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Sorting in public school districts under the Boston Mechanism

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  • Caterina Calsamiglia
  • Francisco Martinez-Mora
  • Antonio Miralles

Abstract

We show that the widely used Boston Mechanism (BM) fosters ability and socioeconomic segregation across otherwise identical public schools, even when schools do not have priorities over local students. Our model includes an endogenous component of school quality - determined by the peer group - and an exogenous one. If there is an exogenously worse public school, BM generates sorting of types between a priori equally good public schools: an elitist public school emerges. A richer model with some preference for closer schools and flexible residential choice does not eliminate this effect. It rather worsens the peer quality of the nonelitist school. The existence of private schools makes the best public school more elitist, while reducing the peer quality of the worst school. The main alternative assignment mechanism, Deferred Acceptance, is resilient to such sorting effects.

Suggested Citation

  • Caterina Calsamiglia & Francisco Martinez-Mora & Antonio Miralles, 2017. "Sorting in public school districts under the Boston Mechanism," Discussion Papers in Economics 17/10, Division of Economics, School of Business, University of Leicester.
    • Handle: RePEc:lec:leecon:17/10
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    References listed on IDEAS

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    1. De Fraja, Gianni & Landeras, Pedro, 2006. "Could do better: The effectiveness of incentives and competition in schools," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 189-213, January.
    2. Caroline Minter Hoxby, 2003. "School Choice and School Productivity. Could School Choice Be a Tide that Lifts All Boats?," NBER Chapters, in: The Economics of School Choice, pages 287-342, National Bureau of Economic Research, Inc.
    3. Hoxby, Caroline M., 1999. "The productivity of schools and other local public goods producers," Journal of Public Economics, Elsevier, vol. 74(1), pages 1-30, October.
    4. Arnott, Richard & Rowse, John, 1987. "Peer group effects and educational attainment," Journal of Public Economics, Elsevier, vol. 32(3), pages 287-305, April.
    5. Thomas J. Nechyba, 1999. "School Finance Induced Migration and Stratification Patterns: The Impact of Private School Vouchers," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(1), pages 5-50, January.
    6. Caroline M. Hoxby, 2000. "Does Competition among Public Schools Benefit Students and Taxpayers?," American Economic Review, American Economic Association, vol. 90(5), pages 1209-1238, December.
    7. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    8. Caroline M. Hoxby, 2003. "The Economics of School Choice," NBER Books, National Bureau of Economic Research, Inc, number hox03-1.
    9. Christopher Avery & Parag A. Pathak, 2021. "The Distributional Consequences of Public School Choice," American Economic Review, American Economic Association, vol. 111(1), pages 129-152, January.
    10. 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.
    11. Parag A. Pathak & Tayfun Sonmez, 2008. "Leveling the Playing Field: Sincere and Sophisticated Players in the Boston Mechanism," American Economic Review, American Economic Association, vol. 98(4), pages 1636-1652, September.
    12. Calsamiglia, Caterina & Güell, Maia, 2014. "The Illusion of School Choice: Empirical Evidence from Barcelona," IZA Discussion Papers 8202, Institute of Labor Economics (IZA).
    13. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    14. 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 School of Economics.
    15. Dennis Epple & Richard Romano, 2008. "Educational Vouchers And Cream Skimming," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1395-1435, November.
    16. Durlauf, Steven N, 1996. "A Theory of Persistent Income Inequality," Journal of Economic Growth, Springer, vol. 1(1), pages 75-93, March.
    17. 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.
    18. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Pauline Musset, 2012. "School Choice and Equity: Current Policies in OECD Countries and a Literature Review," OECD Education Working Papers 66, OECD Publishing.
    20. Dennis N. Epple & Richard Romano, 2003. "Neighborhood Schools, Choice, and the Distribution of Educational Benefits," NBER Chapters, in: The Economics of School Choice, pages 227-286, National Bureau of Economic Research, Inc.
    21. Charles M. Tiebout, 1956. "A Pure Theory of Local Expenditures," Journal of Political Economy, University of Chicago Press, vol. 64(5), pages 416-416.
    22. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    23. Caroline M. Hoxby, 1999. "The Productivity of Schools and Other Local Public Goods Providers," NBER Working Papers 6911, National Bureau of Economic Research, Inc.
    24. W. Bentley MacLeod & Miguel Urquiola, 2015. "Reputation and School Competition," American Economic Review, American Economic Association, vol. 105(11), pages 3471-3488, November.
    25. Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
    26. Caroline M. Hoxby, 2007. "Does Competition Among Public Schools Benefit Students and Taxpayers? Reply," American Economic Review, American Economic Association, vol. 97(5), pages 2038-2055, December.
    27. Jesse Rothstein, 2007. "Does Competition Among Public Schools Benefit Students and Taxpayers? Comment," American Economic Review, American Economic Association, vol. 97(5), pages 2026-2037, December.
    28. Gianni De Fraja & Tania Oliveira & Luisa Zanchi, 2010. "Must Try Harder: Evaluating the Role of Effort in Educational Attainment," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 577-597, August.
    29. de Bartolome, Charles A M, 1990. "Equilibrium and Inefficiency in a Community Model with Peer Group Effects," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 110-133, February.
    30. Epple, Dennis & Romano, Richard E, 1998. "Competition between Private and Public Schools, Vouchers, and Peer-Group Effects," American Economic Review, American Economic Association, vol. 88(1), pages 33-62, March.
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    Cited by:

    1. Christian Basteck & Marco Mantovani, 2023. "Aiding applicants: leveling the playing field within the immediate acceptance mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 187-220, February.
    2. Estelle Cantillon, 2017. "Broadening the market design approach to school choice," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 33(4), pages 613-634.
    3. Lucas Gortázar & David Mayor & José Montalbán, 2020. "School Choice Priorities and School Segregation: Evidence from Madrid," Studies on the Spanish Economy eee2020-06, FEDEA.
    4. Caterina Calsamiglia & Francisco Martinez-Mora & Antonio Miralles, 2020. "Cardinal Assignment Mechanisms: Money Matters More than it Should," Working Papers 1150, Barcelona School of Economics.
    5. Akbarpour, Mohammad & Kapor, Adam & Neilson, Christopher & van Dijk, Winnie & Zimmerman, Seth, 2022. "Centralized School choice with unequal outside options," Journal of Public Economics, Elsevier, vol. 210(C).
    6. van der Klaauw, Bas & Oosterbeek, Hessel & Sóvágó, Sándor, 2019. "Why are schools segregated? Evidence from the secondary-school match in Amsterdam," CEPR Discussion Papers 13462, C.E.P.R. Discussion Papers.

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    More about this item

    Keywords

    School choice; mechanism design; peer effects; local public goods;
    All these keywords.

    JEL classification:

    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • H4 - Public Economics - - Publicly Provided Goods
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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