IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v54y2025i1d10.1007_s00182-025-00922-w.html
   My bibliography  Save this article

Incentivizing hidden types in secretary problem

Author

Listed:
  • Longjian Li

    (New York University)

  • Alexis Akira Toda

    (Emory University)

Abstract

We study a game between N job applicants who incur a cost $$c\in [0,1)$$ c ∈ [ 0 , 1 ) (relative to the job value) to reveal their type during interviews and an administrator who seeks to maximize the probability of hiring the best applicant. We define a full learning equilibrium and prove its existence, uniqueness, and optimality. In full learning equilibrium, the administrator accepts the current best applicant n with probability c if $$n

Suggested Citation

  • Longjian Li & Alexis Akira Toda, 2025. "Incentivizing hidden types in secretary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 54(1), pages 1-21, June.
    • Handle: RePEc:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00922-w
    DOI: 10.1007/s00182-025-00922-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00182-025-00922-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00182-025-00922-w?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. Steve Alpern & Shmuel Gal, 2009. "Analysis and design of selection committees: a game theoretic secretary problem," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 377-394, November.
    2. Niv Buchbinder & Kamal Jain & Mohit Singh, 2014. "Secretary Problems via Linear Programming," Mathematics of Operations Research, INFORMS, vol. 39(1), pages 190-206, February.
    3. Alpern, Steve & Gal, Shmuel & Solan, Eilon, 2010. "A sequential selection game with vetoes," Games and Economic Behavior, Elsevier, vol. 68(1), pages 1-14, January.
    4. Hahn, Niklas & Hoefer, Martin & Smorodinsky, Rann, 2022. "The secretary recommendation problem," Games and Economic Behavior, Elsevier, vol. 134(C), pages 199-228.
    5. Kimmo Eriksson & Jonas Sjöstrand & Pontus Strimling, 2007. "Optimal Expected Rank in a Two-Sided Secretary Problem," Operations Research, INFORMS, vol. 55(5), pages 921-931, October.
    6. Jean-Jacques Laffont & Jean Tirole, 1993. "A Theory of Incentives in Procurement and Regulation," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121743, December.
    7. Tatjana Chudjakow & Frank Riedel, 2013. "The best choice problem under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 77-97, September.
    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. Longjian Li & Alexis Akira Toda, 2022. "Incentivizing Hidden Types in Secretary Problem," Papers 2208.05897, arXiv.org, revised Jul 2024.
    2. Steve Alpern & Vic Baston, 2017. "The Secretary Problem with a Selection Committee: Do Conformist Committees Hire Better Secretaries?," Management Science, INFORMS, vol. 63(4), pages 1184-1197, April.
    3. , & ,, 2013. "Specialization and partisanship in committee search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    4. Francis X. Flanagan, 2015. "Peremptory Challenges and Jury Selection," Journal of Law and Economics, University of Chicago Press, vol. 58(2), pages 385-416.
    5. Rohan DUTTA, 2016. "Joint Search with No Information: An Inefficient Immediate Agreement Theorem," Cahiers de recherche 12-2016, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    6. Dutta, Rohan, 2017. "Joint search with no information: An immediate agreement theorem," Economics Letters, Elsevier, vol. 160(C), pages 43-45.
    7. Klein, Michael, 1996. "Competition in network industries," Policy Research Working Paper Series 1591, The World Bank.
    8. MARINI, Marco, 1996. "Property Rights and Market : Employee Privatization as a Cooperative Bargaining Process," LIDAM Discussion Papers CORE 1996023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Simon P. Anderson & Régis Renault, 2011. "Price Discrimination," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 22, Edward Elgar Publishing.
    10. David Martimort & Flavio Menezes & Myrna Wooders & ELISABETTA IOSSA & DAVID MARTIMORT, 2015. "The Simple Microeconomics of Public-Private Partnerships," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(1), pages 4-48, February.
    11. Bassanini, Anna & Pouyet, Jerome, 2005. "Strategic choice of financing systems in regulated and interconnected industries," Journal of Public Economics, Elsevier, vol. 89(2-3), pages 233-259, February.
    12. Josse Delfgaauw & Robert Dur, 2008. "Incentives and Workers' Motivation in the Public Sector," Economic Journal, Royal Economic Society, vol. 118(525), pages 171-191, January.
    13. Daron Acemoglu & Amy Finkelstein, 2008. "Input and Technology Choices in Regulated Industries: Evidence from the Health Care Sector," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 837-880, October.
    14. Lehmann, Markus A., 2002. "Error minimization and deterrence in agency control," International Review of Law and Economics, Elsevier, vol. 21(4), pages 373-391, May.
    15. Urrunaga, Roberto & Aparicio, Carlos, 2012. "Infrastructure and economic growth in Peru," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), August.
    16. Ernesto Dal Bo, 2000. "Bribing Voters," Economics Series Working Papers 39, University of Oxford, Department of Economics.
    17. Dawood MAMOON, 2017. "Can micro credit schemes be introduced by formal banking sector?," Journal of Economics Library, KSP Journals, vol. 4(3), pages 359-371, September.
    18. Keppler, Jan Horst & Quemin, Simon & Saguan, Marcelo, 2022. "Why the sustainable provision of low-carbon electricity needs hybrid markets," Energy Policy, Elsevier, vol. 171(C).
    19. Gianpaolo Rossini & Cecilia Vergari, 2014. "The Discrete Charm of Uniform Linear Pricing of an Input Production Joint Venture," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 8(2), pages 68-83, October.
    20. Lise Rochaix, 2004. "Les modes de rémunération des médecins," Revue d'Économie Financière, Programme National Persée, vol. 76(3), pages 223-239.

    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:spr:jogath:v:54:y:2025:i:1:d:10.1007_s00182-025-00922-w. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.