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We present a number of positive and negative results for variants of the matroid secretary problem. Most notably, we design a constant-factor competitive algorithm for the "random assignment" model where the weights are assigned randomly to…

Data Structures and Algorithms · Computer Science 2011-12-13 Shayan Oveis Gharan , Jan Vondrák

Due to their numerous applications, in particular in Mechanism Design, Prophet Inequalities have experienced a surge of interest. They describe competitive ratios for basic stopping time problems where random variables get revealed…

Data Structures and Algorithms · Computer Science 2025-07-15 Moran Feldman , Ola Svensson , Rico Zenklusen

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 consider the fair allocation of indivisible items to several agents with additional conflict constraints. These are represented by a conflict graph where each item corresponds to a vertex of the graph and edges in the graph represent…

Discrete Mathematics · Computer Science 2023-08-21 Nina Chiarelli , Matjaž Krnc , Martin Milanič , Ulrich Pferschy , Joachim Schauer

We advance a recently flourishing line of work at the intersection of learning theory and computational economics by studying the learnability of two classes of mechanisms prominent in economics, namely menus of lotteries and two-part…

Computer Science and Game Theory · Computer Science 2024-07-17 Maria-Florina Balcan , Hedyeh Beyhaghi

One of the classic problems in online decision-making is the *secretary problem* where to goal is to maximize the probability of choosing the largest number from a randomly ordered sequence. A natural extension allows selecting multiple…

Data Structures and Algorithms · Computer Science 2025-01-16 Kiarash Banihashem , MohammadTaghi Hajiaghayi , Dariusz R. Kowalski , Piotr Krysta , Danny Mittal , Jan Olkowski

We consider a class of optimization problems that involve determining the maximum value that a function in a particular class can attain subject to a collection of difference constraints. We show that a particular linear programming…

Data Structures and Algorithms · Computer Science 2022-11-16 Sungjin Im , Benjamin Moseley , Hung Q. Ngo , Kirk Pruhs , Alireza Samadian

Bayesian persuasion studies how an informed sender should influence beliefs of rational receivers who take decisions through Bayesian updating of a common prior. We focus on the online Bayesian persuasion framework, in which the sender…

Computer Science and Game Theory · Computer Science 2023-03-03 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Nicola Gatti , Francesco Trovò

Ad auctions in sponsored search support ``broad match'' that allows an advertiser to target a large number of queries while bidding only on a limited number. While giving more expressiveness to advertisers, this feature makes it challenging…

Computer Science and Game Theory · Computer Science 2009-01-26 Eyal Even-dar , Yishay Mansour , Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

We investigate revenue guarantees for auction mechanisms in a model where a distribution is specified for each bidder, but only some of the distributions are correct. The subset of bidders whose distribution is correctly specified…

Computer Science and Game Theory · Computer Science 2020-07-22 Makis Arsenis , Odysseas Drosis , Robert Kleinberg

We consider the classical mathematical economics problem of {\em Bayesian optimal mechanism design} where a principal aims to optimize expected revenue when allocating resources to self-interested agents with preferences drawn from a known…

Computer Science and Game Theory · Computer Science 2010-01-15 Shuchi Chawla , Jason Hartline , David Malec , Balasubramanian Sivan

We consider a single buyer with a combinatorial preference that would like to purchase related products and services from different vendors, where each vendor supplies exactly one product. We study the general case where subsets of products…

Computer Science and Game Theory · Computer Science 2014-01-09 Moshe Babaioff , Noam Nisan , Renato Paes Leme

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

In a classical online decision problem, a decision-maker who is trying to maximize her value inspects a sequence of arriving items to learn their values (drawn from known distributions), and decides when to stop the process by taking the…

Data Structures and Algorithms · Computer Science 2020-05-26 Nicole Immorlica , Sahil Singla , Bo Waggoner

Internet advertisers (buyers) repeatedly procure ad impressions from ad platforms (sellers) with the aim to maximize total conversion (i.e. ad value) while respecting both budget and return-on-investment (ROI) constraints for efficient…

Computer Science and Game Theory · Computer Science 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang , Vahab Mirrokni

We initiate the study of the prophet inequality problem through the resource augmentation framework in scenarios when the values of the rewards are correlated. Our goal is to determine the number of additional rewards an online algorithm…

Machine Learning · Computer Science 2024-09-12 Tomer Ezra , Tamar Garbuz

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

Performance · Computer Science 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

We study online combinatorial auctions with production costs proposed by Blum et al. using the online primal dual framework. In this model, buyers arrive online, and the seller can produce multiple copies of each item subject to a…

Data Structures and Algorithms · Computer Science 2014-11-18 Zhiyi Huang , Anthony Kim

We study adaptive two-sided assortment optimization for revenue maximization in choice-based matching platforms. The platform has two sides of agents, an initiating side, and a responding side. The decision-maker sequentially selects agents…

Computer Science and Game Theory · Computer Science 2025-08-13 Mohammadreza Ahmadnejadsaein , Omar El Housni

Personalization and recommendations are now accepted as core competencies in just about every online setting, ranging from media platforms to e-commerce to social networks. While the challenge of estimating user preferences has garnered…

Artificial Intelligence · Computer Science 2020-11-18 Vivek F. Farias , Andrew A. Li , Deeksha Sinha
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