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Second‐Order Discrimination and Generalized Lorenz Dominance

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  • Rafael Salas
  • John A. Bishop
  • Lester A. Zeager

Abstract

We propose a definition of second‐order discrimination that does not require the reference distribution to first‐order dominate the comparison one, and allows rankings of discrimination patterns when both the reference and the comparison distributions differ. It involves comparing the probabilities that randomly selected individuals in the reference and comparison distributions belong to subgroups having the same cumulative mean income, yields orderings of distributions equivalent to those from generalized Lorenz dominance, and allows orderings of discrimination patterns, partial or complete, across pairs of distributions. We compare discrimination against U.S. seniors (inter‐distributional inequality between seniors and non‐seniors) by ethnicity.

Suggested Citation

  • Rafael Salas & John A. Bishop & Lester A. Zeager, 2018. "Second‐Order Discrimination and Generalized Lorenz Dominance," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 64(3), pages 563-575, September.
    • Handle: RePEc:bla:revinw:v:64:y:2018:i:3:p:563-575
    DOI: 10.1111/roiw.12310
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    Cited by:

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    2. Charles Beach, 2023. "Quantile Tool Box Measures for Empirical Analysis and for Testing Distributional Comparisons in Direct Distribution-Free Fashion," Working Paper 1508, Economics Department, Queen's University.

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