IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2510.12653.html
   My bibliography  Save this paper

Selection Procedures in Competitive Admission

Author

Listed:
  • Nathan Hancart

Abstract

Two identical firms compete to attract and hire from a pool of candidates of unknown productivity. Firms simultaneously post a selection procedure which consists of a test and an acceptance probability for each test outcome. After observing the firms' selection procedures, each candidate can apply to one of them. Firms can vary both the accuracy (Lehmann, 1988) and difficulty (Hancart, 2024) of their test. The firms face two key considerations when choosing their selection procedure: the statistical properties of their test and the selection into the procedure by the candidates. I show that there is a unique symmetric equilibrium where the test is maximally accurate but minimally difficult. Intuitively, competition leads to maximal but misguided learning: firms end up having precise knowledge that is not payoff relevant. I also consider the cases where firms face capacity constraints, have the possibility of making a wage offer and the existence of asymmetric equilibria where one firm is more selective than another.

Suggested Citation

  • Nathan Hancart, 2025. "Selection Procedures in Competitive Admission," Papers 2510.12653, arXiv.org, revised Nov 2025.
    • Handle: RePEc:arx:papers:2510.12653
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2510.12653
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Michael Rothschild & Joseph Stiglitz, 1976. "Equilibrium in Competitive Insurance Markets: An Essay on the Economics of Imperfect Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 90(4), pages 629-649.
    2. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    3. Michael Peters, 1997. "A Competitive Distribution of Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 97-123.
    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. Eduardo M. Azevedo & Daniel Gottlieb, 2017. "Perfect Competition in Markets With Adverse Selection," Econometrica, Econometric Society, vol. 85, pages 67-105, January.
    2. Cai, Xiaoming & Gautier, Pieter A. & Wolthoff, Ronald P., 2017. "Search frictions, competing mechanisms and optimal market segmentation," Journal of Economic Theory, Elsevier, vol. 169(C), pages 453-473.
    3. Roland Bénabou & Jean Tirole, 2016. "Bonus Culture: Competitive Pay, Screening, and Multitasking," Journal of Political Economy, University of Chicago Press, vol. 124(2), pages 305-370.
    4. Anqi Li & Yiqing Xing, 2018. "Intermediated Implementation," Papers 1810.11475, arXiv.org, revised Jan 2020.
    5. Jan Eeckhout, 2013. "Unemployment Risk and the Distribution of Assets," 2013 Meeting Papers 337, Society for Economic Dynamics.
    6. Boeri, Tito & Garibaldi, Pietro & Moen, Espen R., 2017. "Inside severance pay," Journal of Public Economics, Elsevier, vol. 145(C), pages 211-225.
    7. Auster, Sarah & Gottardi, Piero, 2019. "Competing mechanisms in markets for lemons," Theoretical Economics, Econometric Society, vol. 14(3), September.
    8. Beyhaghi, Mehdi & Mahmoudi, Babak & Mohammadi, Ali, 2013. "Adverse Selection and Search Frictions in Corporate Loan Contracts," MPRA Paper 49780, University Library of Munich, Germany.
    9. Seyed Mohammadreza Davoodalhosseini, 2020. "Adverse Selection With Heterogeneously Informed Agents," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(3), pages 1307-1358, August.
    10. von Siemens, Ferdinand A. & Kosfeld, Michael, 2014. "Team production in competitive labor markets with adverse selection," European Economic Review, Elsevier, vol. 68(C), pages 181-198.
    11. Mayr-Dorn, Karin, 2020. "Adverse selection, learning, and competitive search," GLO Discussion Paper Series 700, Global Labor Organization (GLO).
    12. Dosis, Anastasios, 2018. "On signalling and screening in markets with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 140-149.
    13. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    14. Pavan, Alessandro & Vives, Xavier, 2015. "Information, Coordination, and Market Frictions: An Introduction," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 407-426.
    15. Bi, Sheng & Langot, François, 2014. "Search and Retirement under Asymmetric Information," IZA Discussion Papers 8288, Institute of Labor Economics (IZA).
    16. Wanda Mimra & Achim Wambach, 2011. "A Game-Theoretic Foundation for the Wilson Equilibrium in Competitive Insurance Markets with Adverse Selection," CESifo Working Paper Series 3412, CESifo.
    17. Hachem, Kinda, 2021. "Inefficiently low screening with Walrasian markets," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 935-948.
    18. Willington, Manuel & Navarro, Lucas, 2015. "Work hours regulation in a search economy with adverse selection," Economics Letters, Elsevier, vol. 136(C), pages 46-48.
    19. Wanda Mimra & Achim Wambach, 2019. "Contract withdrawals and equilibrium in competitive markets with adverse selection," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(4), pages 875-907, June.
    20. Andrea Attar & Thomas Mariotti & François Salanié, 2022. "Regulating Insurance Markets: Multiple Contracting And Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 981-1020, August.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2510.12653. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.