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Characterization of the multi-group Gini Segregation index

Author

Listed:
  • Francesco Andreoli

    (Department of Economics (University of Verona))

  • Claudio Zoli

    (Department of Economics (University of Verona))

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.

Suggested Citation

  • Francesco Andreoli & Claudio Zoli, 2025. "Characterization of the multi-group Gini Segregation index," Working Papers 10/2025, University of Verona, Department of Economics.
    • Handle: RePEc:ver:wpaper:10/2025
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    References listed on IDEAS

    as
    1. Robert Hutchens, 2004. "One Measure of Segregation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 555-578, May.
    2. Frankel, David M. & Volij, Oscar, 2011. "Measuring school segregation," Journal of Economic Theory, Elsevier, vol. 146(1), pages 1-38, January.
    3. Thibault Gajdos & John Weymark, 2005. "Multidimensional generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(3), pages 471-496, October.
    4. Francesco Andreoli, 2014. "The Gini-Exposure Index for Measuring Segregation in Networks," Rivista italiana degli economisti, Società editrice il Mulino, issue 1, pages 129-168.
    5. Alonso-Villar, Olga & del Río, Coral, 2010. "Local versus overall segregation measures," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 30-38, July.
    6. Koshevoy, G. A. & Mosler, K., 1997. "Multivariate Gini Indices," Journal of Multivariate Analysis, Elsevier, vol. 60(2), pages 252-276, February.
    7. Federico Echenique & Roland G. Fryer Jr & Alex Kaufman, 2006. "Is School Segregation Good or Bad?," American Economic Review, American Economic Association, vol. 96(2), pages 265-269, May.
    8. Francesco Andreoli & Claudio Zoli, 2023. "Robust dissimilarity comparisons with categorical outcomes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(3), pages 397-437, April.
    9. Federico Echenique & Roland G. Fryer, 2007. "A Measure of Segregation Based on Social Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(2), pages 441-485.
    10. David M. Cutler & Edward L. Glaeser, 1997. "Are Ghettos Good or Bad?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 827-872.
    11. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    12. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
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    Keywords

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    JEL classification:

    • R23 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Household Analysis - - - Regional Migration; Regional Labor Markets; Population
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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