IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v28y1980i4p952-968.html
   My bibliography  Save this article

Optimal Challenges for Selection

Author

Listed:
  • Morris H. Degroot

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

  • Joseph B. Kadane

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

Abstract

This paper generalizes the problems of optimal selection considered by Roth, Kadane and DeGroot by allowing a set of J items to be chosen by two decision makers, the first of whom has A challenges and the second has B challenges. The two decision makers each have an opportunity to challenge each item before it is accepted, in some arbitrary fixed order. We assume that the decision makers know the utility function of the other side as well as their own over sets of J items, and that they know the subjective distribution, assigned by the other side, of characteristics of potential items that will be observed, as well as their own. Under these conditions the other side's response to each potential item can be predicted with certainty, and backward induction defines an optimal strategy. We study an important special case we call regular, and show that it is never disadvantageous to go first in the regular case. The use of peremptory challenges in jury trials motivates our model. The basic model in which jurors are challenged one at a time is extended to a more general class of problems that includes the group system and the struck jury system.

Suggested Citation

  • Morris H. Degroot & Joseph B. Kadane, 1980. "Optimal Challenges for Selection," Operations Research, INFORMS, vol. 28(4), pages 952-968, August.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:4:p:952-968
    DOI: 10.1287/opre.28.4.952
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.28.4.952
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.28.4.952?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
    ---><---

    Citations

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


    Cited by:

    1. 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.
    2. 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.
    3. Lehmann, Jee-Yeon & Smith, Jeremy, 2011. "Attorney empowerment in Voir Dire and the racial composition of juries," MPRA Paper 36338, University Library of Munich, Germany.
    4. Steve Alpern & Bo Chen, 2017. "Who should cast the casting vote? Using sequential voting to amalgamate information," Theory and Decision, Springer, vol. 83(2), pages 259-282, August.
    5. Francis X. Flanagan, 2015. "Peremptory Challenges and Jury Selection," Journal of Law and Economics, University of Chicago Press, vol. 58(2), pages 385-416.

    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:inm:oropre:v:28:y:1980:i:4:p:952-968. 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.

    We have no bibliographic references for this item. You can help adding them by using 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 Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.