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Design on Matroids: Diversity vs. Meritocracy

Author

Listed:
  • Isa E. Hafalir
  • Fuhito Kojima
  • M. Bumin Yenmez
  • Koji Yokote

Abstract

We provide optimal solutions to an institution that has dual goals of diversity and meritocracy when choosing from a set of applications. For example, in college admissions, administrators may want to admit a diverse class in addition to choosing students with the highest qualifications. We provide a class of choice rules that maximize merit subject to attaining a diversity level. Using this class, we find all subsets of applications on the diversity-merit Pareto frontier. In addition, we provide two novel characterizations of matroids.

Suggested Citation

  • Isa E. Hafalir & Fuhito Kojima & M. Bumin Yenmez & Koji Yokote, 2022. "Design on Matroids: Diversity vs. Meritocracy," Papers 2301.00237, arXiv.org.
    • Handle: RePEc:arx:papers:2301.00237
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    File URL: http://arxiv.org/pdf/2301.00237
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    References listed on IDEAS

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    1. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October.
    2. Federico Echenique & M. Bumin Yenmez, 2015. "How to Control Controlled School Choice," American Economic Review, American Economic Association, vol. 105(8), pages 2679-2694, August.
    3. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    4. Kojima, Fuhito & Tamura, Akihisa & Yokoo, Makoto, 2018. "Designing matching mechanisms under constraints: An approach from discrete convex analysis," Journal of Economic Theory, Elsevier, vol. 176(C), pages 803-833.
    5. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    6. Yuichiro Kamada & Fuhito Kojima, 2015. "Efficient Matching under Distributional Constraints: Theory and Applications," American Economic Review, American Economic Association, vol. 105(1), pages 67-99, January.
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    Cited by:

    1. Federico Echenique & Teddy Mekonnen & M. Bumin Yenmez, 2024. "Diversity in Choice as Majorization," Papers 2407.17589, arXiv.org.

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