IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v130y2021icp384-399.html
   My bibliography  Save this article

The effects of student composition on teachers' effort and students' performance: Implications for tracking, school choice, and affirmative action

Author

Listed:
  • Kamali Shahdadi, Behrang

Abstract

The effect of sorting students based on their academic performances depends not only on direct peer effects but also on indirect peer effects through teachers' efforts. Standard assumptions in the literature are insufficient to determine the effect of sorting on the performances of students and so are silent on the effect of policies such as tracking, implementing school choice, and voucher programs. We show that the effect of such policies depends on the curvature of teachers' marginal utility of effort. We characterize conditions under which sorting increases (decreases) the total effort of teachers and the average performance of students.

Suggested Citation

  • Kamali Shahdadi, Behrang, 2021. "The effects of student composition on teachers' effort and students' performance: Implications for tracking, school choice, and affirmative action," Games and Economic Behavior, Elsevier, vol. 130(C), pages 384-399.
  • Handle: RePEc:eee:gamebe:v:130:y:2021:i:c:p:384-399
    DOI: 10.1016/j.geb.2021.08.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825621001202
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2021.08.013?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sacerdote, Bruce, 2011. "Peer Effects in Education: How Might They Work, How Big Are They and How Much Do We Know Thus Far?," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 3, chapter 4, pages 249-277, Elsevier.
    2. Epple, Dennis & Newlon, Elizabeth & Romano, Richard, 2002. "Ability tracking, school competition, and the distribution of educational benefits," Journal of Public Economics, Elsevier, vol. 83(1), pages 1-48, January.
    3. Behrang Kamali Shahdadi, 2018. "Matching with Moral Hazard: Assigning Attorneys to Poor Defendants," American Economic Journal: Microeconomics, American Economic Association, vol. 10(3), pages 1-33, August.
    4. 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.
    5. Chakrabarti, Rajashri, 2013. "Do vouchers lead to sorting under random private school selection? Evidence from the Milwaukee voucher program," Economics of Education Review, Elsevier, vol. 34(C), pages 191-218.
    6. MacLeod, W. Bentley & Urquiola, Miguel, 2012. "Anti-Lemons: School Reputation, Relative Diversity, and Educational Quality," IZA Discussion Papers 6805, Institute of Labor Economics (IZA).
    7. Thiele, Henrik & Wambach, Achim, 1999. "Wealth Effects in the Principal Agent Model," Journal of Economic Theory, Elsevier, vol. 89(2), pages 247-260, December.
    8. Lisa Barrow & Cecilia Elena Rouse, 2008. "School vouchers and student achievement: recent evidence, remaining questions," Working Paper Series WP-08-08, Federal Reserve Bank of Chicago.
    9. Edlin, Aaron S. & Shannon, Chris, 1998. "Strict Monotonicity in Comparative Statics," Journal of Economic Theory, Elsevier, vol. 81(1), pages 201-219, July.
    10. Esther Duflo & Pascaline Dupas & Michael Kremer, 2011. "Peer Effects, Teacher Incentives, and the Impact of Tracking: Evidence from a Randomized Evaluation in Kenya," American Economic Review, American Economic Association, vol. 101(5), pages 1739-1774, August.
    11. repec:pri:edures:28ers.pdf is not listed on IDEAS
    12. Michela Tincani, 2014. "School Vouchers and the Joint Sorting of Students and Teachers," Working Papers 2014-012, Human Capital and Economic Opportunity Working Group.
    13. 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.
    14. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    15. Henry M. Levin, 1998. "Educational vouchers: Effectiveness, choice, and costs," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 17(3), pages 373-392.
    16. Bruce Sacerdote, 2001. "Peer Effects with Random Assignment: Results for Dartmouth Roommates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 681-704.
    17. Todd, Petra E. & Wolpin, Kenneth I., 2012. "Estimating a Coordination Game in the Classroom," Working Papers 14-017, Rice University, Department of Economics.
    18. Koedel, Cory & Mihaly, Kata & Rockoff, Jonah E., 2015. "Value-added modeling: A review," Economics of Education Review, Elsevier, vol. 47(C), pages 180-195.
    19. Hsieh, Chang-Tai & Urquiola, Miguel, 2006. "The effects of generalized school choice on achievement and stratification: Evidence from Chile's voucher program," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1477-1503, September.
    20. Foster, Gigi, 2006. "It's not your peers, and it's not your friends: Some progress toward understanding the educational peer effect mechanism," Journal of Public Economics, Elsevier, vol. 90(8-9), pages 1455-1475, September.
    21. Roland G. Fryer, 2013. "Teacher Incentives and Student Achievement: Evidence from New York City Public Schools," Journal of Labor Economics, University of Chicago Press, vol. 31(2), pages 373-407.
