IDEAS home Printed from https://ideas.repec.org/p/bge/wpaper/811.html
   My bibliography  Save this paper

Structural Estimation of a Model of School Choices: the Boston Mechanism vs. Its Alternatives

Author

Listed:
  • Caterina Calsamiglia
  • Chao Fu
  • Maia Güell

Abstract

An important debate centers on what procedure should be used to allocate students across public schools. We contribute to this debate by developing and estimating a model of school choices by households under one of the most popular procedures known as the Boston mechanism (BM). We recover the joint distribution of household preferences and sophistication types using administrative data from Barcelona. Our counterfactual policy analyses show that a change from BM to the Gale-Shapley student deferred acceptance mechanism would create more losers than winners, while a change from BM to the top trading cycles mechanism has the opposite effect.

Suggested Citation

  • 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.
  • Handle: RePEc:bge:wpaper:811
    as

    Download full text from publisher

    File URL: https://www.barcelonagse.eu/sites/default/files/working_paper_pdfs/811.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Pais, Joana & Pintér, Ágnes, 2008. "School choice and information: An experimental study on matching mechanisms," Games and Economic Behavior, Elsevier, vol. 64(1), pages 303-328, September.
    2. Stephen Machin & Kjell G. Salvanes, 2016. "Valuing School Quality via a School Choice Reform," Scandinavian Journal of Economics, Wiley Blackwell, vol. 118(1), pages 3-24, January.
    3. 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.
    4. Justine S. Hastings & Jeffrey M. Weinstein, 2008. "Information, School Choice, and Academic Achievement: Evidence from Two Experiments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(4), pages 1373-1414.
    5. Caroline Minter Hoxby, 2003. "Introduction to "The Economics of School Choice"," NBER Chapters, in: The Economics of School Choice, pages 1-22, National Bureau of Economic Research, Inc.
    6. Chao Fu, 2014. "Equilibrium Tuition, Applications, Admissions, and Enrollment in the College Market," Journal of Political Economy, University of Chicago Press, vol. 122(2), pages 225-281.
    7. James J. Heckman & Stefano Mosso, 2014. "The Economics of Human Development and Social Mobility," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 689-733, August.
    8. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    9. Jeffrey Smith & Jeremy Lise & Shannon N. Seitz, 2003. "Equilibrium Policy Experiments And The Evaluation Of Social Programs," Working Paper 1012, Economics Department, Queen's University.
    10. Nirav Mehta, 2017. "Competition In Public School Districts: Charter School Entry, Student Sorting, And School Input Determination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 58(4), pages 1089-1116, November.
    11. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    12. Jesse M. Rothstein, 2006. "Good Principals or Good Peers? Parental Valuation of School Characteristics, Tiebout Equilibrium, and the Incentive Effects of Competition among Jurisdictions," American Economic Review, American Economic Association, vol. 96(4), pages 1333-1350, September.
    13. Simon Burgess & Ellen Greaves & Anna Vignoles & Deborah Wilson, 2009. "Parental choice of primary school in England: what ‘type’ of school do parents choose?," The Centre for Market and Public Organisation 09/224, The Centre for Market and Public Organisation, University of Bristol, UK.
    14. Keane, Michael & Moffitt, Robert, 1998. "A Structural Model of Multiple Welfare Program Participation and Labor Supply," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 553-589, August.
    15. Parag A. Pathak & Tayfun Sönmez, 2013. "School Admissions Reform in Chicago and England: Comparing Mechanisms by Their Vulnerability to Manipulation," American Economic Review, American Economic Association, vol. 103(1), pages 80-106, February.
    16. 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.
    17. Caroline M. Hoxby, 2003. "The Economics of School Choice," NBER Books, National Bureau of Economic Research, Inc, number hox03-1, January.
    18. Troyan, Peter, 2012. "Comparing school choice mechanisms by interim and ex-ante welfare," Games and Economic Behavior, Elsevier, vol. 75(2), pages 936-947.
    19. Keane, Michael P. & Todd, Petra E. & Wolpin, Kenneth I., 2011. "The Structural Estimation of Behavioral Models: Discrete Choice Dynamic Programming Methods and Applications," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 4, pages 331-461, Elsevier.
