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Learning When to Stop Searching

In the classical secretary problem, one attempts to find the maximum of an unknown and unlearnable distribution through sequential search. In many real-world searches, however, distributions are not entirely unknown and can be learned through experience. To investigate learning in such settings, we conduct a large-scale behavioral experiment in which people search repeatedly from fixed distributions in a “repeated secretary problem.” In contrast to prior investigations that find no evidence for learning in the classical scenario, in the repeated setting we observe substantial learning resulting in near-optimal stopping behavior. We conduct a Bayesian comparison of multiple behavioral models, which shows that participants’ behavior is best described by a class of threshold-based models that contains the theoretically optimal strategy. Fitting such a threshold-based model to data reveals players’ estimated thresholds to be close to the optimal thresholds after only a small number of games.

Citation

D. Goldstein, R. McAfee, S. Suri, J. Wright. "Learning When to Stop Searching". Management Science, pp 1-20, August 2019.

Keywords: Bayesian model comparison, experiments, human behavior, learning, secretary problem
Category: In Journal
Web Links: DOI
  Management Science

BibTeX

@article{Goldstein+al:19,
  author = {Daniel G. Goldstein and R. Preston McAfee and Siddharth Suri and
    James R. Wright},
  title = {Learning When to Stop Searching},
  Pages = {1-20},
  journal = {Management Science},
  year = 2019,
}

Last Updated: February 25, 2020
Submitted by Sabina P

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