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Segregation, informativeness and Lorenz dominance

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  • Casilda Vega
  • Oscar Volij

Abstract

It is possible to partially order cities according to the informativeness of neighborhoods about their ethnic groups. It is also possible to partially order cities with two ethnic groups according to the Lorenz criterion. We show that a segregation order satisfies four well-established segregation principles if and only if it is consistent with the informativeness criterion. We then use this result to show that for the two-group case, the Lorenz and the informativeness criteria are equivalent. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Casilda Vega & Oscar Volij, 2014. "Segregation, informativeness and Lorenz dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 547-564, October.
    • Handle: RePEc:spr:sochwe:v:43:y:2014:i:3:p:547-564
    DOI: 10.1007/s00355-014-0801-3
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    References listed on IDEAS

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    1. Frankel, David M. & Volij, Oscar, 2011. "Measuring school segregation," Journal of Economic Theory, Elsevier, vol. 146(1), pages 1-38, January.
    2. Casilda Vega & Oscar Volij, 2014. "Segregation, informativeness and Lorenz dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 547-564, October.
    3. Hutchens, Robert M., 1991. "Segregation curves, Lorenz curves, and inequality in the distribution of people across occupations," Mathematical Social Sciences, Elsevier, vol. 21(1), pages 31-51, February.
    4. Grant, Simon & Kajii, Atsushi & Polak, Ben, 1998. "Intrinsic Preference for Information," Journal of Economic Theory, Elsevier, vol. 83(2), pages 233-259, December.
    5. 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.
    6. Coralio Ballester & Marc Vorsatz, 2014. "Random Walk-Based Segregation Measures," The Review of Economics and Statistics, MIT Press, vol. 96(3), pages 383-401, July.
    7. Francesco Andreoli & Claudio Zoli, 2012. "On the Measurement of Dissimilarity and Related Orders," Working Papers 274, ECINEQ, Society for the Study of Economic Inequality.
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    1. Casilda Vega & Oscar Volij, 2014. "Segregation, informativeness and Lorenz dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 547-564, October.
    2. Oscar Volij, 2018. "Segregation: theoretical approaches," Chapters, in: Conchita D’Ambrosio (ed.), Handbook of Research on Economic and Social Well-Being, chapter 21, pages 480-503, Edward Elgar Publishing.
    3. 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.
    4. Carmen Puerta & Ana Urrutia, 2016. "A characterization of the Gini segregation index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 519-529, October.
    5. Hutchens, Robert, 2015. "Symmetric measures of segregation, segregation curves, and Blackwell’s criterion," Mathematical Social Sciences, Elsevier, vol. 73(C), pages 63-68.
    6. Francesco Andreoli & Claudio Zoli, 2019. "Robust dissimilarity comparisons with categorical outcomes," Working Papers 502, ECINEQ, Society for the Study of Economic Inequality.

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    More about this item

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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