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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

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 multi-unit auctions in which bidders have limited knowledge of opponent strategies and values. We characterize optimal prior-free bids; these bids minimize the maximal loss in expected utility resulting from uncertainty surrounding…

Theoretical Economics · Economics 2023-05-02 Bernhard Kasberger , Kyle Woodward

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

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

We study a seller who sells a single good to multiple bidders with uncertainty over the joint distribution of bidders' valuations, as well as bidders' higher-order beliefs about their opponents. The seller only knows the (possibly…

Theoretical Economics · Economics 2022-02-16 Ethan Che

We study the problem of learning revenue-optimal multi-bidder auctions from samples when the samples of bidders' valuations can be adversarially corrupted or drawn from distributions that are adversarially perturbed. First, we prove tight…

Computer Science and Game Theory · Computer Science 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

Online auction scenarios, such as bidding searches on advertising platforms, often require bidders to participate repeatedly in auctions for identical or similar items. Most previous studies have only considered the process by which the…

Computer Science and Game Theory · Computer Science 2024-02-28 Yudong Hu , Congying Han , Tiande Guo , Hao Xiao

We consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

Computer Science and Game Theory · Computer Science 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

We consider the problem of learning optimal reserve price in repeated auctions against non-myopic bidders, who may bid strategically in order to gain in future rounds even if the single-round auctions are truthful. Previous algorithms,…

Computer Science and Game Theory · Computer Science 2018-05-01 Zhiyi Huang , Jinyan Liu , Xiangning Wang

We study the optimal behavior of a bidder in a real-time auction subject to the requirement that a specified collections of heterogeneous items be acquired within given time constraints. The problem facing this bidder is cast as a…

Computational Engineering, Finance, and Science · Computer Science 2021-11-17 Ryan J. Kinnear , Ravi R. Mazumdar , Peter Marbach

We study revenue optimization pricing algorithms for repeated posted-price auctions where a seller interacts with a single strategic buyer that holds a fixed private valuation. We show that, in the case when both the seller and the buyer…

Computer Science and Game Theory · Computer Science 2018-05-08 Arsenii Vanunts , Alexey Drutsa

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

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 model a procurement scenario in which two \textit{imperfect} bidders act simultaneously on behalf of a single buyer, a configuration common in display advertising and referred to as \textit{side-by-side bidding} but largely unexplored in…

Computer Science and Game Theory · Computer Science 2025-12-05 Benjamin Heymann

In this paper, we introduce a novel, non-recursive, maximal matching algorithm for double auctions, which aims to maximize the amount of commodities to be traded. It differs from the usual equilibrium matching, which clears a market at the…

Computer Science and Game Theory · Computer Science 2013-04-12 Jinzhong Niu , Simon Parsons

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

We revisit the problem of designing the profit-maximizing single-item auction, solved by Myerson in his seminal paper for the case in which bidder valuations are independently distributed. We focus on general joint distributions, seeking…

Computer Science and Game Theory · Computer Science 2012-05-15 Christos Papadimitriou , George Pierrakos

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

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
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