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Setting an exam as an information design problem

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  • Makoto Shimoji

Abstract

We take a teacher's exam‐setting task as an information design problem. Specifically, the teacher chooses a conditional distribution of grades given students' types. After observing their exam results, each student updates her belief regarding her type via Bayes' rule and chooses an action. Students' reactions to the same exam result could be different, depending on their heterogeneous prior beliefs. The teacher's objective is to persuade students to take a certain action (e.g., applying to universities), which some may not choose without an exam. The teacher adopts different grade distributions, depending on the teacher's and the students' heterogeneous prior beliefs.

Suggested Citation

  • Makoto Shimoji, 2023. "Setting an exam as an information design problem," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 559-579, September.
  • Handle: RePEc:bla:ijethy:v:19:y:2023:i:3:p:559-579
    DOI: 10.1111/ijet.12368
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    References listed on IDEAS

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    1. Gerald S. Oettinger, 2002. "The Effect Of Nonlinear Incentives On Performance: Evidence From "Econ 101"," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 509-517, August.
    2. Jeffrey T. Denning & Eric R. Eide & Kevin J. Mumford & Richard W. Patterson & Merrill Warnick, 2022. "Why Have College Completion Rates Increased?," American Economic Journal: Applied Economics, American Economic Association, vol. 14(3), pages 1-29, July.
    3. Uri Gneezy & John A. List & Jeffrey A. Livingston & Xiangdong Qin & Sally Sadoff & Yang Xu, 2019. "Measuring Success in Education: The Role of Effort on the Test Itself," American Economic Review: Insights, American Economic Association, vol. 1(3), pages 291-308, December.
    4. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    5. Todd Stinebrickner & Ralph Stinebrickner, 2012. "Learning about Academic Ability and the College Dropout Decision," Journal of Labor Economics, University of Chicago Press, vol. 30(4), pages 707-748.
    6. Basit Zafar, 2011. "How Do College Students Form Expectations?," Journal of Labor Economics, University of Chicago Press, vol. 29(2), pages 301-348.
    7. Makoto Shimoji, 2022. "Bayesian persuasion in unlinked games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(3), pages 451-481, November.
    8. Matthew Gentzkow & Emir Kamenica, 2017. "Competition in Persuasion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 300-322.
    9. Penélope Hernández & Zvika Neeman, 2022. "How Bayesian Persuasion Can Help Reduce Illegal Parking and Other Socially Undesirable Behavior," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 186-215, February.
    10. Analia Schlosser & Zvika Neeman & Yigal Attali, 2019. "Differential Performance in High Versus Low Stakes Tests: Evidence from the Gre Test," The Economic Journal, Royal Economic Society, vol. 129(623), pages 2916-2948.
    11. repec:oup:econjl:v:129:y:2019:i:10:p:2916-2948. is not listed on IDEAS
    12. David Card & Stefano DellaVigna, 2020. "What Do Editors Maximize? Evidence from Four Economics Journals," The Review of Economics and Statistics, MIT Press, vol. 102(1), pages 195-217, March.
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