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We consider a stochastic online problem where $n$ applicants arrive over time, one per time step. Upon arrival of each applicant their cost per time step is revealed, and we have to fix the duration of employment, starting immediately. This…

Data Structures and Algorithms · Computer Science 2017-05-31 Yann Disser , John Fearnley , Martin Gairing , Oliver Göbel , Max Klimm , Daniel Schmand , Alexander Skopalik , Andreas Tönnis

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…

Data Structures and Algorithms · Computer Science 2023-08-21 Kaito Fujii , Yuichi Yoshida

Online advertising has motivated interest in online selection problems. Displaying ads to the right users benefits both the platform (e.g., via pay-per-click) and the advertisers (by increasing their reach). In practice, not all users click…

Computer Science and Game Theory · Computer Science 2024-08-16 Sebastian Perez-Salazar , Mohit Singh , Alejandro Toriello

The classical analysis of online algorithms, due to its worst-case nature, can be quite pessimistic when the input instance at hand is far from worst-case. Often this is not an issue with machine learning approaches, which shine in…

Data Structures and Algorithms · Computer Science 2020-10-22 Antonios Antoniadis , Themis Gouleakis , Pieter Kleer , Pavel Kolev

We define and study a new variant of the secretary problem. Whereas in the classic setting multiple secretaries compete for a single position, we study the case where the secretaries arrive one at a time and are assigned, in an on-line…

Computer Science and Game Theory · Computer Science 2017-05-05 Yakov Babichenko , Yuval Emek , Michal Feldman , Boaz Patt-Shamir , Ron Peretz , Rann Smorodinsky

We consider online resource allocation problems where given a set of requests our goal is to select a subset that maximizes a value minus cost type of objective function. Requests are presented online in random order, and each request…

Data Structures and Algorithms · Computer Science 2011-12-07 Siddharth Barman , Seeun Umboh , Shuchi Chawla , David Malec

We study the submodular secretary problem with a cardinality constraint. In this problem, $n$ candidates for secretaries appear sequentially in random order. At the arrival of each candidate, a decision maker must irrevocably decide whether…

Data Structures and Algorithms · Computer Science 2019-05-14 Kaito Fujii

In this paper we introduce the hiring under uncertainty problem to model the questions faced by hiring committees in large enterprises and universities alike. Given a set of $n$ eligible candidates, the decision maker needs to choose the…

Data Structures and Algorithms · Computer Science 2019-05-08 Manish Raghavan , Manish Purohit , Sreenivas Gollupadi

A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers.…

Data Structures and Algorithms · Computer Science 2015-12-02 Ajil Jalal , Rahul Vaze , Umang Bhaskar

We extend the standard online worst-case model to accommodate past experience which is available to the online player in many practical scenarios. We do this by revealing a random sample of the adversarial input to the online player ahead…

Data Structures and Algorithms · Computer Science 2019-07-12 Haim Kaplan , David Naori , Danny Raz

We study the problem of selecting the top-k candidates from a pool of applicants, where each candidate is associated with a score indicating his/her aptitude. Depending on the specific scenario, such as job search or college admissions,…

Computers and Society · Computer Science 2021-03-08 Giorgio Barnabo' , Carlos Castillo , Michael Mathioudakis , Sergio Celis

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…

Probability · Mathematics 2016-03-22 L. Bayon , J. Grau , A. M. Oller-Marcen , M. Ruiz , P. M. Suarez

Public and private institutions must often allocate scare resources under uncertainty. Banks, for example, extend credit to loan applicants based in part on their estimated likelihood of repaying a loan. But when the quality of information…

Computers and Society · Computer Science 2021-10-11 William Cai , Johann Gaebler , Nikhil Garg , Sharad Goel

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…

Combinatorics · Mathematics 2023-03-07 Xujun Liu , Olgica Milenkovic , George V. Moustakides

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…

Probability · Mathematics 2017-09-15 Pablo Blanc , Juan Pablo Borthagaray , Daniel Kohen , Martín Mereb

How should a firm allocate its limited interviewing resources to select the optimal cohort of new employees from a large set of job applicants? How should that firm allocate cheap but noisy resume screenings and expensive but in-depth…

Machine Learning · Computer Science 2019-03-15 Candice Schumann , Samsara N. Counts , Jeffrey S. Foster , John P. Dickerson

Selective contests can impair participants' overall welfare in overcompetitive environments, such as school admissions. This paper models the situation as an optimal contest design problem with binary actions, treating effort costs as…

Theoretical Economics · Economics 2024-10-07 Penghuan Yan

Selection under category or diversity constraints is a ubiquitous and widely-applicable problem that is encountered in immigration, school choice, hiring, and healthcare rationing. These diversity constraints are typically represented by…

Computer Science and Game Theory · Computer Science 2023-02-21 Haris Aziz , Sean Morota Chu , Zhaohong Sun

We improve the best known competitive ratio (from 1/4 to 1/2), for the online multi-unit allocation problem, where the objective is to maximize the single-price revenue. Moreover, the competitive ratio of our algorithm tends to 1, as the…

Computer Science and Game Theory · Computer Science 2009-01-13 Sourav Chakraborty , Nikhil Devanur

Employers are adopting algorithmic hiring technology throughout the recruitment pipeline. Algorithmic fairness is especially applicable in this domain due to its high stakes and structural inequalities. Unfortunately, most work in this…

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