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Promoting School Competition Through School Choice: A Market Design Approach

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Listed:
  • John William Hatfield

    (Graduate School of Business Stanford University)

  • Fuhito Kojima

    (Department of Economics Stanford University)

  • Yusuke Narita

    (Department of Economics MIT)

Abstract

We study the effect of different school choice mechanisms on schools' incentives for quality improvement. To do so, we introduce the following criterion: A mechanism respects improvements of school quality if each school becomes weakly better whenever that school improves and thereby becomes more preferred by students. We first show that no stable mechanism, or mechanism that is Pareto efficient for students (such as the Boston and top trading cycles mechanisms), respects improvements of school quality. Nevertheless, for large school districts, we demonstrate that any stable mechanism approximately respects improvements of school quality; by contrast, the Boston and top trading cycles mechanisms fail to do so. Thus a stable mechanism may provide better incentives for schools to improve themselves than the Boston and top trading cycles mechanisms.

Suggested Citation

  • John William Hatfield & Fuhito Kojima & Yusuke Narita, 2012. "Promoting School Competition Through School Choice: A Market Design Approach," Discussion Papers 12-036, Stanford Institute for Economic Policy Research.
  • Handle: RePEc:sip:dpaper:12-036
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    as
    1. Clark, Andrew E. & Milcent, Carine, 2011. "Public employment and political pressure: The case of French hospitals," Journal of Health Economics, Elsevier, vol. 30(5), pages 1103-1112.
    2. Atila Abdulkadiroğlu & Parag A. Pathak & Alvin E. Roth, 2005. "The New York City High School Match," American Economic Review, American Economic Association, vol. 95(2), pages 364-367, May.
    3. Eric Budish & Estelle Cantillon, 2012. "The Multi-unit Assignment Problem: Theory and Evidence from Course Allocation at Harvard," American Economic Review, American Economic Association, vol. 102(5), pages 2237-2271, August.
    4. Sebastian Galiani & Federico Sturzenegger, 2008. "The Impact of Privatization on the Earnings of Restructured Workers: Evidence From the Oil Industry," Journal of Labor Research, Springer, vol. 29(2), pages 162-176, June.
    5. Alcalde, Jose, 1996. "Implementation of Stable Solutions to Marriage Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 240-254, April.
    6. Parag A. Pathak, 2011. "The Mechanism Design Approach to Student Assignment," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 513-536, September.
    7. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    8. Besley, Timothy & Coate, Stephen, 1992. "Workfare versus Welfare Incentive Arguments for Work Requirements in Poverty-Alleviation Programs," American Economic Review, American Economic Association, vol. 82(1), pages 249-261, March.
    9. Alexander W. Cappelen & James Konow & Erik ?. S?rensen & Bertil Tungodden, 2013. "Just Luck: An Experimental Study of Risk-Taking and Fairness," American Economic Review, American Economic Association, vol. 103(4), pages 1398-1413, June.
    10. 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.
    11. Nick Netzer & Florian Scheuer, 2010. "Competitive Markets without Commitment," Journal of Political Economy, University of Chicago Press, vol. 118(6), pages 1079-1109.
    12. 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.
    13. Katherine Cuff, 2000. "Optimality of workfare with heterogeneous preferences," Canadian Journal of Economics, Canadian Economics Association, vol. 33(1), pages 149-174, February.
    14. Robert Moffitt, 2006. "Welfare work Requirements with Paternalistic Government Preferences," Economic Journal, Royal Economic Society, vol. 116(515), pages 441-458, November.
    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. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    17. Claudio Lucifora & Dominique Meurs, 2006. "The Public Sector Pay Gap In France, Great Britain And Italy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 52(1), pages 43-59, March.
    18. Albert Alesina & Stephan Danninger & Massimo Rostagno, 2001. "Redistribution Through Public Employment: The Case of Italy," IMF Staff Papers, Palgrave Macmillan, vol. 48(3), pages 1-2.
    19. Alcalde, Jose & Barbera, Salvador, 1994. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 417-435, May.
    20. ,, 2009. "Asymptotic ordinal inefficiency of random serial dictatorship," Theoretical Economics, Econometric Society, vol. 4(2), June.
    21. 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.
    22. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    23. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    24. Atila Abdulkadiroglu & Parag A. Pathak & Alvin E. Roth & Tayfun Sönmez, 2006. "Changing the Boston School Choice Mechanism," Boston College Working Papers in Economics 639, Boston College Department of Economics.
    25. repec:bla:econom:v:63:y:1996:i:250:p:171-89 is not listed on IDEAS
    26. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
    27. Fudenberg, Drew & Tirole, Jean, 1990. "Moral Hazard and Renegotiation in Agency Contracts," Econometrica, Econometric Society, vol. 58(6), pages 1279-1319, November.
    28. Kojima, Fuhito & Manea, Mihai, 2010. "Incentives in the probabilistic serial mechanism," Journal of Economic Theory, Elsevier, vol. 145(1), pages 106-123, January.
    29. Robin Boadway & Nicolas Marceau & Maurice Marchand, 1992. "Investment in Education and the Time Inconsistency of Redistributive Tax Policy," Working Paper 860, Economics Department, Queen's University.
    30. Rafael Di Tella & Juan Dubra & Robert MacCulloch, 2008. "A Resource Belief-Curse? Oil and Individualism," NBER Working Papers 14556, National Bureau of Economic Research, Inc.
    31. 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.
    32. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    33. Sebastián Galiani and Federico Sturzenegger, "undated". "The Impact of Privatization on the Earnings of Restructured Workers," Business School Working Papers longterm, Universidad Torcuato Di Tella.
    34. James M. Poterba & Kim S. Rueben, 1994. "The Distribution of Public Sector Wage Premia: New Evidence Using Quantile Regression Methods," NBER Working Papers 4734, National Bureau of Economic Research, Inc.
    35. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    36. repec:oup:restud:v:84:y::i:1:p:444-463. is not listed on IDEAS
    37. Haluk I. Ergin, 2002. "Efficient Resource Allocation on the Basis of Priorities," Econometrica, Econometric Society, vol. 70(6), pages 2489-2497, November.
    38. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
    39. Tayfun Sönmez & Tobias B. Switzer, 2013. "Matching With (Branch‐of‐Choice) Contracts at the United States Military Academy," Econometrica, Econometric Society, vol. 81(2), pages 451-488, March.
    40. Gueron, Judith M, 1990. "Work and Welfare: Lessons on Employment Programs," Journal of Economic Perspectives, American Economic Association, vol. 4(1), pages 79-98, Winter.
    41. Enlinson Mattos & Vitor França, 2011. "Public employment and income redistribution: causal evidence for Brazilian municipalities," Public Choice, Springer, vol. 146(1), pages 43-73, January.
    42. Konrad, Kai A., 2001. "Privacy and time-consistent optimal labor income taxation," Journal of Public Economics, Elsevier, vol. 79(3), pages 503-519, March.
    43. Kesten, Onur, 2006. "On two competing mechanisms for priority-based allocation problems," Journal of Economic Theory, Elsevier, vol. 127(1), pages 155-171, March.
    44. Blackorby, Charles & Donaldson, David, 1988. "Cash versus Kind, Self-selection, and Efficient Transfers," American Economic Review, American Economic Association, vol. 78(4), pages 691-700, September.
    45. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
    46. Eduardo M. Azevedo & Jacob D. Leshno, 2016. "A Supply and Demand Framework for Two-Sided Matching Markets," Journal of Political Economy, University of Chicago Press, vol. 124(5), pages 1235-1268.
    47. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
    48. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
    49. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
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    Citations