    20. 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.
    21. Stephen Gibbons & Stephen Machin, 2008. "Valuing school quality, better transport, and lower crime: evidence from house prices," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 24(1), pages 99-119, spring.
    22. Calsamiglia, Caterina & Güell, Maia, 2014. "The Illusion of School Choice: Empirical Evidence from Barcelona," IZA Discussion Papers 8202, Institute of Labor Economics (IZA).
    23. Patrick Bajari & Ali Hortacsu, 2005. "Are Structural Estimates of Auction Models Reasonable? Evidence from Experimental Data," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 703-741, August.
    24. 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.
    25. Peter Arcidiacono, 2005. "Affirmative Action in Higher Education: How Do Admission and Financial Aid Rules Affect Future Earnings?," Econometrica, Econometric Society, vol. 73(5), pages 1477-1524, September.
    26. Chen, Yan & Sonmez, Tayfun, 2006. "School choice: an experimental study," Journal of Economic Theory, Elsevier, vol. 127(1), pages 202-231, March.
    27. Michael P. Keane & Kenneth I. Wolpin, 2007. "Exploring The Usefulness Of A Nonrandom Holdout Sample For Model Validation: Welfare Effects On Female Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1351-1378, November.
    28. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    29. 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.
    30. Atila Abdulkadiroğlu & Joshua D. Angrist & Susan M. Dynarski & Thomas J. Kane & Parag A. Pathak, 2011. "Accountability and Flexibility in Public Schools: Evidence from Boston's Charters And Pilots," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 699-748.
    31. Clayton Featherstone & Muriel Niederle, 2008. "Ex Ante Efficiency in School Choice Mechanisms: An Experimental Investigation," NBER Working Papers 14618, National Bureau of Economic Research, Inc.
    32. 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.
    33. Kenneth I. Wolpin & Petra E. Todd, 2006. "Assessing the Impact of a School Subsidy Program in Mexico: Using a Social Experiment to Validate a Dynamic Behavioral Model of Child Schooling and Fertility," American Economic Review, American Economic Association, vol. 96(5), pages 1384-1417, December.
    34. Matzkin, Rosa L., 1993. "Nonparametric identification and estimation of polychotomous choice models," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 137-168, July.
    35. Hoxby, Caroline M. (ed.), 2003. "The Economics of School Choice," National Bureau of Economic Research Books, University of Chicago Press, number 9780226355337.
    36. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Levine's Bibliography 122247000000001022, UCLA Department of Economics.
    37. Nikhil Agarwal & Paulo Somaini, 2018. "Demand Analysis Using Strategic Reports: An Application to a School Choice Mechanism," Econometrica, Econometric Society, vol. 86(2), pages 391-444, March.
    38. Scott Duke Kominers & Tayfun Sönmez, 2012. "Designing for Diversity: Matching with Slot-Specific Priorities," Boston College Working Papers in Economics 806, Boston College Department of Economics.
    39. Rothstein, Jesse M, 2006. "Good Principals or Good Peers? Parental Valuation of School Characteristics, Tiebout Equilibrium, and the Incentive Effects of Competition among Jurisdictions," Department of Economics, Working Paper Series qt9kz4s6v9, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    40. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2005. "The Boston Public School Match," American Economic Review, American Economic Association, vol. 95(2), pages 368-371, May.
    41. Umut M. Dur & Scott Duke Kominers & Parag A. Pathak & Tayfun Sönmez, 2013. "The Demise of Walk Zones in Boston: Priorities vs. Precedence in School Choice," NBER Working Papers 18981, National Bureau of Economic Research, Inc.
    42. Atila Abdulkadiroğlu & Nikhil Agarwal & Parag A. Pathak, 2015. "The Welfare Effects of Coordinated Assignment: Evidence from the NYC HS Match," NBER Working Papers 21046, National Bureau of Economic Research, Inc.
    43. David J. Deming & Justine S. Hastings & Thomas J. Kane & Douglas O. Staiger, 2014. "School Choice, School Quality, and Postsecondary Attainment," American Economic Review, American Economic Association, vol. 104(3), pages 991-1013, March.
    44. He, Yinghua, 2012. "Gaming the Boston School Choice Mechanism in Beijing," TSE Working Papers 12-345, Toulouse School of Economics (TSE).
    45. Parag A. Pathak & Peng Shi, 2014. "Demand Modeling, Forecasting, and Counterfactuals, Part I," NBER Working Papers 19859, National Bureau of Economic Research, Inc.
