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The Secretary Problem Revisited - The Group Decision-Making Perspective

Author

Listed:
  • Pekka Salminen

    (University of Jyväskylä, Seminaarinkatu 15)

  • Jeffrey E. Teich

    (New Mexico State University)

  • Jyrki Wallenius

    (Helsinki School of Economics)

Abstract

We consider a decision situation where there is an initial set of alternatives that may be augmented, a variant of the problem known in the literature as the "secretary problem". We focus the discussion on the special case of group decision-making, where a group or committee is charged with the responsibility of negotiating the decision. We investigate situations of explicitly stated (multiple) criteria and the simpler situation of no such stated criteria. The former case includes the congenial, the mixed, and the uncongenial cases, where the individuals agree on the direction of all, some, or none of the criteria, respectively. We offer a framework within which a group of individuals can be supported in such a decision process. In the case of explicit criteria, we provide the decision-makers with probability information of the likelihood of finding more preferred alternatives provided the initial set of alternatives is expanded. The framework is tested using a simulated real-world choice situation.

Suggested Citation

  • Pekka Salminen & Jeffrey E. Teich & Jyrki Wallenius, 1998. "The Secretary Problem Revisited - The Group Decision-Making Perspective," Group Decision and Negotiation, Springer, vol. 7(1), pages 3-21, January.
    • Handle: RePEc:spr:grdene:v:7:y:1998:i:1:d:10.1023_a:1008619112486
    DOI: 10.1023/A:1008619112486
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    References listed on IDEAS

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    1. Pekka Korhonen & Herbert Moskowitz & Pekka Salminen & Jyrki Wallenius, 1993. "Further Developments and Tests of a Progressive Algorithm for Multiple Criteria Decision Making," Operations Research, INFORMS, vol. 41(6), pages 1033-1045, December.
    2. Korhonen, Pekka & Moskowitz, Herbert & Wallenius, Jyrki, 1992. "Multiple criteria decision support - A review," European Journal of Operational Research, Elsevier, vol. 63(3), pages 361-375, December.
    3. Jeryl L. Mumpower, 1991. "The Judgment Policies of Negotiators and the Structure of Negotiation Problems," Management Science, INFORMS, vol. 37(10), pages 1304-1324, October.
    4. Mitsushi Tamaki, 1991. "A Secretary Problem with Uncertain Employment and Best Choice of Available Candidates," Operations Research, INFORMS, vol. 39(2), pages 274-284, April.
    5. Iz, Peri H., 1992. "Two multiple criteria group decision support systems based on mathematical programming and ranking methods," European Journal of Operational Research, Elsevier, vol. 61(1-2), pages 245-253, August.
    6. Pekka Korhonen & Herbert Moskowitz & Jyrki Wallenius, 1986. "A Progressive Algorithm for Modeling and Solving Multiple-Criteria Decision Problems," Operations Research, INFORMS, vol. 34(5), pages 726-731, October.
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    Cited by:

    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.

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