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    Cited by:

    1. 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.
    2. Kojima, Fuhito, 2013. "Efficient resource allocation under multi-unit demand," Games and Economic Behavior, Elsevier, vol. 82(C), pages 1-14.
    3. Claudia Herresthal, 2015. "Inferring School Quality from Rankings: The Impact of School Choice," Economics Series Working Papers 747, University of Oxford, Department of Economics.
    4. Kumano, Taro, 2013. "Strategy-proofness and stability of the Boston mechanism: An almost impossibility result," Journal of Public Economics, Elsevier, vol. 105(C), pages 23-29.
    5. Herresthal, C., 2017. "Performance-Based Rankings and School Quality," Cambridge Working Papers in Economics 1754, Faculty of Economics, University of Cambridge.
    6. Afacan, Mustafa Oǧuz, 2016. "Enrollment manipulations in school choice," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 119-125.
    7. Alexis Le Chapelain, 2014. "Market for education and student achievement [Marché de l’éducation et réussite scolaire]," SciencePo Working papers Main tel-03510563, HAL.
    8. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    9. Mustafa Afacan, 2014. "Fictitious students creation incentives in school choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 493-514, August.
    10. repec:spo:wpmain:info:hdl:2441/1jgbspo1909q48svne93o55rca is not listed on IDEAS
    11. MacLeod, W. Bentley & Urquiola, Miguel, 2012. "Anti-Lemons: School Reputation, Relative Diversity, and Educational Quality," IZA Discussion Papers 6805, Institute of Labor Economics (IZA).
    12. Alexis Le Chapelain, 2014. "Market for education and student achievement [Marché de l’éducation et réussite scolaire]," SciencePo Working papers tel-03510563, HAL.
    13. repec:hal:spmain:info:hdl:2441/1jgbspo1909q48svne93o55rca is not listed on IDEAS
    14. 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.

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    More about this item

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • H75 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Government: Health, Education, and Welfare
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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