    46. Robin L. Lumsdaine & James H. Stock & David A. Wise, 1992. "Pension Plan Provisions and Retirement: Men & Women, Medicare, and Models," NBER Working Papers 4201, National Bureau of Economic Research, Inc.
    47. Robert Jensen, 2010. "The (Perceived) Returns to Education and the Demand for Schooling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(2), pages 515-548.
    48. John Ries & Tsur Somerville, 2010. "School Quality and Residential Property Values: Evidence from Vancouver Rezoning," The Review of Economics and Statistics, MIT Press, vol. 92(4), pages 928-944, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Güell, Maia & Calsamiglia, Caterina, 2014. "The Illusion of School Choice: Empirical Evidence from Barcelona," CEPR Discussion Papers 10011, C.E.P.R. Discussion Papers.
    2. Nikhil Agarwal & Paulo Somaini, 2018. "Demand Analysis Using Strategic Reports: An Application to a School Choice Mechanism," Econometrica, Econometric Society, vol. 86(2), pages 391-444, March.
    3. Chen, Yan & Jiang, Ming & Kesten, Onur & Robin, Stéphane & Zhu, Min, 2018. "Matching in the large: An experimental study," Games and Economic Behavior, Elsevier, vol. 110(C), pages 295-317.
    4. Pathak, Parag A. & Shi, Peng, 2021. "How well do structural demand models work? Counterfactual predictions in school choice," Journal of Econometrics, Elsevier, vol. 222(1), pages 161-195.
    5. Harless, Patrick, 2014. "A School Choice Compromise: Between Immediate and Deferred Acceptance," MPRA Paper 61417, University Library of Munich, Germany.
    6. Atila Abdulkadiroğlu & Nikhil Agarwal & Parag A. Pathak, 2015. "The Welfare Effects of Coordinated Assignment: Evidence from the NYC HS Match," NBER Working Papers 21046, National Bureau of Economic Research, Inc.
    7. Basteck, Christian & Klaus, Bettina & Kübler, Dorothea, 2021. "How lotteries in school choice help to level the playing field," Games and Economic Behavior, Elsevier, vol. 129(C), pages 198-237.
    8. Gabrielle Fack & Julien Grenet & Yinghua He, 2019. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," American Economic Review, American Economic Association, vol. 109(4), pages 1486-1529, April.
    9. Caterina Calsamiglia & Francisco Martínez-Mora & Antonio Miralles, 2021. "School Choice Design, Risk Aversion and Cardinal Segregation," The Economic Journal, Royal Economic Society, vol. 131(635), pages 1081-1104.
    10. Ha, Wei & Kang, Le & Song, Yang, 2020. "College matching mechanisms and matching stability: Evidence from a natural experiment in China," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 206-226.
    11. 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.
    12. Fuhito Kojima & M. Ünver, 2014. "The “Boston” school-choice mechanism: an axiomatic approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 515-544, April.
    13. Tong Wang & Congyi Zhou, 2020. "High school admission reform in China: a welfare analysis," Review of Economic Design, Springer;Society for Economic Design, vol. 24(3), pages 215-269, December.
    14. Yan Chen & YingHua He, 2022. "Information acquisition and provision in school choice: a theoretical investigation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 293-327, July.
    15. Abdulkadiroglu, Atila & Andersson, Tommy, 2022. "School Choice," Working Papers 2022:4, Lund University, Department of Economics.
    16. 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.
    17. Li, Mengling, 2020. "Ties matter: Improving efficiency in course allocation by allowing ties," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 354-384.
    18. Featherstone, Clayton R. & Niederle, Muriel, 2016. "Boston versus deferred acceptance in an interim setting: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 100(C), pages 353-375.
    19. Kesten, Onur & Unver, Utku, 2015. "A theory of school choice lotteries," Theoretical Economics, Econometric Society, vol. 10(2), May.
    20. Min Zhu, 2013. "College Admissions in China : A Mechanism Design Perspective," Working Papers 1327, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.

    More about this item

    Keywords

    school choice; Boston mechanism; Gale-Shapley mechanism; Top Trading Cycles mechanism; priorities;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • I24 - Health, Education, and Welfare - - Education - - - Education and Inequality
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bge:wpaper:811. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Bruno Guallar (email available below). General contact details of provider: https://edirc.repec.org/data/bargses.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.