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We study repeated bilateral trade when the valuations of the sellers and the buyers are contextual. More precisely, the agents' valuations are given by the inner product of a context vector with two unknown $d$-dimensional vectors -- one…

Computer Science and Game Theory · Computer Science 2026-02-16 Romain Cosson , Federico Fusco , Anupam Gupta , Stefano Leonardi , Renato Paes Leme , Matteo Russo

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

In today's online advertising markets, a crucial requirement for an advertiser is to control her total expenditure within a time horizon under some budget. Among various budget control methods, throttling has emerged as a popular choice,…

Computer Science and Game Theory · Computer Science 2023-12-14 Zhaohua Chen , Chang Wang , Qian Wang , Yuqi Pan , Zhuming Shi , Zheng Cai , Yukun Ren , Zhihua Zhu , Xiaotie Deng

We consider online learning in multi-player smooth monotone games. Existing algorithms have limitations such as (1) being only applicable to strongly monotone games; (2) lacking the no-regret guarantee; (3) having only asymptotic or slow…

Machine Learning · Computer Science 2023-09-06 Yang Cai , Weiqiang Zheng

We study a repeated contracting setting in which a Principal adaptively chooses amongst $k$ Agents at each of $T$ rounds. The Agents are non-myopic, and so a mechanism for the Principal induces a $T$-round extensive form game amongst the…

Computer Science and Game Theory · Computer Science 2024-02-28 Natalie Collina , Varun Gupta , Aaron Roth

We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume…

Computer Science and Game Theory · Computer Science 2024-01-25 Ioannis Caragiannis , Georgios Kalantzis

Bilateral trade is a central problem in algorithmic economics, and recent work has explored how to design trading mechanisms using no-regret learning algorithms. However, no-regret learning is impossible when budget balance has to be…

Computer Science and Game Theory · Computer Science 2025-07-16 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

In this paper, we study the non-stationary online second price auction problem. We assume that the seller is selling the same type of items in $T$ rounds by the second price auction, and she can set the reserve price in each round. In each…

Machine Learning · Computer Science 2019-11-15 Haoyu Zhao , Wei Chen

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

Machine Learning · Computer Science 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this context, the performance of a learning algorithm is often…

Computer Science and Game Theory · Computer Science 2021-10-19 Yu-Guan Hsieh , Kimon Antonakopoulos , Panayotis Mertikopoulos

We address online learning in complex auction settings, such as sponsored search auctions, where the value of the bidder is unknown to her, evolving in an arbitrary manner and observed only if the bidder wins an allocation. We leverage the…

Computer Science and Game Theory · Computer Science 2018-06-04 Zhe Feng , Chara Podimata , Vasilis Syrgkanis

We study the design of mechanisms in combinatorial auction domains. We focus on settings where the auction is repeated, motivated by auctions for licenses or advertising space. We consider models of agent behaviour in which they either…

Computer Science and Game Theory · Computer Science 2009-10-01 Brendan Lucier

In this paper, we consider the problem of sleeping bandits with stochastic action sets and adversarial rewards. In this setting, in contrast to most work in bandits, the actions may not be available at all times. For instance, some products…

Machine Learning · Computer Science 2020-08-11 Aadirupa Saha , Pierre Gaillard , Michal Valko

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

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Machine Learning · Computer Science 2025-06-19 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Christian Kroer

Recently a multi-agent variant of the classical multi-armed bandit was proposed to tackle fairness issues in online learning. Inspired by a long line of work in social choice and economics, the goal is to optimize the Nash social welfare…

Machine Learning · Computer Science 2022-09-27 Matthew Jones , Huy Lê Nguyen , Thy Nguyen

We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a…

Machine Learning · Computer Science 2025-10-09 Yahav Bechavod , Jiuyao Lu , Aaron Roth

Our paper studies the setting of players using no-regret algorithms in various two-player games. We address whether having stronger regret guarantees or playing against an opponent with weaker regret guarantees yields higher utilities for…

Computer Science and Game Theory · Computer Science 2026-04-29 R. Xu , E. Yachbes , J. Zhang

We study the question of obtaining last-iterate convergence rates for no-regret learning algorithms in multi-player games. We show that the optimistic gradient (OG) algorithm with a constant step-size, which is no-regret, achieves a…

Machine Learning · Computer Science 2020-10-27 Noah Golowich , Sarath Pattathil , Constantinos Daskalakis

In this paper, we study the problem of learning to bid in repeated first-price auctions with budget constraints. In each period, the decision maker needs to submit a bid to win the auction and maximize the total collected reward, subject to…

Optimization and Control · Mathematics 2026-03-10 Zeng Fu , Jiashuo Jiang , Yuan Zhou