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Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

Computer Science and Game Theory · Computer Science 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

We consider a non-stationary variant of a sequential stochastic optimization problem, in which the underlying cost functions may change along the horizon. We propose a measure, termed variation budget, that controls the extent of said…

Probability · Mathematics 2019-06-07 O. Besbes , Y. Gur , A. Zeevi

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

Optimization and Control · Mathematics 2024-01-04 Yuya Hikima , Akiko Takeda

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

Data Structures and Algorithms · Computer Science 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

In this paper, we introduce a Bayesian revenue-maximizing mechanism design model where the items have fixed, exogenously-given prices. Buyers are unit-demand and have an ordinal ranking over purchasing either one of these items at its given…

Computer Science and Game Theory · Computer Science 2020-10-16 Will Ma

This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

Machine Learning · Computer Science 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

We consider the problem of choosing prices of a set of products so as to maximize profit, taking into account self-elasticity and cross-elasticity, subject to constraints on the prices. We show that this problem can be formulated as…

Optimization and Control · Mathematics 2026-04-30 Maximilian Schaller , Stephen Boyd

We study the problem of designing posted-price mechanisms in order to sell a single unit of a single item within a finite period of time. Motivated by real-world problems, such as, e.g., long-term rental of rooms and apartments, we assume…

Computer Science and Game Theory · Computer Science 2020-12-11 Giulia Romano , Gianluca Tartaglia , Alberto Marchesi , Nicola Gatti

Sellers in online markets face the challenge of determining the right time to sell in view of uncertain future offers. Classical stopping theory assumes that sellers have full knowledge of the value distributions, and leverage this…

Theoretical Economics · Economics 2022-06-30 Pieter Kleer , Johan van Leeuwaarden

We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

In the matroid buyback problem, an algorithm observes a sequence of bids and must decide whether to accept each bid at the moment it arrives, subject to a matroid constraint on the set of accepted bids. Decisions to reject bids are…

Computer Science and Game Theory · Computer Science 2009-11-30 Ashwinkumar B. V. , Robert Kleinberg

In display advertising, a small group of sellers and bidders face each other in up to 10 12 auctions a day. In this context, revenue maximisation via monopoly price learning is a high-value problem for sellers. By nature, these auctions are…

Machine Learning · Computer Science 2020-10-21 Lorenzo Croissant , Marc Abeille , Clément Calauzènes

In order for an e-commerce platform to maximize its revenue, it must recommend customers items they are most likely to purchase. However, the company often has business constraints on these items, such as the number of each item in stock.…

Optimization and Control · Mathematics 2019-11-19 Andrea Boskovic , Qinyi Chen , Dominik Kufel , Zijie Zhou

We study an online dynamic pricing problem where the potential demand at each time period $t=1,2,\ldots, T$ is stochastic and dependent on the price. However, a perishable inventory is imposed at the beginning of each time $t$, censoring…

Machine Learning · Statistics 2026-01-26 Jianyu Xu , Yining Wang , Xi Chen , Yu-Xiang Wang

Online bidding is a classical problem in online decision-making, with applications in resource allocation, hierarchical clustering, and the analysis of approximation algorithms. We study its randomized learning-augmented variant, where an…

Data Structures and Algorithms · Computer Science 2026-05-15 Mathis Degryse , Imrane Saakour , Christoph Dürr , Spyros Angelopoulos

We study revenue optimization learning algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation for a good and seeks to maximize his cumulative discounted…

Computer Science and Game Theory · Computer Science 2018-02-09 Alexey Drutsa

Motivated by applications where a system must remain operational via continual procurement of contracts, we study two online contract selection problems under uncertain prices. At each time step, a price drawn from a known distribution is…

Computer Science and Game Theory · Computer Science 2026-05-19 Qinge Chi , Sebastian Perez-Salazar

We investigate a variant of the so-called "Internet Shopping Problem" introduced by Blazewicz et al. (2010), where a customer wants to buy a list of products at the lowest possible total cost from shops which offer discounts when purchases…

Data Structures and Algorithms · Computer Science 2022-08-29 Laurent Bulteau , Danny Hermelin , Anthony Labarre , Stéphane Vialette

Stochastic matching is the stochastic version of the well-known matching problem, which consists in maximizing the rewards of a matching under a set of probability distributions associated with the nodes and edges. In most stochastic…

Optimization and Control · Mathematics 2024-05-01 Yuya Hikima , Yasunori Akagi , Hideaki Kim

In several applications of real-time matching of demand to supply in online marketplaces, the platform allows for some latency to batch the demand and improve the efficiency. Motivated by these applications, we study the optimal trade-off…

Data Structures and Algorithms · Computer Science 2022-12-01 Yiding Feng , Rad Niazadeh