IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v39y2012i1p215-221.html
   My bibliography  Save this article

The malicious host: a minimax solution of the Monty Hall problem

Author

Listed:
  • Jan C. Schuller

Abstract

The classic solution of the Monty Hall problem tacitly assumes that, after the candidate made his/her first choice, the host always allows the candidate to switch doors after he/she showed to the candidate a losing door, not initially chosen by the candidate. In view of actual TV shows, it seems a more credible assumption that the host will or will not allow switching. Under this assumption, possible strategies for the candidate are discussed, with respect to a minimax solution of the problem. In conclusion, the classic solution does not necessarily provide a good guidance for a candidate on a game show. It is discussed that the popularity of the problem is due to its incompleteness.

Suggested Citation

  • Jan C. Schuller, 2012. "The malicious host: a minimax solution of the Monty Hall problem," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(1), pages 215-221, April.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:1:p:215-221
    DOI: 10.1080/02664763.2011.580337
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2011.580337
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664763.2011.580337?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. Peter R. Mueser & Donald Granberg, 1999. "The Monty Hall Dilemma Revisited: Understanding the Interaction of Problem Definition and Decision Making," Experimental 9906001, University Library of Munich, Germany.
    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. Andrea Morone & Rocco Caferra & Alessia Casamassima & Alessandro Cascavilla & Paola Tiranzoni, 2021. "Three doors anomaly, “should I stay, or should I go”: an artefactual field experiment," Theory and Decision, Springer, vol. 91(3), pages 357-376, October.
    2. Philipp E. Otto, 2022. "Monty Hall three door ’anomaly’ revisited: a note on deferment in an extensive form game," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 21(1), pages 25-35, June.

    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. Philipp E. Otto, 2022. "Monty Hall three door ’anomaly’ revisited: a note on deferment in an extensive form game," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 21(1), pages 25-35, June.
    2. Mark Whitmeyer, 2017. "The Monty Hall Problem as a Bayesian Game," Games, MDPI, vol. 8(3), pages 1-21, July.

    More about this item

    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:taf:japsta:v:39:y:2012:i:1:p:215-221. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    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.