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Sorting and Grading

Author

Listed:
  • Jacopo Bizzotto
  • Adrien Vigier

Abstract

We propose a framework to assess how to optimally sort and grade students of heterogenous ability. Potential employers face uncertainty regarding an individual's productive value. Knowing which school an individual went to is useful for two reasons: firstly, average student ability may differ across schools; secondly, different schools may use different grading rules and thus provide varying incentives to exert effort. An optimal school system exhibits coarse stratification with respect to ability, and more lenient grading at the top-tier schools than at the bottom-tier schools. Our paper contributes to the ongoing policy debate on tracking in secondary schools.

Suggested Citation

  • Jacopo Bizzotto & Adrien Vigier, 2022. "Sorting and Grading," Papers 2208.10894, arXiv.org, revised Feb 2024.
    • Handle: RePEc:arx:papers:2208.10894
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    References listed on IDEAS

    as
    1. Hao Li & Xianwen Shi, 2017. "Discriminatory Information Disclosure," American Economic Review, American Economic Association, vol. 107(11), pages 3363-3385, November.
    2. Dirk Bergemann & Alessandro Bonatti & Alex Smolin, 2018. "The Design and Price of Information," American Economic Review, American Economic Association, vol. 108(1), pages 1-48, January.
    3. ,, 2009. "Monopolistic group design with peer effects," Theoretical Economics, Econometric Society, vol. 4(1), March.
    4. Hanushek, Eric A. & Woessmann, Ludger, 2011. "The Economics of International Differences in Educational Achievement," 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 2, pages 89-200, Elsevier.
    5. Eric A. Hanushek & Ludger Wössmann, 2006. "Does Educational Tracking Affect Performance and Inequality? Differences- in-Differences Evidence Across Countries," Economic Journal, Royal Economic Society, vol. 116(510), pages 63-76, March.
    6. Lawrence E. Blume & William A. Brock & Steven N. Durlauf & Rajshri Jayaraman, 2015. "Linear Social Interactions Models," Journal of Political Economy, University of Chicago Press, vol. 123(2), pages 444-496.
    7. Raphael Boleslavsky & Christopher Cotton, 2015. "Grading Standards and Education Quality," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 248-279, May.
    8. Casey Rothschild & Florian Scheuer, 2013. "Redistributive Taxation in the Roy Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(2), pages 623-668.
    9. Yamashita, Takuro & Sarkisian, Roberto, 2021. "Large mechanism design with moment-based allocation externality," TSE Working Papers 21-1241, Toulouse School of Economics (TSE).
    10. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 705-731.
    11. Nina Guyon & Eric Maurin & Sandra McNally, 2012. "The Effect of Tracking Students by Ability into Different Schools: A Natural Experiment," Journal of Human Resources, University of Wisconsin Press, vol. 47(3), pages 684-721.
    12. 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.
    13. Andriy Zapechelnyuk, 2020. "Optimal Quality Certification," American Economic Review: Insights, American Economic Association, vol. 2(2), pages 161-176, June.
    14. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1996. "How (Not) to Sell Nuclear Weapons," American Economic Review, American Economic Association, vol. 86(4), pages 814-829, September.
    15. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    16. Betts, Julian R, 1998. "The Impact of Educational Standards on the Level and Distribution of Earnings," American Economic Review, American Economic Association, vol. 88(1), pages 266-275, March.
    17. William Chan & Li Hao & Wing Suen, 2007. "A Signaling Theory Of Grade Inflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 1065-1090, August.
    18. Simon Board & Moritz Meyer‐ter‐Vehn, 2013. "Reputation for Quality," Econometrica, Econometric Society, vol. 81(6), pages 2381-2462, November.
    19. Malamud, Ofer & Pop-Eleches, Cristian, 2011. "School tracking and access to higher education among disadvantaged groups," Journal of Public Economics, Elsevier, vol. 95(11), pages 1538-1549.
    20. Kenn Ariga & Giorgio Brunello, 2007. "Does Secondary School Tracking Affect Performance? Evidence from IALS," KIER Working Papers 630, Kyoto University, Institute of Economic Research.
    21. Casey Rothschild & Florian Scheuer, 2016. "Optimal Taxation with Rent-Seeking," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1225-1262.
    22. Rosar, Frank, 2017. "Test design under voluntary participation," Games and Economic Behavior, Elsevier, vol. 104(C), pages 632-655.
    23. Sari Pekkala Kerr & Tuomas Pekkarinen & Roope Uusitalo, 2013. "School Tracking and Development of Cognitive Skills," Journal of Labor Economics, University of Chicago Press, vol. 31(3), pages 577-602.
    24. Becker, William E. & Rosen, Sherwin, 1992. "The learning effect of assessment and evaluation in high school," Economics of Education Review, Elsevier, vol. 11(2), pages 107-118, June.
    25. Betts, Julian R., 2011. "The Economics of Tracking in Education," 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 7, pages 341-381, Elsevier.
    26. repec:hal:pseose:halshs-00754588 is not listed on IDEAS
    27. Giorgio Brunello & Daniele Checchi, 2007. "Does school tracking affect equality of opportunity? New international evidence [‘Educational opportunities and the role of institutions’]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 22(52), pages 782-861.
    28. Albano, Gian Luigi & Lizzeri, Alessandro, 2001. "Strategic Certification and Provision of Quality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(1), pages 267-283, February.
    29. Kai Hao Yang, 2022. "Selling Consumer Data for Profit: Optimal Market-Segmentation Design and Its Consequences," American Economic Review, American Economic Association, vol. 112(4), pages 1364-1393, April.
    30. Jehiel, Philippe & Moldovanu, Benny & Stacchetti, Ennio, 1999. "Multidimensional Mechanism Design for Auctions with Externalities," Journal of Economic Theory, Elsevier, vol. 85(2), pages 258-293, April.
    31. Michael Ostrovsky & Michael Schwarz, 2010. "Information Disclosure and Unraveling in Matching Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 34-63, May.
    32. Yamashita, Takuro & Zhu, Shuguang, 2021. "Type-contingent Information Disclosure," TSE Working Papers 21-1242, Toulouse School of Economics (TSE).
    33. Costrell, Robert M, 1994. "A Simple Model of Educational Standards," American Economic Review, American Economic Association, vol. 84(4), pages 956-971, September.
    34. Maryam Saeedi & Ali Shourideh, 2020. "Optimal Rating Design under Moral Hazard," Papers 2008.09529, arXiv.org, revised Jul 2023.
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