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Diversity as Majorization

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  • Federico Echenique
  • Teddy Mekonnen
  • M. Bumin Yenmez

Abstract

How should institutions compare group diversity, and which group should they select when they value diversity and merit? We take a target-based approach that evaluates the entire group composition without treating any type as intrinsically diversity-enhancing. Because different diversity indices may rank groups differently, we instead adapt majorization to construct an ordinal diversity preorder. We show that its maximally diverse selections are exactly those maximizing every index in a broad class. This characterization yields a reserve-and-quota policy that selects a maximally diverse group and, among such groups, the highest-merit agents. Any alternative is less diverse, less meritorious, or both.

Suggested Citation

  • Federico Echenique & Teddy Mekonnen & M. Bumin Yenmez, 2026. "Diversity as Majorization," Papers 2608.11497, arXiv.org.
    • Handle: RePEc:arx:papers:2608.11497
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    File URL: https://arxiv.org/pdf/2608.11497
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