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Market Design for Distributional Objectives in (Re)assignment: An Application to Improve the Distribution of Teachers in Schools

Author

Listed:
  • Julien Combe

    (École Polytechnique)

  • Umut Mert Dur

    (North Carolina State University)

  • Olivier Tercieux

    (Paris School of Economics)

  • Camille Terrier

    (University of Lausanne)

  • M. Utku Ünver

    (Boston College)

Abstract

Centralized (re)assignment of workers to jobs is increasingly common in public and private sectors. These markets often suffer from distributional problems. To alleviate these, we propose two new strategy-proof (re)assignment mechanisms. While they both improve individual and distributional welfare over the status quo, one achieves two-sided efficiency and the other achieves a novel fairness property. We quantify the performance of these mechanisms in teacher (re)assignment where unequal distribution of experienced teachers in schools is a widespread concern. Using French data, we show that our efficient mechanism reduces the teacher experience gap across regions more effectively than benchmarks, including the current mechanism, while also effectively increasing teacher welfare. As an interesting finding, while our fairness-based mechanism is very effective in reducing teacher experience gap, it prevents the mobility of tenured teachers, which is a detrimental teacher welfare indicator.

Suggested Citation

  • Julien Combe & Umut Mert Dur & Olivier Tercieux & Camille Terrier & M. Utku Ünver, 2022. "Market Design for Distributional Objectives in (Re)assignment: An Application to Improve the Distribution of Teachers in Schools," Boston College Working Papers in Economics 1050, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:1050
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    References listed on IDEAS

