Uniformly bounded regret in the multi-secretary problem

@article{Arlotto2017UniformlyBR,
  title={Uniformly bounded regret in the multi-secretary problem},
  author={Alessandro Arlotto and Itay Gurvich},
  journal={CoRR},
  year={2017},
  volume={abs/1710.07719}
}
In the secretary problem of Cayley (1875) and Moser (1956), n non-negative, independent, random variables with common distribution are sequentially presented to a decision maker who decides when to stop and collect the most recent realization. The goal is to maximize the expected value of the collected element. In the k-choice variant, the decision maker is allowed to make k ¤ n selections to maximize the expected total value of the selected elements. Assuming that the values are drawn from a… CONTINUE READING
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On a problem of Cayley

2016. L. Moser
Scripta Mathematica, • 1956
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Secretary problem”)

T. S. Ferguson
Israel J. Math., • 1964

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