Characterization of the multi-group Gini Segregation index

Francesco Andreoli () and Claudio Zoli ()
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Francesco Andreoli: Department of Economics (University of Verona)
Claudio Zoli: Department of Economics (University of Verona)

No 10/2025, Working Papers from University of Verona, Department of Economics

Abstract: Segregation analysis is concerned with the way in which mutually exclusive groups are dissimilarly distributed across non-overlapping organizational units. We axiomatically derive a novel multi-group measure of segregation, the Gini Segregation index, which values segregation as a form of dissimilarity between groups distributions. The index coincides with the volume spanned by the zonotope representation of the data (a generalization of the segregation curve to more than two groups) and is hence consistent with robust segregation partial orders discussed in the literature. The axiomatic model that we consider could also be useful to characterize volume based measures of multivariate inequality and mobility.

Keywords: dissimilarity; Gini; volume; zonotope (search for similar items in EconPapers)
JEL-codes: D63 D85 R23 (search for similar items in EconPapers)
Pages: 26
Date: 2025-12
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