Avoiding patterns and making the best choice

@article{Jones2019AvoidingPA,
  title={Avoiding patterns and making the best choice},
  author={Brant C. Jones},
  journal={Discret. Math.},
  year={2019},
  volume={342},
  pages={1529-1545}
}
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4 Citations
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4 Citations

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Citation Type

Weighted games of best choice
TLDR
A general class of permutation statistics is introduced that always produces games of best choice whose optimal strategy is positional and produces a new proof of a foundational result from the literature on the secretary problem.
Strategy-indifferent games of best choice
Finding the Second-Best Candidate under the Mallows Model
Secretary Problem with Possible Errors in Observation
TLDR
This article proposes modeling doubts of decision maker by considering a modification of the secretary problem that assumes that the decision maker can not observe the relative ranks in a proper way and calculates the optimal strategy and the value of the problem.

References

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TLDR
This work initiates an investigation into relaxations of the random-ordering hypothesis in online algorithms, by focusing on the secretary problem and asking what performance guarantees one can prove under relaxed assumptions, and proves that Θ(log log n) is the minimum entropy of any permutation distribution that permits constant probability of correct selection in the secretaries problem with $n$ elements.
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TLDR
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