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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

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

We present a new algorithm for computing pure-strategy $\varepsilon$-Bayes-Nash equilibria ($\varepsilon$-BNEs) in combinatorial auctions with continuous value and action spaces. An essential innovation of our algorithm is to separate the…

Computer Science and Game Theory · Computer Science 2021-07-05 Vitor Bosshard , Benedikt Bünz , Benjamin Lubin , Sven Seuken

Recent advances in machine learning have spurred significant interest in learning-augmented algorithms, particularly for online optimization. A growing body of work has studied online bidding in this framework, aiming to characterize the…

Data Structures and Algorithms · Computer Science 2026-05-11 Changyeol Lee , Dahoon Lee , Jongseo Lee , Yongho Shin , Changki Yun

We consider a periodic double auction (PDA) setting where buyers of the auction have multiple (but finite) opportunities to procure multiple but fixed units of a commodity. The goal of each buyer participating in such auctions is to reduce…

Systems and Control · Electrical Eng. & Systems 2023-10-05 Bharat Manvi , Easwar Subramanian

We consider the Arrow--Debreu exchange market model under the assumption that the agents' demands satisfy the weak gross substitutes (WGS) property. We present a simple auction algorithm that obtains an approximate market equilibrium for…

Computer Science and Game Theory · Computer Science 2022-05-03 Jugal Garg , Edin Husić , László A. Végh

The internet advertising market is a multi-billion dollar industry, in which advertisers buy thousands of ad placements every day by repeatedly participating in auctions. An important and ubiquitous feature of these auctions is the presence…

Computer Science and Game Theory · Computer Science 2022-10-11 Santiago Balseiro , Christian Kroer , Rachitesh Kumar

We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

Computer Science and Game Theory · Computer Science 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

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

The standard framework of online bidding algorithm design assumes that the seller commits himself to faithfully implementing the rules of the adopted auction. However, the seller may attempt to cheat in execution to increase his revenue if…

Computer Science and Game Theory · Computer Science 2023-11-28 Qian Wang , Xuanzhi Xia , Zongjun Yang , Xiaotie Deng , Yuqing Kong , Zhilin Zhang , Liang Wang , Chuan Yu , Jian Xu , Bo Zheng

We develop a novel optimization model to maximize the profit of a Demand-Side Platform (DSP) while ensuring that the budget utilization preferences of the DSP's advertiser clients are adequately met. Our model is highly flexible and can be…

Optimization and Control · Mathematics 2018-05-31 Alfonso Lobos , Paul Grigas , Zheng Wen , Kuang-chih Lee

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We focus on online second price auctions, where bids are made sequentially, and the winning bidder pays the maximum of the second-highest bid and a seller specified starting price. For many such auctions, the seller does not see all the…

Methodology · Statistics 2026-02-23 Sourav Mukherjee , Ziqian Yang , Rohit K Patra , Kshitij Khare

Bilateral trade models the problem of intermediating between two rational agents -- a seller and a buyer -- both characterized by a private valuation for an item they want to trade. We study the online learning version of the problem, in…

Computer Science and Game Theory · Computer Science 2024-09-04 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

Our paper concerns the computation of Nash equilibria of first-price auctions with correlated values. While there exist several equilibrium computation methods for auctions with independent values, the correlation of the bidders' values…

Computer Science and Game Theory · Computer Science 2021-08-11 Benjamin Heymann , Panayotis Mertikopoulos

We examine trade-offs among stakeholders in ad auctions. Our metrics are the revenue for the utility of the auctioneer, the number of clicks for the utility of the users and the welfare for the utility of the advertisers. We show how to…

Computer Science and Game Theory · Computer Science 2014-04-22 Yoram Bachrach , Sofia Ceppi , Ian A. Kash , Peter Key , David Kurokawa

Auctions are important mechanisms extensively implemented in various markets, e.g., search engines' keyword auctions, antique auctions, etc. Finding an optimal auction mechanism is extremely difficult due to the constraints of imperfect…

Machine Learning · Computer Science 2025-07-28 Jiayin Liu , Chenglong Zhang

The common way to optimize auction and pricing systems is to set aside a small fraction of the traffic to run experiments. This leads to the question: how can we learn the most with the smallest amount of data? For truthful auctions, this…

Computer Science and Game Theory · Computer Science 2021-11-09 Renato Paes Leme , Balasubramanian Sivan , Yifeng Teng , Pratik Worah

We establish nonparametric identification of auction models with continuous and nonseparable unobserved heterogeneity using three consecutive order statistics of bids. We then propose sieve maximum likelihood estimators for the joint…

Econometrics · Economics 2022-10-10 Yao Luo , Peijun Sang , Ruli Xiao

This paper describes an engine to optimize web publisher revenues from second-price auctions. These auctions are widely used to sell online ad spaces in a mechanism called real-time bidding (RTB). Optimization within these auctions is…

Computer Science and Game Theory · Computer Science 2020-06-15 Pedro Chahuara , Nicolas Grislain , Grégoire Jauvion , Jean-Michel Renders