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Related papers: Online Trading as a Secretary Problem

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This paper studies an online trading variant of the classical secretary problem, called secretary problem variant trading (SPVT), from the perspective of an intermediary who facilitates trade between a seller and $n$ buyers (collectively…

Optimization and Control · Mathematics 2026-04-20 Xujin Chen , Xiaodong Hu , Changjun Wang , Yuchun Xiong , Qingjie Ye

We study a dynamic market setting where an intermediary interacts with an unknown large sequence of agents that can be either sellers or buyers: their identities, as well as the sequence length $n$, are decided in an adversarial, online…

Computer Science and Game Theory · Computer Science 2017-03-29 Yiannis Giannakopoulos , Elias Koutsoupias , Philip Lazos

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

Suppose that $n$ items arrive online in random order and the goal is to select $k$ of them such that the expected sum of the selected items is maximized. The decision for any item is irrevocable and must be made on arrival without knowing…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Leon Ladewig

We consider a generalization of the secretary problem where contracts are temporary, and for a fixed duration. This models online hiring of temporary employees, or online auctions for re-usable resources. The problem is related to the…

Data Structures and Algorithms · Computer Science 2015-07-09 Amos Fiat , Ilia Gorelik , Haim Kaplan , Slava Novgorodov

In this paper we revisit the basic variant of the classical secretary problem. We propose a new approach in which we separate between an agent that evaluates the secretary performance and one that has to make the hiring decision. The…

Computer Science and Game Theory · Computer Science 2020-05-27 Niklas Hahn , Martin Hoefer , Rann Smorodinsky

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

In the secretary problem we are faced with an online sequence of elements with values. Upon seeing an element we have to make an irrevocable take-it-or-leave-it decision. The goal is to maximize the probability of picking the element of…

Computer Science and Game Theory · Computer Science 2020-11-17 José Correa , Andrés Cristi , Laurent Feuilloley , Tim Oosterwijk , Alexandros Tsigonias-Dimitriadis

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

This paper studies a matching problem in which a group of agents cooperate with agents on two sides. In environments with either nontransferable or transferable utilities, we demonstrate that a stable outcome exists when cooperations…

Theoretical Economics · Economics 2025-09-16 Chao Huang

We study the optimal mechanism design problem faced by a market intermediary who makes revenue by connecting buyers and sellers. We first show that the optimal intermediation protocol has substantial structure: it is the solution to an…

Computer Science and Game Theory · Computer Science 2012-10-12 Kamal Jain , Christopher A. Wilkens

In the online random-arrival model, an algorithm receives a sequence of n requests that arrive in a random order. The algorithm is expected to make an irrevocable decision with regard to each request based only on the observed history. We…

Data Structures and Algorithms · Computer Science 2014-07-08 Shai Vardi

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

In learning-augmented online algorithms, predictions are usually valued for what they say: a value estimate, a solution, or an algorithmic recommendation. This paper shows that predictions can also be valuable solely due to their arrival…

Data Structures and Algorithms · Computer Science 2026-05-22 Franziska Eberle , Alexander Lindermayr

In an online contract selection problem there is a seller which offers a set of contracts to sequentially arriving buyers whose types are drawn from an unknown distribution. If there exists a profitable contract for the buyer in the offered…

Machine Learning · Computer Science 2013-05-16 Cem Tekin , Mingyan Liu

This paper bridges two perspectives: it studies the multi-secretary problem through the fairness lens of social choice, and examines multi-winner elections from the viewpoint of online decision making. After identifying the limitations of…

Computer Science and Game Theory · Computer Science 2025-12-01 Georgios Papasotiropoulos , Zein Pishbin

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

We study a basic auction design problem with online supply. There are two unit-demand bidders and two types of items. The first item type will arrive first for sure, and the second item type may or may not arrive. The auctioneer has to…

Computer Science and Game Theory · Computer Science 2017-07-17 Nikhil R. Devanur , Balasubramanian Sivan , Vasilis Syrgkanis

Data buyers compete in a game of incomplete information about which a single data seller owns some payoff-relevant information. The seller faces a joint information- and mechanism-design problem: deciding which information to sell, while…

Computer Science and Game Theory · Computer Science 2024-11-18 Alessandro Bonatti , Munther Dahleh , Thibaut Horel , Amir Nouripour
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