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Generalized best choice problem based on the information economics approach

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  • Y H Chun

    (Louisiana State University)

Abstract

We consider the problem of choosing the ‘best choice’ among a certain number of objects that are presented to a decision-maker in sequential order. Such a sequential selection problem is commonly referred to as the ‘best choice problem’, and its optimal stopping rule has been obtained either via the dynamic programming approach or via the Markovian approach. Based on the theory of information economics, we propose in the paper the third approach to a generalized version of the best choice problem that is intuitively more appealing. Various types of the best choice problem, such as (1) the classical secretary problem, (2) no information group interview problem, and (3) full information best choice problem with a random walk process, are shown to be special cases of the generalized best choice problem. The modelling framework of information economics has potential for building theory that ultimately would produce practical stopping rules.

Suggested Citation

  • Y H Chun, 2004. "Generalized best choice problem based on the information economics approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 988-999, September.
  • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:9:d:10.1057_palgrave.jors.2601761
    DOI: 10.1057/palgrave.jors.2601761
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    References listed on IDEAS

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    1. 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.
    2. Tōru Nakai, 1986. "An Optimal Selection Problem for a Sequence with a Random Number of Applicants Per Period," Operations Research, INFORMS, vol. 34(3), pages 478-485, June.
    3. Hak Chun, Young, 1996. "Selecting the best choice in the weighted secretary problem," European Journal of Operational Research, Elsevier, vol. 92(1), pages 135-147, July.
    4. Chun, Young H. & Moskowitz, Herbert & Plante, Robert D., 1994. "Dynamic programming formulation of the group interview problem with a general utility function," European Journal of Operational Research, Elsevier, vol. 78(1), pages 81-92, October.
    5. Ronen, Boaz, 1994. "An information-economics approach to quality control attribute sampling," European Journal of Operational Research, Elsevier, vol. 73(3), pages 430-442, March.
    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.
    7. Ronen, Boaz & Spector, Yishay, 1995. "Evaluating sampling strategy under two criteria," European Journal of Operational Research, Elsevier, vol. 80(1), pages 59-67, January.
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