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We study deterministic, discrete linear time-invariant systems with infinite-horizon discounted quadratic cost. It is well-known that standard stabilizability and detectability properties are not enough in general to conclude stability…

Optimization and Control · Mathematics 2025-09-04 Jonathan de Brusse , Jamal Daafouz , Mathieu Granzotto , Romain Postoyan , Dragan Nesic

I consider a setting where reviewers offer very noisy scores for several items for the selection of high-quality ones (e.g., peer review of large conference proceedings), whereas the owner of these items knows the true underlying scores but…

Machine Learning · Computer Science 2022-06-20 Weijie J. Su

We consider the problem of online learning of optimal control for repeatedly operated systems in the presence of parametric uncertainty. During each round of operation, environment selects system parameters according to a fixed but unknown…

Machine Learning · Computer Science 2016-09-20 Theja Tulabandhula

In this research, we study the problem that a collector acquires items from the owner based on the item qualities the owner declares and an independent appraiser's assessments. The owner is interested in maximizing the probability that the…

Computer Science and Game Theory · Computer Science 2024-02-23 Liang Shan , Shuo Zhang , Jie Zhang , Zihe Wang

In the Learning to Price setting, a seller posts prices over time with the goal of maximizing revenue while learning the buyer's valuation. This problem is very well understood when values are stationary (fixed or iid). Here we study the…

Computer Science and Game Theory · Computer Science 2021-06-10 Renato Paes Leme , Balasubramanian Sivan , Yifeng Teng , Pratik Worah

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

Machine Learning · Statistics 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

We study the revenue maximization problem of a seller with n heterogeneous items for sale to a single buyer whose valuation function for sets of items is unknown and drawn from some distribution D. We show that if D is a distribution over…

Computer Science and Game Theory · Computer Science 2018-07-05 Aviad Rubinstein , S. Matthew Weinberg

Rankings are the primary interface through which many online platforms match users to items (e.g. news, products, music, video). In these two-sided markets, not only the users draw utility from the rankings, but the rankings also determine…

Information Retrieval · Computer Science 2020-06-01 Marco Morik , Ashudeep Singh , Jessica Hong , Thorsten Joachims

Multi-item mechanisms can be very complex offering many different bundles to the buyer that could even be randomized. Such complexity is thought to be necessary as the revenue gaps between randomized and deterministic mechanisms, or…

Computer Science and Game Theory · Computer Science 2019-07-03 Shuchi Chawla , Yifeng Teng , Christos Tzamos

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

Machine Learning · Computer Science 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan

We consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

Computer Science and Game Theory · Computer Science 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

For product rating environments, similar to that of Amazon Reviews, it has been shown that the truthful elicitation of feedback is possible through mechanisms which pay buyer reports contingent on the reports of other buyers. We study…

Computer Science and Game Theory · Computer Science 2012-03-19 Jens Witkowski

Most learning algorithms with formal regret guarantees assume that all mistakes are recoverable and essentially rely on trying all possible behaviors. This approach is problematic when some mistakes are "catastrophic", i.e., irreparable. We…

Machine Learning · Computer Science 2025-08-07 Benjamin Plaut , Hanlin Zhu , Stuart Russell

We study dynamic mechanisms for optimizing revenue in repeated auctions, that are robust to heterogeneous forward-looking and learning behavior of the buyers. Typically it is assumed that the buyers are either all myopic or are all infinite…

Computer Science and Game Theory · Computer Science 2019-06-11 Shipra Agrawal , Eric Balkanski , Vahab Mirrokni , Balasubramanian Sivan

A fundamental economic question is that of designing revenue-maximizing mechanisms in dynamic environments. This paper considers a simple yet compelling market model to tackle this question, where forward-looking buyers arrive at the market…

Theoretical Economics · Economics 2024-10-16 Jose Correa , Andres Cristi , Laura Vargas Koch

We consider the problem of estimating the expected value of information (the knowledge gradient) for Bayesian learning problems where the belief model is nonlinear in the parameters. Our goal is to maximize some metric, while simultaneously…

Machine Learning · Statistics 2016-11-23 Xinyu He , Warren B. Powell

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn

We study how a budget-constrained bidder should learn to adaptively bid in repeated first-price auctions to maximize her cumulative payoff. This problem arose due to an industry-wide shift from second-price auctions to first-price auctions…

Computer Science and Game Theory · Computer Science 2026-04-14 Yige Wang , Jiashuo Jiang

Minimizing volatility and adjustment costs is of central importance in many economic environments, yet it is often complicated by evolving feasibility constraints. We study a decision maker who repeatedly selects an action from a…

Theoretical Economics · Economics 2026-02-18 Simon Jantschgi , Heinrich H. Nax , Bary S. R. Pradelski , Marek Pycia