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    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. Matteo Bobba & Tim Ederer & Gianmarco León-Ciliotta & Christopher A. Neilson & Marco Nieddu, 2021. "Teacher compensation and structural inequality: Evidence from centralized teacher school choice in Perú," Economics Working Papers 1788, Department of Economics and Business, Universitat Pompeu Fabra.
    3. Eric A. Hanushek & EJohn F. Kain & Steven G. Rivkin, 2004. "Why Public Schools Lose Teachers," Journal of Human Resources, University of Wisconsin Press, vol. 39(2).
    4. 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.
    5. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Kidney Exchange," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 457-488.
    6. 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.
    7. Jonah E. Rockoff, 2004. "The Impact of Individual Teachers on Student Achievement: Evidence from Panel Data," American Economic Review, American Economic Association, vol. 94(2), pages 247-252, May.
    8. Barbara Biasi, 2021. "The Labor Market for Teachers under Different Pay Schemes," American Economic Journal: Economic Policy, American Economic Association, vol. 13(3), pages 63-102, August.
    9. Caterina Calsamiglia & Chao Fu & Maia Güell, 2020. "Structural Estimation of a Model of School Choices: The Boston Mechanism versus Its Alternatives," Journal of Political Economy, University of Chicago Press, vol. 128(2), pages 642-680.
    10. Hafalir, Isa E. & Kojima, Fuhito & Yenmez, M. Bumin, 2022. "Interdistrict school choice: A theory of student assignment," Journal of Economic Theory, Elsevier, vol. 201(C).
    11. Barbara Biasi & Chao Fu & John Stromme, 2021. "Equilibrium in the Market for Public School Teachers: District Wage Strategies and Teacher Comparative Advantage," NBER Working Papers 28530, National Bureau of Economic Research, Inc.
    12. Akyol, Pelin & Krishna, Kala, 2017. "Preferences, selection, and value added: A structural approach," European Economic Review, Elsevier, vol. 91(C), pages 89-117.
    13. Chen, Li & Sebastián Pereyra, Juan, 2019. "Self-selection in school choice," Games and Economic Behavior, Elsevier, vol. 117(C), pages 59-81.
    14. Bonesronning, Hans & Falch, Torberg & Strom, Bjarne, 2005. "Teacher sorting, teacher quality, and student composition," European Economic Review, Elsevier, vol. 49(2), pages 457-483, February.
    15. Rebecca Allen & Simon Burgess & Jennifer Mayo, 2018. "The teacher labour market, teacher turnover and disadvantaged schools: new evidence for England," Education Economics, Taylor & Francis Journals, vol. 26(1), pages 4-23, January.
    16. Bocar Ba & Patrick Bayer & Nayoung Rim & Roman Rivera & Modibo Sidibé, 2021. "Police Officer Assignment and Neighborhood Crime," NBER Working Papers 29243, National Bureau of Economic Research, Inc.
    17. Pereyra, Juan Sebastián, 2013. "A dynamic school choice model," Games and Economic Behavior, Elsevier, vol. 80(C), pages 100-114.
    18. Yuichiro Kamada & Fuhito Kojima, 2015. "Efficient Matching under Distributional Constraints: Theory and Applications," American Economic Review, American Economic Association, vol. 105(1), pages 67-99, January.
    19. Raj Chetty & John N. Friedman & Jonah E. Rockoff, 2014. "Measuring the Impacts of Teachers I: Evaluating Bias in Teacher Value-Added Estimates," American Economic Review, American Economic Association, vol. 104(9), pages 2593-2632, September.
    20. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September.
    21. Katarína Cechlárová & Tamás Fleiner & David Manlove & Iain McBride & Eva Potpinková, 2015. "Modelling practical placement of trainee teachers to schools," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 547-562, September.
    22. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    23. 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.
    24. Torberg Falch, 2010. "The Elasticity of Labor Supply at the Establishment Level," Journal of Labor Economics, University of Chicago Press, vol. 28(2), pages 237-266, April.
    25. Marek Pycia, 2012. "Stability and Preference Alignment in Matching and Coalition Formation," Econometrica, Econometric Society, vol. 80(1), pages 323-362, January.
    26. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    27. Tayfun Sönmez & M. Bumin Yenmez, 2019. "Constitutional Implementation of Vertical and Horizontal Reservations in India: A Unified Mechanism for Civil Service Allocation and College Admissions," Boston College Working Papers in Economics 978, Boston College Department of Economics.
    28. Abdulkadiroglu, Atila & Sonmez, Tayfun, 1999. "House Allocation with Existing Tenants," Journal of Economic Theory, Elsevier, vol. 88(2), pages 233-260, October.
    29. Barbieri, Gianna & Rossetti, Claudio & Sestito, Paolo, 2011. "The determinants of teacher mobility: Evidence using Italian teachers’ transfer applications," Economics of Education Review, Elsevier, vol. 30(6), pages 1430-1444.
    30. C. Kirabo Jackson, 2009. "Student Demographics, Teacher Sorting, and Teacher Quality: Evidence from the End of School Desegregation," Journal of Labor Economics, University of Chicago Press, vol. 27(2), pages 213-256, April.
    31. Kojima, Fuhito & Tamura, Akihisa & Yokoo, Makoto, 2018. "Designing matching mechanisms under constraints: An approach from discrete convex analysis," Journal of Economic Theory, Elsevier, vol. 176(C), pages 803-833.
    32. Atila Abdulkadiroğlu & Nikhil Agarwal & Parag A. Pathak, 2017. "The Welfare Effects of Coordinated Assignment: Evidence from the New York City High School Match," American Economic Review, American Economic Association, vol. 107(12), pages 3635-3689, December.
    33. Michela M. Tincani, 2021. "Teacher labor markets, school vouchers, and student cognitive achievement: Evidence from Chile," Quantitative Economics, Econometric Society, vol. 12(1), pages 173-216, January.
    34. Rees-Jones, Alex, 2018. "Suboptimal behavior in strategy-proof mechanisms: Evidence from the residency match," Games and Economic Behavior, Elsevier, vol. 108(C), pages 317-330.
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    3. Kirill Rudov, 2024. "Fragile Stable Matchings," Papers 2403.12183, arXiv.org.
    4. Afacan, Mustafa Oǧuz, 2024. "Non-vetoed matching with status quo," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    5. Afacan, Mustafa Oğuz, 2023. "A characterization of Top Trading Cycles under trading networks," Economics Letters, Elsevier, vol. 233(C).

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    More about this item

    Keywords

    Matching Theory; Market Design; Priority Design; Teacher Reassignment; Status- quo Improvement; Fairness; Efficiency; Distributional Welfare Measures;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education

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