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Lexicographic Choice Under Variable Capacity Constraints

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  • Battal Dogan
  • Serhat Dogan
  • Kemal Yildiz

Abstract

In several matching markets, in order to achieve diversity, agents' priorities are allowed to vary across an institution's available seats, and the institution is let to choose agents in a lexicographic fashion based on a predetermined ordering of the seats, called a (capacity-constrained) lexicographic choice rule. We provide a characterization of lexicographic choice rules and a characterization of deferred acceptance mechanisms that operate based on a lexicographic choice structure under variable capacity constraints. We discuss some implications for the Boston school choice system and show that our analysis can be helpful in applications to select among plausible choice rules.

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  • Battal Dogan & Serhat Dogan & Kemal Yildiz, 2019. "Lexicographic Choice Under Variable Capacity Constraints," Papers 1910.13237, arXiv.org.
    • Handle: RePEc:arx:papers:1910.13237
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    References listed on IDEAS

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    1. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
    2. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "On lexicographic choice," Economics Letters, Elsevier, vol. 171(C), pages 222-224.
    3. Battal Doğan & Kemal Yildiz, 2023. "Choice with Affirmative Action," Management Science, INFORMS, vol. 69(4), pages 2284-2296, April.

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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