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When is a sequential school choice system (non-)deficient?

Author

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  • Tetsutaro Hatakeyama

    (Graduate School of Economics, Keio University)

Abstract
We study sequential assignment systems in which objects are assigned to agents in multiple stages. While such systems are prevalent in real-life school choice and college admissions, Dur and Kesten (2019) show that these systems are neither non-wasteful nor straightforward in general. To overcome this negative observation, we consider a model in which the mechanism designer chooses an allocation schedule, i.e., in which stage to allocate each object, as well as the allocation mechanisms it uses within a system. Our analysis newly reveals that (i) in general, no allocation schedules avoid wastefulness/non-straightforwardness and (ii) a nonwasteful/straightforward allocation schedule exists if and only if the preference domain is "tiered." This result supports practices in which the tiered domain naturally arises (e.g., Chinese college admissions practice). However, this also highlights the difficulty of sequential assignments in more diverse preference domains.

Suggested Citation

  • Tetsutaro Hatakeyama, 2023. "When is a sequential school choice system (non-)deficient?," Keio-IES Discussion Paper Series 2023-012, Institute for Economics Studies, Keio University.
    • Handle: RePEc:keo:dpaper:2023-012
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    File URL: https://ies.keio.ac.jp/upload/DP2023-012_EN.pdf
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    References listed on IDEAS

    as
    1. Umut Dur & Onur Kesten, 2019. "Sequential versus simultaneous assignment systems and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(2), pages 251-283, September.
    2. Manjunath, Vikram & Turhan, Bertan, 2016. "Two school systems, one district: What to do when a unified admissions process is impossible," Games and Economic Behavior, Elsevier, vol. 95(C), pages 25-40.
    3. Lars-Gunnar Svensson, 1999. "Strategy-proof allocation of indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 557-567.
    4. Takashi Akahoshi, 2014. "A necessary and sufficient condition for stable matching rules to be strategy-proof," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 683-702, October.
    5. Ekmekci, Mehmet & Yenmez, M. Bumin, 2019. "Common enrollment in school choice," Theoretical Economics, Econometric Society, vol. 14(4), November.
    6. Turhan, Bertan, 2019. "Welfare and incentives in partitioned school choice markets," Games and Economic Behavior, Elsevier, vol. 113(C), pages 199-208.
    7. Tommy Andersson & Umut Dur & Sinan Ertemel & Onur Kesten, 2024. "Sequential school choice with public and private schools," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 231-276, September.
    8. Kesten, Onur & Kurino, Morimitsu, 2019. "Strategy-proof improvements upon deferred acceptance: A maximal domain for possibility," Games and Economic Behavior, Elsevier, vol. 117(C), pages 120-143.
    9. Onur Kesten, 2010. "School Choice with Consent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(3), pages 1297-1348.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    sequential assignment system; non-wastefulness; straightforwardness; tiered domain;
    All these keywords.

    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
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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