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The study of repeated interactions between a learner and a utility-maximizing optimizer has yielded deep insights into the manipulability of learning algorithms. However, existing literature primarily focuses on independent, unlinked…

Computer Science and Game Theory · Computer Science 2026-04-10 Giannis Fikioris , Balasubramanian Sivan , Éva Tardos

We consider the problem of learning from revealed preferences in an online setting. In our framework, each period a consumer buys an optimal bundle of goods from a merchant according to her (linear) utility function and current prices,…

Data Structures and Algorithms · Computer Science 2014-12-02 Kareem Amin , Rachel Cummings , Lili Dworkin , Michael Kearns , Aaron Roth

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

A Stackelberg game is played between a leader and a follower. The leader first chooses an action, then the follower plays his best response. The goal of the leader is to pick the action that will maximize his payoff given the follower's…

Data Structures and Algorithms · Computer Science 2015-11-19 Aaron Roth , Jonathan Ullman , Zhiwei Steven Wu

We study a repeated game between a supplier and a retailer who want to maximize their respective profits without full knowledge of the problem parameters. After characterizing the uniqueness of the Stackelberg equilibrium of the stage game…

Computer Science and Game Theory · Computer Science 2022-07-12 Nicolò Cesa-Bianchi , Tommaso Cesari , Takayuki Osogami , Marco Scarsini , Segev Wasserkrug

Selling a single item to $n$ self-interested buyers is a fundamental problem in economics, where the two objectives typically considered are welfare maximization and revenue maximization. Since the optimal mechanisms are often impractical…

Computer Science and Game Theory · Computer Science 2024-11-06 Billy Jin , Thomas Kesselheim , Will Ma , Sahil Singla

Inspired by real-time ad exchanges for online display advertising, we consider the problem of inferring a buyer's value distribution for a good when the buyer is repeatedly interacting with a seller through a posted-price mechanism. We…

Machine Learning · Computer Science 2013-11-28 Kareem Amin , Afshin Rostamizadeh , Umar Syed

We consider the practical and classical setting where the seller is using an exploration stage to learn the value distributions of the bidders before running a revenue-maximizing auction in a exploitation phase. In this two-stage process,…

Computer Science and Game Theory · Computer Science 2019-05-31 Clément Calauzènes , Thomas Nedelec , Vianney Perchet , Noureddine El Karoui

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

Computer Science and Game Theory · Computer Science 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

We investigate brokerage between traders from an online learning perspective. At any round $t$, two traders arrive with their private valuations, and the broker proposes a trading price. Unlike other bilateral trade problems already studied…

Machine Learning · Computer Science 2023-10-19 Nataša Bolić , Tommaso Cesari , Roberto Colomboni

We introduce the application of online learning in a Stackelberg game pertaining to a system with two learning agents in a dyadic exchange network, consisting of a supplier and retailer, specifically where the parameters of the demand…

Computational Engineering, Finance, and Science · Computer Science 2024-10-15 Larkin Liu , Yuming Rong

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

A ubiquitous learning problem in today's digital market is, during repeated interactions between a seller and a buyer, how a seller can gradually learn optimal pricing decisions based on the buyer's past purchase responses. A fundamental…

Computer Science and Game Theory · Computer Science 2021-10-06 Quinlan Dawkins , Minbiao Han , Haifeng Xu

We consider the revenue maximization problem for an online retailer who plans to display in order a set of products differing in their prices and qualities. Consumers have attention spans, i.e., the maximum number of products they are…

Machine Learning · Computer Science 2025-11-11 Ningyuan Chen , Anran Li , Shuoguang Yang

We address the problem of improving bidders' strategies in prior-dependent revenue-maximizing auctions and introduce a simple and generic method to design novel bidding strategies if the seller uses past bids to optimize her mechanism. We…

Computer Science and Game Theory · Computer Science 2021-09-15 Thomas Nedelec , Marc Abeille , Clément Calauzènes , Benjamin Heymann , Vianney Perchet , Noureddine El Karoui

We study an online linear classification problem, in which the data is generated by strategic agents who manipulate their features in an effort to change the classification outcome. In rounds, the learner deploys a classifier, and an…

Machine Learning · Computer Science 2017-10-24 Jinshuo Dong , Aaron Roth , Zachary Schutzman , Bo Waggoner , Zhiwei Steven Wu

We consider a setting where $n$ buyers, with combinatorial preferences over $m$ items, and a seller, running a priority-based allocation mechanism, repeatedly interact. Our goal, from observing limited information about the results of these…

Computer Science and Game Theory · Computer Science 2014-08-29 Avrim Blum , Yishay Mansour , Jamie Morgenstern

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

We propose a new architecture to approximately learn incentive compatible, revenue-maximizing auctions from sampled valuations. Our architecture uses the Sinkhorn algorithm to perform a differentiable bipartite matching which allows the…

Computer Science and Game Theory · Computer Science 2021-06-16 Michael J. Curry , Uro Lyi , Tom Goldstein , John Dickerson

One-max search is a classic problem in online decision-making, in which a trader acts on a sequence of revealed prices and accepts one of them irrevocably to maximise its profit. The problem has been studied both in probabilistic and in…

Data Structures and Algorithms · Computer Science 2025-02-11 Ziyad Benomar , Lorenzo Croissant , Vianney Perchet , Spyros Angelopoulos
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