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Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been a lot of attention on the auction process and its game-theoretic aspects, our focus is on the advertisers. In particular,…

Data Structures and Algorithms · Computer Science 2007-05-23 Jon Feldman , S. Muthukrishnan , Martin Pal , Cliff Stein

We study online learning in repeated first-price auctions where a bidder, only observing the winning bid at the end of each auction, learns to adaptively bid in order to maximize her cumulative payoff. To achieve this goal, the bidder faces…

Machine Learning · Computer Science 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

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

Learning effective pricing strategies is crucial in digital marketplaces, especially when buyers' valuations are unknown and must be inferred through interaction. We study the online contextual pricing problem, where a seller observes a…

Computer Science and Game Theory · Computer Science 2026-02-18 Joon Suk Huh , Kirthevasan Kandasamy

The current art in optimal combinatorial auctions is limited to handling the case of single units of multiple items, with each bidder bidding on exactly one bundle (single minded bidders). This paper extends the current art by proposing an…

Computer Science and Game Theory · Computer Science 2010-04-27 Sujit Gujar , Y Narahari

We analyze the problem of how to optimally bid for ad spaces in online ad auctions. For this we consider the general case of multiple ad campaigns with overlapping targeting criteria. In our analysis we first characterize the structure of…

Optimization and Control · Mathematics 2020-04-16 Erik Tillberg , Peter Marbach , Ravi Mazumdar

In pay-per click sponsored search auctions which are currently extensively used by search engines, the auction for a keyword involves a certain number of advertisers (say k) competing for available slots (say m) to display their ads. This…

Computer Science and Game Theory · Computer Science 2010-01-17 Akash Das Sarma , Sujit Gujar , Y. Narahari

Distributed energy resources (DERs), such as rooftop solar panels, are growing rapidly and are reshaping power systems. To promote DERs, feed-in-tariff (FIT) is usually adopted by utilities to pay DER owners certain fixed rates for…

Computer Science and Game Theory · Computer Science 2021-10-22 Zibo Zhao , Chen Feng , Andrew L. Lu

We consider multi-objective reinforcement learning problems where objectives come from an identical family -- such as the class of reachability objectives -- and may appear or disappear at runtime. Our goal is to design adaptive policies…

Machine Learning · Computer Science 2026-05-12 Guruprerana Shabadi , Kaushik Mallik

We introduce a new numerical framework to learn optimal bidding strategies in repeated auctions when the seller uses past bids to optimize her mechanism. Crucially, we do not assume that the bidders know what optimization mechanism is used…

Computer Science and Game Theory · Computer Science 2021-02-09 Thomas Nedelec , Jules Baudet , Vianney Perchet , Noureddine El Karoui

We study a class of iterative combinatorial auctions which can be viewed as subgradient descent methods for the problem of pricing bundles to balance supply and demand. We provide concrete convergence rates for auctions in this class,…

Computer Science and Game Theory · Computer Science 2016-06-01 Jacob Abernethy , Sébastien Lahaie , Matus Telgarsky

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

Motivated by online advertising auctions, we consider repeated Vickrey auctions where goods of unknown value are sold sequentially and bidders only learn (potentially noisy) information about a good's value once it is purchased. We adopt an…

Computer Science and Game Theory · Computer Science 2015-11-19 Jonathan Weed , Vianney Perchet , Philippe Rigollet

We improve the best known competitive ratio (from 1/4 to 1/2), for the online multi-unit allocation problem, where the objective is to maximize the single-price revenue. Moreover, the competitive ratio of our algorithm tends to 1, as the…

Computer Science and Game Theory · Computer Science 2009-01-13 Sourav Chakraborty , Nikhil Devanur

In this paper, we study how a budget-constrained bidder should learn to bid adaptively in repeated first-price auctions to maximize cumulative payoff. This problem arises from the recent industry-wide shift from second-price auctions to…

Computer Science and Game Theory · Computer Science 2026-04-14 Yige Wang , Jiashuo Jiang

We study online learning in contextual pay-per-click auctions where at each of the $T$ rounds, the learner receives some context along with a set of ads and needs to make an estimate on their click-through rate (CTR) in order to run a…

Machine Learning · Computer Science 2023-10-10 Mengxiao Zhang , Haipeng Luo

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

In this paper, we consider the problem of designing incentive compatible auctions for multiple (homogeneous) units of a good, when bidders have private valuations and private budget constraints. When only the valuations are private and the…

Computer Science and Game Theory · Computer Science 2009-04-23 Sayan Bhattacharya , Vincent Conitzer , Kamesh Munagala , Lirong Xia

Combinatorial auctions are used to allocate resources in domains where bidders have complex preferences over bundles of goods. However, the behavior of bidders under different payment rules is not well understood, and there has been limited…

Computer Science and Game Theory · Computer Science 2022-06-09 Vitor Bosshard , Ye Wang , Sven Seuken

Simultaneous item auctions are simple procedures for allocating items to bidders with potentially complex preferences over different item sets. In a simultaneous auction, every bidder submits bids on all items simultaneously. The allocation…

Computer Science and Game Theory · Computer Science 2012-09-24 Michal Feldman , Hu Fu , Nick Gravin , Brendan Lucier