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We study online bilateral trade, where a learner facilitates repeated exchanges between a buyer and a seller to maximize the Gain From Trade (GFT), i.e., the social welfare. In doing so, the learner must guarantee not to subsidize the…

Computer Science and Game Theory · Computer Science 2026-02-06 Anna Lunghi , Mattia Piccinato , Matteo Castiglioni , Alberto Marchesi

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 consider a sequential decision-making setting where, at every round $t$, a market maker posts a bid price $B_t$ and an ask price $A_t$ to an incoming trader (the taker) with a private valuation for one unit of some asset. If the trader's…

Computer Science and Game Theory · Computer Science 2025-06-18 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Luigi Foscari , Vinayak Pathak

The display advertising industry has recently transitioned from second- to first-price auctions as its primary mechanism for ad allocation and pricing. In light of this, publishers need to re-evaluate and optimize their auction parameters,…

Computer Science and Game Theory · Computer Science 2020-06-30 Zhe Feng , Sébastien Lahaie , Jon Schneider , Jinchao Ye

Recent advances, such as RegretNet, ALGnet, RegretFormer and CITransNet, use deep learning to approximate optimal multi item auctions by relaxing incentive compatibility (IC) and measuring its violation via ex post regret. However, the true…

Computer Science and Game Theory · Computer Science 2026-01-21 Shuyuan You , Zhiqiang Zhuang , Kewen Wang , Zhe Wang

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

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

We study the online learning problem of a bidder who participates in repeated auctions. With the goal of maximizing his T-period payoff, the bidder determines the optimal allocation of his budget among his bids for $K$ goods at each period.…

Computer Science and Game Theory · Computer Science 2017-11-20 Sevi Baltaoglu , Lang Tong , Qing Zhao

Since 2019, most ad exchanges and sell-side platforms (SSPs), in the online advertising industry, shifted from second to first price auctions. Due to the fundamental difference between these auctions, demand-side platforms (DSPs) have had…

We study a repeated trading problem in which a mechanism designer facilitates trade between a single seller and multiple buyers. Our model generalizes the classic bilateral trade setting to a multi-buyer environment. Specifically, the…

Computer Science and Game Theory · Computer Science 2025-03-04 Anna Lunghi , Matteo Castiglioni , Alberto Marchesi

We consider a combinatorial multi-armed bandit problem for maximum value reward function under maximum value and index feedback. This is a new feedback structure that lies in between commonly studied semi-bandit and full-bandit feedback…

Machine Learning · Computer Science 2023-05-26 Yiliu Wang , Wei Chen , Milan Vojnović

It is a common practice in the current literature of electricity markets to use game-theoretic approaches for strategic price bidding. However, they generally rely on the assumption that the strategic bidders have prior knowledge of rival…

Computer Science and Game Theory · Computer Science 2024-04-05 Arega Getaneh Abate , Dorsa Majdi , Jalal Kazempour , Maryam Kamgarpour

In the contextual pricing problem a seller repeatedly obtains products described by an adversarially chosen feature vector in $\mathbb{R}^d$ and only observes the purchasing decisions of a buyer with a fixed but unknown linear valuation…

Data Structures and Algorithms · Computer Science 2021-02-25 Allen Liu , Renato Paes Leme , Jon Schneider

We study the problem of incentive-compatible online learning with bandit feedback. In this class of problems, the experts are self-interested agents who might misrepresent their preferences with the goal of being selected most often. The…

Machine Learning · Computer Science 2024-05-13 Julian Zimmert , Teodor V. Marinov

Online Budgeted Matching (OBM) is a classic problem with important applications in online advertising, online service matching, revenue management, and beyond. Traditional online algorithms typically assume a small bid setting, where the…

Computer Science and Game Theory · Computer Science 2024-11-15 Jianyi Yang , Pengfei Li , Adam Wierman , Shaolei Ren

The growing demand for data and AI-generated digital goods, such as personalized written content and artwork, necessitates effective pricing and feedback mechanisms that account for uncertain utility and costly production. Motivated by…

Computer Science and Game Theory · Computer Science 2023-06-06 Zachary Robertson , Oluwasanmi Koyejo

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 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

RegretNet is a recent breakthrough in the automated design of revenue-maximizing auctions. It combines the flexibility of deep learning with the regret-based approach to relax the Incentive Compatibility (IC) constraint (that participants…

Machine Learning · Computer Science 2022-11-01 Dmitry Ivanov , Iskander Safiulin , Igor Filippov , Ksenia Balabaeva

We study online fair division when there are a finite number of item types and the player values for the items are drawn randomly from distributions with unknown means. In this setting, a sequence of indivisible items arrives according to a…

Computer Science and Game Theory · Computer Science 2025-01-14 Benjamin Schiffer , Shirley Zhang