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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

We study dynamic pricing where a seller repeatedly interacts with a strategic, non-myopic buyer who has a fixed private valuation and discounts future utility. Prior work focused exclusively on posted-price mechanisms, which only extract…

Computer Science and Game Theory · Computer Science 2026-04-28 Shiliang Zuo

We study regret minimization in repeated first-price auctions (FPAs), where a bidder observes only the realized outcome after each auction -- win or loss. This setup reflects practical scenarios in online display advertising where the…

Machine Learning · Computer Science 2026-03-19 Yuxiao Wen , Yanjun Han , Zhengyuan Zhou

Shilling is the use of artificial bids to make competition appear stronger and push prices upward. We study repeated first-price auctions in which shilling affects feedback but not allocation: the learner wins or loses against the real…

Machine Learning · Statistics 2026-05-22 Luigi Foscari , Matilde Tullii , Vianney Perchet

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 study reserve price optimization in multi-phase second price auctions, where the seller's prior actions affect the bidders' later valuations through a Markov Decision Process (MDP). Compared to the bandit setting in existing works, the…

Machine Learning · Computer Science 2026-03-04 Rui Ai , Boxiang Lyu , Zhaoran Wang , Zhuoran Yang , Michael I. Jordan

The convergence properties of learning dynamics in repeated auctions is a timely and important question, with numerous applications in, e.g., online advertising markets. This work focuses on repeated first-price auctions where bidders with…

Computer Science and Game Theory · Computer Science 2025-08-21 Xiaotie Deng , Xinyan Hu , Tao Lin , Weiqiang Zheng

We analyze a scenario in which software agents implemented as regret-minimizing algorithms engage in a repeated auction on behalf of their users. We study first-price and second-price auctions, as well as their generalized versions (e.g.,…

Computer Science and Game Theory · Computer Science 2022-03-28 Yoav Kolumbus , Noam Nisan

Second-price auctions with reserve play a critical role for modern search engine and popular online sites since the revenue of these companies often directly de- pends on the outcome of such auctions. The choice of the reserve price is the…

Machine Learning · Computer Science 2014-12-03 Mehryar Mohri , Andres Muñoz Medina

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

Computer Science and Game Theory · Computer Science 2024-11-12 Rigel Galgana , Negin Golrezaei

We study a general class of repeated auctions, such as the ones found in electricity markets, as multi-agent games between the bidders. In such a repeated setting, bidders can adapt their strategies online based on the data observed in the…

Computer Science and Game Theory · Computer Science 2021-07-14 Orcun Karaca , Pier Giuseppe Sessa , Anna Leidi , Maryam Kamgarpour

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

Auctions are becoming an increasingly popular method for transacting business, especially over the Internet. This article presents a general approach to building autonomous bidding agents to bid in multiple simultaneous auctions for…

Artificial Intelligence · Computer Science 2011-06-28 J. A. Csirik , M. L. Littman , D. McAllester , R. E. Schapire , P. Stone

Advertisers increasingly use automated bidding to optimize their ad campaigns on online advertising platforms. Autobidding optimizes an advertiser's objective subject to various constraints, e.g. average ROI and budget constraints. In this…

Computer Science and Game Theory · Computer Science 2024-04-16 Gagan Aggarwal , Giannis Fikioris , Mingfei Zhao

We study repeated bilateral trade where an adaptive $\sigma$-smooth adversary generates the valuations of sellers and buyers. We provide a complete characterization of the regret regimes for fixed-price mechanisms under different feedback…

Machine Learning · Computer Science 2024-02-20 Nicolò Cesa-Bianchi , Tommaso Cesari , Roberto Colomboni , Federico Fusco , Stefano Leonardi

This paper studies Vickrey first-price auctions under binary feedback. Leveraging the enhanced performance of machine learning algorithms, the new algorithm uses past information to improve the regret bounds of the BROAD-OMD algorithm.…

Machine Learning · Computer Science 2025-07-09 Jason Tandiary

We study the aggregate welfare and individual regret guarantees of dynamic \emph{pacing algorithms} in the context of repeated auctions with budgets. Such algorithms are commonly used as bidding agents in Internet advertising platforms,…

Computer Science and Game Theory · Computer Science 2026-01-06 Jason Gaitonde , Yingkai Li , Bar Light , Brendan Lucier , Aleksandrs Slivkins

We study revenue optimization in a repeated auction between a single seller and a single buyer. Traditionally, the design of repeated auctions requires strong modeling assumptions about the bidder behavior, such as it being myopic, infinite…

Computer Science and Game Theory · Computer Science 2019-03-12 Shipra Agrawal , Constantinos Daskalakis , Vahab Mirrokni , Balasubramanian Sivan

Auctions with partially-revealed information about items are broadly employed in real-world applications, but the underlying mechanisms have limited theoretical support. In this work, we study a machine learning formulation of these types…

Machine Learning · Computer Science 2022-07-06 Wenshuo Guo , Michael I. Jordan , Ellen Vitercik

Simultaneous ascending auctions present agents with the exposure problem: bidding to acquire a bundle risks the possibility of obtaining an undesired subset of the goods. Auction theory provides little guidance for dealing with this…

Computer Science and Game Theory · Computer Science 2012-07-09 Anna Osepayshvili , Michael P. Wellman , Daniel Reeves , Jeffrey K. MacKie-Mason