A note on the decomposability of inequality measures - HAL-SHS - Sciences de l'Homme et de la Société
Article Dans Une Revue Social Choice and Welfare Année : 2019

A note on the decomposability of inequality measures

Résumé

We propose a decomposition of inequality measures. By taking the example of the decomposition of income inequality by components, we show that this decomposition fits the definition of two elements: the sum of pure marginal contributions of income components and the sum of the pairwise interactions of all income components. This decomposition relies on the Shapley function and remains valid for a decomposition by subgroups and by components.
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Dates et versions

halshs-02294331 , version 1 (21-10-2019)

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Frederic Chantreuil, Sebastien Courtin, Kévin Fourrey, Isabelle Lebon. A note on the decomposability of inequality measures. Social Choice and Welfare, 2019, 53 (2), pp.283-298. ⟨10.1007/s00355-019-01183-9⟩. ⟨halshs-02294331⟩
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