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The effectiveness of advertising in e-commerce largely depends on the ability of merchants to bid on and win impressions for their targeted users. The bidding procedure is highly complex due to various factors such as market competition,…

Information Retrieval · Computer Science 2023-12-29 Artem Betlei , Mariia Vladimirova , Mehdi Sebbar , Nicolas Urien , Thibaud Rahier , Benjamin Heymann

We present a number of models for the adword auctions used for pricing advertising slots on search engines such as Google, Yahoo! etc. We begin with a general problem formulation which allows the privately known valuation per click to be a…

Computer Science and Game Theory · Computer Science 2007-05-23 Garud Iyengar , Anuj Kumar

In a multiple-object auction, every bidder tries to win as many objects as possible with a bidding algorithm. This paper studies position-randomized auctions, which form a special class of multiple-object auctions where a bidding algorithm…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Yuyu Chen , Ming-Yang Kao , Hsueh-I Lu

In many repeated auction settings, participants care not only about how frequently they win but also how their winnings are distributed over time. This problem arises in various practical domains where avoiding congested demand is crucial,…

Computer Science and Game Theory · Computer Science 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos

We consider the problem of designing optimal online-ad investment strategies for a single advertiser, who invests at multiple sponsored search sites simultaneously, with the objective of maximizing his average revenue subject to the…

Systems and Control · Computer Science 2014-03-25 Longbo Huang

We study a class of procurement auctions with a budget constraint, where an auctioneer is interested in buying resources or services from a set of agents. Ideally, the auctioneer would like to select a subset of the resources so as to…

Computer Science and Game Theory · Computer Science 2017-10-10 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

Budget pacing is a popular service that has been offered by major internet advertising platforms since their inception. Budget pacing systems seek to optimize advertiser returns subject to budget constraints by smoothly spending advertiser…

Computer Science and Game Theory · Computer Science 2023-12-18 Santiago R. Balseiro , Kshipra Bhawalkar , Zhe Feng , Haihao Lu , Vahab Mirrokni , Balasubramanian Sivan , Di Wang

Motivated by the dynamic assortment offerings and item pricings occurring in e-commerce, we study a general problem of allocating finite inventories to heterogeneous customers arriving sequentially. We analyze this problem under the…

Data Structures and Algorithms · Computer Science 2019-05-14 Will Ma , David Simchi-Levi

In this paper, we initiate the study of the multiplicative bidding language adopted by major Internet search companies. In multiplicative bidding, the effective bid on a particular search auction is the product of a base bid and bid…

Data Structures and Algorithms · Computer Science 2014-04-29 MohammadHossein Bateni , Jon Feldman , Vahab Mirrokni , Sam Chiu-wai Wong

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 online marketing, the advertisers aim to balance achieving high volumes and high profitability. The companies' business units address this tradeoff by maximizing the volumes while guaranteeing a minimum Return On Investment (ROI) level.…

Machine Learning · Computer Science 2025-12-05 Matteo Castiglioni , Alessandro Nuara , Giulia Romano , Giorgio Spadaro , Francesco Trovò , Nicola Gatti

Auto-bidding systems are widely used in advertising to automatically determine bid values under constraints such as total budget and Return-on-Spend (RoS) targets. Existing works often assume that the value of an ad impression, such as the…

Machine Learning · Computer Science 2026-02-03 Jiale Han , Chun Gan , Chengcheng Zhang , Jie He , Zhangang Lin , Ching Law , Xiaowu Dai

Developing efficient sequential bidding strategies for repeated auctions is an important practical challenge in various marketing tasks. In this setting, the bidding agent obtains information, on both the value of the item at sale and the…

Machine Learning · Computer Science 2021-03-01 Juliette Achddou , Olivier Cappé , Aurélien Garivier

In cost-per-click (CPC) or cost-per-impression (CPM) advertising campaigns, advertisers always run the risk of spending the budget without getting enough conversions. Moreover, the bidding on advertising inventory has few connections with…

Information Retrieval · Computer Science 2022-12-29 Deguang Kong , Konstantin Shmakov , Jian Yang

In modern advertising platforms, learning algorithms are deployed by budget-constrained bidders to maximize their accumulated value. These algorithms often offer classical utility guarantees like no-regret, i.e., the agent's utility is at…

Computer Science and Game Theory · Computer Science 2026-02-23 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Yishay Mansour , Eva Tardos

Online resource allocation problems are central challenges in economics and computer science, modeling situations in which $n$ items arriving one at a time must each be immediately allocated among $m$ agents. In such problems, our objective…

Data Structures and Algorithms · Computer Science 2025-10-14 Kalen Patton

We study envy-free pricing mechanisms in matching markets with $m$ items and $n$ budget constrained buyers. Each buyer is interested in a subset of the items on sale, and she appraises at some single-value every item in her preference-set.…

Computer Science and Game Theory · Computer Science 2016-10-31 Riccardo Colini-Baldeschi , Stefano Leonardi , Qiang Zhang

The optimization of bidding strategies for online advertising slot auctions presents a critical challenge across numerous digital marketplaces. A significant obstacle to the development, evaluation, and refinement of real-time autobidding…

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

We study a type of reverse (procurement) auction problems in the presence of budget constraints. The general algorithmic problem is to purchase a set of resources, which come at a cost, so as not to exceed a given budget and at the same…

Computer Science and Game Theory · Computer Science 2016-10-05 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis