IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v168y2021ics0167715220302534.html
   My bibliography  Save this article

Expected duration of the no-information minimum rank problem

Author

Listed:
  • Demers, Simon

Abstract

A decision-maker who is looking to minimize the expected rank of a candidate chosen out of a large pool of sequential applicants should plan to interview slightly less than 50.65% of them on average in the no-information setting.

Suggested Citation

  • Demers, Simon, 2021. "Expected duration of the no-information minimum rank problem," Statistics & Probability Letters, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:stapro:v:168:y:2021:i:c:s0167715220302534
    DOI: 10.1016/j.spl.2020.108950
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167715220302534
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spl.2020.108950?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. Stein, William E. & Seale, Darryl A. & Rapoport, Amnon, 2003. "Analysis of heuristic solutions to the best choice problem," European Journal of Operational Research, Elsevier, vol. 151(1), pages 140-152, November.
    2. D. V. Lindley, 1961. "Dynamic Programming and Decision Theory," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 10(1), pages 39-51, March.
    3. Frank, Arthur Q. & Samuels, Stephen M., 1980. "On an optimal stopping problem of Gusein-Zade," Stochastic Processes and their Applications, Elsevier, vol. 10(3), pages 299-311, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hugh N. Entwistle & Christopher J. Lustri & Georgy Yu. Sofronov, 2024. "Asymptotic Duration for Optimal Multiple Stopping Problems," Mathematics, MDPI, vol. 12(5), pages 1-12, February.

    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. Adam Woryna, 2017. "The solution of a generalized secretary problem via analytic expressions," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1469-1491, May.
    2. Amnon Rapoport & Darryl A. Seale & Leonidas Spiliopoulos, 2023. "Progressive stopping heuristics that excel in individual and competitive sequential search," Theory and Decision, Springer, vol. 94(1), pages 135-165, January.
    3. Vincent Mak & Darryl A. Seale & Amnon Rapoport & Eyran J. Gisches, 2019. "Voting Rules in Sequential Search by Committees: Theory and Experiments," Management Science, INFORMS, vol. 65(9), pages 4349-4364, September.
    4. Mak, Vincent & Rapoport, Amnon & Seale, Darryl A., 2014. "Sequential search by groups with rank-dependent payoffs: An experimental study," Organizational Behavior and Human Decision Processes, Elsevier, vol. 124(2), pages 256-267.
    5. Chun, Young H. & Plante, Robert D. & Schneider, Helmut, 2002. "Buying and selling an asset over the finite time horizon: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 136(1), pages 106-120, January.
    6. Fouad Ben Abdelaziz & Ray Saadaoui Mallek, 2018. "Multi-criteria optimal stopping methods applied to the portfolio optimisation problem," Annals of Operations Research, Springer, vol. 267(1), pages 29-46, August.
    7. Ravi Jagannathan & Iwan Meier, 2002. "Do We Need CAPM for Capital Budgeting?," Financial Management, Financial Management Association, vol. 31(4), Winter.
    8. J. Neil Bearden & Amnon Rapoport & Ryan O. Murphy, 2006. "Sequential Observation and Selection with Rank-Dependent Payoffs: An Experimental Study," Management Science, INFORMS, vol. 52(9), pages 1437-1449, September.
    9. So, Mee Chi & Thomas, Lyn C. & Huang, Bo, 2016. "Lending decisions with limits on capital available: The polygamous marriage problem," European Journal of Operational Research, Elsevier, vol. 249(2), pages 407-416.
    10. 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.
    11. Schaffner, Florian, 2016. "Information transmission in high dimensional choice problems: The value of online ratings in the restaurant market," VfS Annual Conference 2016 (Augsburg): Demographic Change 145585, Verein für Socialpolitik / German Economic Association.
    12. L. Bayón & P. Fortuny Ayuso & J. M. Grau & A. M. Oller-Marcén & M. M. Ruiz, 2018. "The Best-or-Worst and the Postdoc problems," Journal of Combinatorial Optimization, Springer, vol. 35(3), pages 703-723, April.
    13. José A. Soto & Abner Turkieltaub & Victor Verdugo, 2021. "Strong Algorithms for the Ordinal Matroid Secretary Problem," Mathematics of Operations Research, INFORMS, vol. 46(2), pages 642-673, May.
    14. Stein, William E. & Seale, Darryl A. & Rapoport, Amnon, 2003. "Analysis of heuristic solutions to the best choice problem," European Journal of Operational Research, Elsevier, vol. 151(1), pages 140-152, November.
    15. Wojciech Kaźmierczak, 2016. "The best choice problem for posets; colored complete binary trees," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 13-28, January.
    16. Yaakov Malinovsky & Gregory Haber & Paul S. Albert, 2020. "An optimal design for hierarchical generalized group testing," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 69(3), pages 607-621, June.
    17. Sadoghi, Amirhossein & Vecer, Jan, 2022. "Optimal liquidation problem in illiquid markets," European Journal of Operational Research, Elsevier, vol. 296(3), pages 1050-1066.
    18. Werner Guth & Torsten Weiland, 2011. "Aspiration formation and satisficing in search with(out) competition," New Zealand Economic Papers, Taylor & Francis Journals, vol. 45(1-2), pages 23-45.
    19. Hsiao, Yu-Chin & Kemp, Simon & Servátka, Maroš & Ward, Matt & Zhang, Le, 2021. "Time Costs and Search Behavior," MPRA Paper 105412, University Library of Munich, Germany.
    20. Martin Meier & Leopold Sögner, 2023. "Hunting for superstars," Mathematics and Financial Economics, Springer, volume 17, number 1, March.

    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:eee:stapro:v:168:y:2021:i:c:s0167715220302534. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.