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An optimal split of school classes

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  • Stark, Oded

Abstract

In many countries, schools have responded to the COVID-19 pandemic by splitting up classes. While the purpose of dividing classes is clearly health-related, the process of doing so poses an interesting question: what is the best way to divide a class so as to maximize the incentive for students to perform better? Using a constructive example, we demonstrate how social-psychological unhappiness can be the basis for an incentive structure that optimally nudges students to improve their performance. The example is based on evidence that students aspire to improve their performance when it lags behind that of other students with whom they naturally compare themselves. For a given set of m students, we quantify unhappiness by the index of relative deprivation, which measures the extent to which a student lags behind other students in the set who are doing better than him. We examine how to divide the set into an exogenously predetermined number of subsets in order to maximize aggregate relative deprivation, so that the incentive for the students to study harder because of unfavorable comparison with other students is at its strongest. We show that the solution to this problem depends only on the students' ordinally-measured levels of performance, independent of the performance of comparators. In addition, we find that when m is an even number, there are multiple optimal divisions, whereas when m is an odd number, there is only one optimal division.

Suggested Citation

  • Stark, Oded, 2021. "An optimal split of school classes," University of Tübingen Working Papers in Business and Economics 143, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
  • Handle: RePEc:zbw:tuewef:143
    DOI: 10.15496/publikation-54008
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    References listed on IDEAS

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    1. Azmat, Ghazala & Iriberri, Nagore, 2010. "The importance of relative performance feedback information: Evidence from a natural experiment using high school students," Journal of Public Economics, Elsevier, vol. 94(7-8), pages 435-452, August.
    2. Jacob M. Markman & Eric A. Hanushek & John F. Kain & Steven G. Rivkin, 2003. "Does peer ability affect student achievement?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(5), pages 527-544.
    3. Armin Falk & Andrea Ichino, 2006. "Clean Evidence on Peer Effects," Journal of Labor Economics, University of Chicago Press, vol. 24(1), pages 39-58, January.
    4. Mary C. Daly & Daniel J. Wilson & Norman J. Johnson, 2013. "Relative Status and Well-Being: Evidence from U.S. Suicide Deaths," The Review of Economics and Statistics, MIT Press, vol. 95(5), pages 1480-1500, December.
    5. Oriana Bandiera & Iwan Barankay & Imran Rasul, 2010. "Social Incentives in the Workplace," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 417-458.
    6. Stark, Oded & Bielawski, Jakub & Falniowski, Fryderyk, 2017. "A class of proximity-sensitive measures of relative deprivation," Economics Letters, Elsevier, vol. 160(C), pages 105-110.
    7. Alain Cohn & Ernst Fehr & Benedikt Herrmann & Frédéric Schneider, 2014. "Social Comparison And Effort Provision: Evidence From A Field Experiment," Journal of the European Economic Association, European Economic Association, vol. 12(4), pages 877-898, August.
    8. Pak, Tae-Young & Choung, Youngjoo, 2020. "Relative deprivation and suicide risk in South Korea," Social Science & Medicine, Elsevier, vol. 247(C).
    9. Robert Garlick, 2018. "Academic Peer Effects with Different Group Assignment Policies: Residential Tracking versus Random Assignment," American Economic Journal: Applied Economics, American Economic Association, vol. 10(3), pages 345-369, July.
    10. 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.
    11. Leonardo Bursztyn & Robert Jensen, 2015. "How Does Peer Pressure Affect Educational Investments?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(3), pages 1329-1367.
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    More about this item

    Keywords

    Social-psychological preferences; Distaste for trailing behind others; Unhappiness as measured by relative deprivation; Pressure to perform better; Superior performance of comparators; Assignment of students to subclasses; Optimum incentive to improve performance;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

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