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Adversarial Selection

Author

Listed:
  • Alma Cohen
  • Alon Klement
  • Zvika Neeman
  • Eilon Solan

Abstract

In many institutional settings, $k$ items are selected with the goal of representing the underlying distribution of claims, opinions, or characteristics in a large population. We study environments with two adversarial parties whose preferences over the selected items are commonly known and opposed. We propose the Quantile Mechanism: one party partitions the population into $k$ disjoint subsets, and the other selects one item from each subset. We show that this procedure is optimally representative among all feasible mechanisms, and illustrate its use in jury selection, multi-district litigation, and committee formation.

Suggested Citation

  • Alma Cohen & Alon Klement & Zvika Neeman & Eilon Solan, 2026. "Adversarial Selection," Papers 2603.24727, arXiv.org.
    • Handle: RePEc:arx:papers:2603.24727
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    File URL: http://arxiv.org/pdf/2603.24727
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    References listed on IDEAS

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    1. Shari Seidman Diamond & Destiny Peery & Francis J. Dolan & Emily Dolan, 2009. "Achieving Diversity on the Jury: Jury Size and the Peremptory Challenge," Journal of Empirical Legal Studies, John Wiley & Sons, vol. 6(3), pages 425-449, September.
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