    22. Chade, Hector & Vera de Serio, Virginia N., 2014. "Wealth effects and agency costs," Games and Economic Behavior, Elsevier, vol. 86(C), pages 1-11.
    23. Victor Lavy, 2002. "Evaluating the Effect of Teachers' Group Performance Incentives on Pupil Achievement," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1286-1317, December.
    24. Timothy Besley & Maitreesh Ghatak, 2006. "Sorting with Motivated Agents: Implications for School Competition and Teacher Incentives," Journal of the European Economic Association, MIT Press, vol. 4(2-3), pages 404-414, 04-05.
    25. 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.
    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. Behrang Kamali-Shahdadi, 2016. "Sorting and Peer Effects," PIER Working Paper Archive 16-002, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 08 Feb 2016.
    2. Song, Yang, 2019. "Sorting, school performance and quality: Evidence from China," Journal of Comparative Economics, Elsevier, vol. 47(1), pages 238-261.
    3. repec:hal:spmain:info:hdl:2441/1jgbspo1909q48svne93o55rca is not listed on IDEAS
    4. Alexis Le Chapelain, 2014. "Market for Education and Student Achievement," Sciences Po publications info:hdl:2441/1jgbspo1909, Sciences Po.
    5. Silvia Mendolia & Alfredo R Paloyo & Ian Walker, 2018. "Heterogeneous effects of high school peers on educational outcomes," Oxford Economic Papers, Oxford University Press, vol. 70(3), pages 613-634.
    6. de Gendre, Alexandra & Salamanca, Nicolás, 2020. "On the Mechanisms of Ability Peer Effects," IZA Discussion Papers 13938, Institute of Labor Economics (IZA).
    7. Michela Tincani, 2014. "School Vouchers and the Joint Sorting of Students and Teachers," Working Papers 2014-012, Human Capital and Economic Opportunity Working Group.
    8. Heather Antecol & Ozkan Eren & Serkan Ozbeklik, 2016. "Peer Effects in Disadvantaged Primary Schools: Evidence from a Randomized Experiment," Journal of Human Resources, University of Wisconsin Press, vol. 51(1), pages 95-132.
    9. Dennis Epple & Richard Romano & Sinan Sarpça & Holger Sieg & Melanie Zaber, 2019. "Market power and price discrimination in the US market for higher education," RAND Journal of Economics, RAND Corporation, vol. 50(1), pages 201-225, March.
    10. Li, Tao & Han, Li & Zhang, Linxiu & Rozelle, Scott, 2014. "Encouraging classroom peer interactions: Evidence from Chinese migrant schools," Journal of Public Economics, Elsevier, vol. 111(C), pages 29-45.
    11. Coveney, Max & Oosterveen, Matthijs, 2021. "What drives ability peer effects?," European Economic Review, Elsevier, vol. 136(C).
    12. Vincenzo Andrietti & Xuejuan Su, 2019. "Education curriculum and student achievement: theory and evidence," Education Economics, Taylor & Francis Journals, vol. 27(1), pages 4-19, January.
    13. Michael Kremer & Dan Levy, 2008. "Peer Effects and Alcohol Use among College Students," Journal of Economic Perspectives, American Economic Association, vol. 22(3), pages 189-206, Summer.
    14. Alexis Le Chapelain, 2014. "Market for education and student achievement [Marché de l’éducation et réussite scolaire]," SciencePo Working papers tel-03510563, HAL.
    15. W. Bentley MacLeod & Miguel Urquiola, 2009. "Anti-Lemons: School Reputation and Educational Quality," NBER Working Papers 15112, National Bureau of Economic Research, Inc.
    16. Zhang, Hongliang, 2016. "The role of testing noise in the estimation of achievement-based peer effects," Economics of Education Review, Elsevier, vol. 54(C), pages 113-123.
    17. MacLeod, W. Bentley & Urquiola, Miguel, 2012. "Anti-Lemons: School Reputation, Relative Diversity, and Educational Quality," IZA Discussion Papers 6805, Institute of Labor Economics (IZA).
    18. Estrada, Ricardo, 2022. "The effect of the demand for elite schools on stratification," Economics Letters, Elsevier, vol. 215(C).
    19. Matias Berthelon & Eric Bettinger & Diana I. Kruger & Alejandro Montecinos-Pearce, 2019. "The Structure of Peers: The Impact of Peer Networks on Academic Achievement," Research in Higher Education, Springer;Association for Institutional Research, vol. 60(7), pages 931-959, November.
    20. Angela Granger-Serrano & Alexander Villarraga-Orjuela, 2021. "Peer Effects on First-Year University Students’ Results: The Role of Classmates’ Academic Performance and Socioeconomic Status," Mathematics, MDPI, vol. 9(23), pages 1-26, December.
    21. Nicolás de Roux & Evan Riehl, 2019. "Isolating Peer Effects in the Returns to College Selectivity," Documentos CEDE 17413, Universidad de los Andes, Facultad de Economía, CEDE.

    More about this item

    Keywords

    Indirect peer effects; Tracking; Lattice structure; Matching; Supermodular comparative statics;
    All these keywords.

    JEL classification:

    • I21 - Health, Education, and Welfare - - Education - - - Analysis of Education
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

    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:eee:gamebe:v:130:y:2021:i:c:p:384-399. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.