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相关论文: Opportunity costs in the game of best choice

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The game of best choice (also known as the secretary problem) is a model for sequential decision making with a long history and many variations. The classical setup assumes that the sequence of candidate rankings are uniformly distributed.…

组合数学 · 数学 2019-11-06 Brant Jones

We study a variation of the game of best choice (also known as the secretary problem or game of googol) under an additional assumption that the ranks of interview candidates are restricted using permutation pattern-avoidance. We describe…

组合数学 · 数学 2019-04-24 Aaron Fowlkes , Brant Jones

The game of best choice (or "secretary problem") is a model for making an irrevocable decision among a fixed number of candidate choices that are presented sequentially in random order, one at a time. Because the classically optimal…

组合数学 · 数学 2021-07-14 Brant Jones , Katelynn D. Kochalski , Sarah Loeb , Julia C. Walk

The value maximization version of the secretary problem is the problem of hiring a candidate with the largest value from a randomly ordered sequence of candidates. In this work, we consider a setting where predictions of candidate values…

数据结构与算法 · 计算机科学 2023-08-21 Kaito Fujii , Yuichi Yoshida

We study a variation of the game of best choice (also known as the secretary problem or game of googol) under an additional assumption that the ranks of interview candidates are restricted using permutation pattern-avoidance. We develop…

组合数学 · 数学 2018-12-04 Brant Jones

We consider a variant of the classical Secretary Problem. In this setting, the candidates are ranked according to some exchangeable random variable and the quest is to maximize the expected quality of the chosen aspirant. We find an upper…

概率论 · 数学 2017-09-15 Pablo Blanc , Juan Pablo Borthagaray , Daniel Kohen , Martín Mereb

We consider two variations of the classical secretary problem. * A variation of the returning secretary problem where each interviewee may appear a second time with a fixed probability p. The decision-maker observes interviewees…

数据结构与算法 · 计算机科学 2026-04-13 Sarthak Agrawal , Sanjeev Saxena

We study a game between $N$ job applicants who incur a cost $c$ (relative to the job value) to reveal their type during interviews and an administrator who seeks to maximize the probability of hiring the best. We define a full learning…

理论经济学 · 经济学 2025-07-11 Longjian Li , Alexis Akira Toda

The decision-maker (DM) sequentially evaluates up to N of different, rankable options. DM must select exactly the best one at the moment of its appearance. In the process of searching, DM finds out with each applicant whether she is the…

最优化与控制 · 数学 2022-05-23 Krzysztof J. Szajowski

We consider a variant of the secretary problem in which the candidates state their expected salary at the interview, which we assume is in accordance with their qualifications. The goal is for the employer to hire the best or the worst…

概率论 · 数学 2016-03-22 L. Bayon , J. Grau , A. M. Oller-Marcen , M. Ruiz , P. M. Suarez

We study a generalization of the secretary problem, where decisions do not have to be made immediately upon candidates' arrivals. After arriving, each candidate stays in the system for some (random) amount of time and then leaves, whereupon…

计算机科学与博弈论 · 计算机科学 2019-09-20 Thomas Kesselheim , Alexandros Psomas , Shai Vardi

Consider a hiring process with candidates coming from different universities. It is easy to order candidates with the same background, yet it can be challenging to compare them otherwise. The latter case requires additional costly…

计算机科学与博弈论 · 计算机科学 2024-11-19 Ziyad Benomar , Evgenii Chzhen , Nicolas Schreuder , Vianney Perchet

The secretary problem is probably the purest model of decision making under uncertainty. In this paper we ask which advice can we give the algorithm to improve its success probability? We propose a general model that unifies a broad range…

数据结构与算法 · 计算机科学 2020-11-16 Paul Dütting , Silvio Lattanzi , Renato Paes Leme , Sergei Vassilvitskii

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…

计算机科学与博弈论 · 计算机科学 2017-08-30 Daniel G. Goldstein , R. Preston McAfee , Siddharth Suri , James R. Wright

The Secretary problem is a classical sequential decision-making question that can be succinctly described as follows: a set of rank-ordered applicants are interviewed sequentially for a single position. Once an applicant is interviewed, an…

组合数学 · 数学 2023-03-07 Xujun Liu , Olgica Milenkovic , George V. Moustakides

In the secretary problem, a set of secretary candidates arrive in a uniformly random order and reveal their values one by one. A company, who can only hire one candidate and hopes to maximize the expected value of its hire, needs to make…

数据结构与算法 · 计算机科学 2026-02-16 Mohammad Mahdian , Jieming Mao , Enze Sun , Kangning Wang , Yifan Wang

Candidates arrive sequentially for an interview process which results in them being ranked relative to their predecessors. Based on the ranks available at each time, one must develop a decision mechanism that selects or dismisses the…

数据结构与算法 · 计算机科学 2024-05-08 George V. Moustakides , Xujun Liu , Olgica Milenkovic

The Sliding Window Secretary Problem allows a window of choices to the Classical Secretary Problem, in which there is the option to choose the previous $K$ choices immediately prior to the current choice. We consider a case of this…

概率论 · 数学 2015-09-01 Shan-Yuan Ho , Abijith Krishnan

A version of the classical secretary problem is studied, in which one is interested in selecting one of the b best out of a group of n differently ranked persons who are presented one by one in a random order. It is assumed that b is a…

概率论 · 数学 2010-09-06 Chris Dietz , Dinard van der Laan , Ad Ridder

The secretary problem or the game of Googol are classic models for online selection problems that have received significant attention in the last five decades. We consider a variant of the problem and explore its connections to data-driven…

数据结构与算法 · 计算机科学 2019-07-16 José Correa , Andrés Cristi , Boris Epstein , José A. Soto
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