジ ニ ケイスウ ノ ヘンカ

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Abstract

This paper presents, under a general condition, the formula which expresses the Gini coefficient as a function of relative sizes of subgroups, and shows that, in two subgroups case, the shape of the graph of Gini coefficient as a function of relative size is classified into three types according to the position of inter-subgroup Gini coefficient between two intra-subgroup Gini coefficients. The general condition which enables this analysis is that each intra-subgroup distribution is kept unchanged when relative sizes are changing.

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