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The performance of school assignment mechanisms in practice

Author

Listed:
  • de Haan, Monique
  • Gautier, Pieter A.
  • Oosterbeek, Hessel
  • van der Klaauw, Bas

Abstract

Theory points to a potential trade-off between two main school assignment mechanisms; Boston and Deferred Acceptance (DA). While DA is strategy-proof and gives a stable matching, Boston might outperform DA in terms of ex-ante efficiency. We quantify the (dis)advantages of the mechanisms by using information about actual choices under Boston complemented with survey data eliciting students' school preferences. We find that under Boston around 8% of the students apply to another school than their most-preferred school. We compare allocations resulting from Boston with DA with single tie-breaking (one central lottery; DA-STB) and multiple tie-breaking (separate lottery per school; DA-MTB). DA-STB places more students in their top-n schools, for any n, than Boston and results in higher average welfare. We find a trade-off between DA-STB and DA-MTB. DA-STB places more students in their single most-preferred school than DA-MTB, but fewer in their top-n, for n >= 2. Finally, students from disadvantaged backgrounds benefit most from a switch from Boston to any of the DA mechanisms.

Suggested Citation

  • de Haan, Monique & Gautier, Pieter A. & Oosterbeek, Hessel & van der Klaauw, Bas, 2015. "The performance of school assignment mechanisms in practice," CEPR Discussion Papers 10656, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:10656
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    References listed on IDEAS

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    1. Atila Abdulkadiro?lu & Yeon-Koo Che & Yosuke Yasuda, 2015. "Expanding "Choice" in School Choice," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 1-42, February.
    2. Caterina Calsamiglia & Guillaume Haeringer & Flip Klijn, 2010. "Constrained School Choice: An Experimental Study," American Economic Review, American Economic Association, vol. 100(4), pages 1860-1874, September.
    3. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the New York City High School Match," NBER Working Papers 14864, National Bureau of Economic Research, Inc.
    4. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, March.
    5. Atila Abdulkadiroglu & Yeon-Koo Che & Yosuke Yasuda, 2011. "Resolving Conflicting Preferences in School Choice: The "Boston Mechanism" Reconsidered," American Economic Review, American Economic Association, vol. 101(1), pages 399-410, February.
    6. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
    7. Caterina Calsamiglia & Chao Fu & Maia Güell, 2014. "Structural Estimation of a Model of School Choices: the Boston Mechanism vs. Its Alternatives," Working Papers 811, Barcelona Graduate School of Economics.
    8. Yeon-Koo Che & Fuhito Kojima, 2010. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Econometrica, Econometric Society, vol. 78(5), pages 1625-1672, September.
    9. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth, 2009. "Strategy-Proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match," American Economic Review, American Economic Association, vol. 99(5), pages 1954-1978, December.
    10. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    11. Aytek Erdil & Haluk Ergin, 2008. "What's the Matter with Tie-Breaking? Improving Efficiency in School Choice," American Economic Review, American Economic Association, vol. 98(3), pages 669-689, June.
    12. He, Yinghua, 2012. "Gaming the Boston School Choice Mechanism in Beijing," TSE Working Papers 12-345, Toulouse School of Economics (TSE).
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    Citations

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    Cited by:

    1. Ran I. Shorrer & Sandor Sovago, 2017. "Obvious Mistakes in a Strategically Simple College Admissions Environment," Tinbergen Institute Discussion Papers 17-107/V, Tinbergen Institute.
    2. repec:jmi:articl:jmi-v2i1a3 is not listed on IDEAS
    3. Fack, Gabrielle & Grenet, Julien & He, Yinghua, 2015. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice," CEPR Discussion Papers 10907, C.E.P.R. Discussion Papers.
    4. Britta Hoyer & Nadja Stroh-Maraun, 2017. "Matching Strategies of Heterogeneous Agents under Incomplete Information in a University Clearinghouse," Working Papers CIE 110, Paderborn University, CIE Center for International Economics.
    5. Fack, Gabrielle & Grenet, Julien & He, Yinghua, 2015. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," TSE Working Papers 15-607, Toulouse School of Economics (TSE), revised Sep 2017.
    6. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    7. repec:wly:emetrp:v:85:y:2017:i::p:1373-1432 is not listed on IDEAS
    8. Atila Abdulkadiroğlu & Joshua D. Angrist & Yusuke Narita & Parag A. Pathak, 2017. "Research Design Meets Market Design: Using Centralized Assignment for Impact Evaluation," Econometrica, Econometric Society, vol. 85, pages 1373-1432, September.
    9. Adam Kapor & Christopher A. Neilson & Seth D. Zimmerman, 2017. "Heterogeneous Beliefs and School Choice Mechanisms," Working Papers 612, Princeton University, Department of Economics, Industrial Relations Section..
    10. repec:spr:sochwe:v:48:y:2017:i:3:d:10.1007_s00355-016-1024-6 is not listed on IDEAS

    More about this item

    Keywords

    Boston mechanism; deferred acceptance mechanism; ex-ante efficiency; ex-post efficiency; school choice; strategic behavior;

    JEL classification:

    • C83 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Survey Methods; Sampling Methods
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • I20 - Health, Education, and Welfare - - Education - - - General

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