A Stackelberg Game based on the Secretary Problem: Optimal Response is History Dependent

D Ramsey - arXiv preprint arXiv:2409.04153, 2024 - arxiv.org
This article considers a problem arising from a two-player game based on the classical
secretary problem. First, Player 1 selects one object from a sequence as in the secretary …

Hiring Strategies

PL Krapivsky - arXiv preprint arXiv:2412.10490, 2024 - arxiv.org
We investigate the hiring problem where a sequence of applicants is sequentially
interviewed, and a decision on whether to hire an applicant is immediately made based on …

Expected duration of the no-information minimum rank problem

S Demers - Statistics & Probability Letters, 2021 - Elsevier
Expected duration of the no-information minimum rank problem - ScienceDirect Skip to main
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On asymptotics of optimal stopping times

HN Entwistle, CJ Lustri, GY Sofronov - Mathematics, 2022 - mdpi.com
We consider optimal stopping problems, in which a sequence of independent random
variables is drawn from a known continuous density. The objective of such problems is to …

Mathematical Intuition, Deep Learning, and Robbins' Problem

FT Bruss - Jahresbericht der Deutschen Mathematiker …, 2024 - Springer
The present article is an essay about mathematical intuition and Artificial intelligence (AI),
followed by a guided excursion to Robbins' Problem of Optimal Stopping. The latter is still …

Decision-making analysis for a new variant of the classical secretary problem

Y Wu - International Journal of Mathematics in Operational …, 2024 - inderscienceonline.com
In this paper, a new variant of the classic secretary problem is studied, in which the
interviewer has a look-ahead privilege to observe partial future candidates before making a …

[PDF][PDF] Average number of candidates surveyed by the headhunter in the recruitment

M Ernst, KJ Szajowski - Math. Appl, 2021 - researchgate.net
The classical secretary problem involves sequentially interviewing a pool of N applicants
with the aim of hiring exactly the best one in the pool–nothing less is good enough. The …

Feature based dynamic matching

Y Chen, Y Kanoria, A Kumar… - Available at SSRN …, 2023 - papers.ssrn.com
Motivated by matching platforms that match agents in a centralized manner, we study
dynamic two-sided matching in a setting where both customers (demand) and service …

Odds-theorem and monotonicity

FT Bruss - arXiv preprint arXiv:1905.05611, 2019 - arxiv.org
Given a finite sequence of events and a well-defined notion of events being interesting, the
Odds-theorem (Bruss (2000)) gives an online strategy to stop on the last interesting event. It …

Uncertain Search with Knowledge Transfer

WT Huh, MJ Kim, M Lin - Available at SSRN 4339133, 2023 - papers.ssrn.com
We consider a sequential search over a group of similar alternatives. The individual value of
an alternative contains two components, an observable utility and an idiosyncratic value …