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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

Auctions for perishable goods such as internet ad inventory need to make real-time allocation and pricing decisions as the supply of the good arrives in an online manner, without knowing the entire supply in advance. These allocation and…

Computer Science and Game Theory · Computer Science 2012-10-05 Gagan Goel , Vahab Mirrokni , Renato Paes Leme

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 the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

This paper studies mechanism design for auctions with externalities on budgets, a novel setting where the budgets that bidders commit are adjusted due to the externality of the competitors' allocation outcomes-a departure from traditional…

Computer Science and Game Theory · Computer Science 2025-04-22 Yusen Zheng , Yukun Cheng , Chenyang Xu , Xiaotie Deng

Throttling is a popular method of budget management for online ad auctions in which the platform modulates the participation probability of an advertiser in order to smoothly spend her budget across many auctions. In this work, we…

Computer Science and Game Theory · Computer Science 2023-02-07 Xi Chen , Christian Kroer , Rachitesh Kumar

Constraints on agent's ability to pay play a major role in auction design for any setting where the magnitude of financial transactions is sufficiently large. Those constraints have been traditionally modeled in mechanism design as…

Computer Science and Game Theory · Computer Science 2014-04-22 Gagan Goel , Vahab Mirrokni , Renato Paes Leme

We study the equilibria of uniform price auctions where many asymmetric bidders have flat demands up to their respective quantity constraints. We present an iterative procedure that systematically finds an equilibrium outcome as well as an…

Theoretical Economics · Economics 2026-04-09 Kiho Yoon

In this paper, we present a new model and two mechanisms for auctions in two-sided markets of buyers and sellers, where budget constraints are imposed on buyers. Our model incorporates polymatroidal environments, and is applicable to a wide…

Computer Science and Game Theory · Computer Science 2018-09-17 Hiroshi Hirai , Ryosuke Sato

We study the efficiency guarantees in the simple auction environment where the auctioneer has one unit of divisible good to be distributed among a number of budget constrained agents. With budget constraints, the social welfare cannot be…

Computer Science and Game Theory · Computer Science 2015-02-16 Pinyan Lu , Tao Xiao

We study the liquid welfare in sequential first-price auctions with budget-limited buyers. We focus on first-price auctions, which are increasingly commonly used in many settings, and consider liquid welfare, a natural and well-studied…

Computer Science and Game Theory · Computer Science 2024-05-15 Giannis Fikioris , Éva Tardos

Internet ad auctions have evolved from a few lines of text to richer informational layouts that include images, sitelinks, videos, etc. Ads in these new formats occupy varying amounts of space, and an advertiser can provide multiple…

Computer Science and Game Theory · Computer Science 2022-06-08 Gagan Aggarwal , Kshipra Bhawalkar , Aranyak Mehta , Divyarthi Mohan , Alexandros Psomas

In this paper, we study sequential auctions with two budget constrained bidders and any number of identical items. All prior results on such auctions consider only two items. We construct a canonical outcome of the auction that is the only…

Computer Science and Game Theory · Computer Science 2012-09-11 Zhiyi Huang , Nikhil R. Devanur , David Malec

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

We address auctions in two-sided markets with budget constraints on buyers, a fundamental setting also crucial for applications such as display advertising. Our goal is to design efficient mechanisms that satisfy dominant strategy incentive…

Computer Science and Game Theory · Computer Science 2024-11-05 Ryosuke Sato

We study how a budget-constrained bidder should learn to adaptively bid in repeated first-price auctions to maximize her cumulative payoff. This problem arose due to an industry-wide shift from second-price auctions to first-price auctions…

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

With the growth of networks, promoting products through social networks has become an important problem. For auctions in social networks, items are needed to be sold to agents in a network, where each agent can bid and also diffuse the sale…

Computer Science and Game Theory · Computer Science 2023-08-03 Mingyu Xiao , Guixin Lin , Bakh Khoussainov , Yuchao Song

A central issue in applying auction theory in practice is the problem of dealing with budget-constrained agents. A desirable goal in practice is to design incentive compatible, individually rational, and Pareto optimal auctions while…

Computer Science and Game Theory · Computer Science 2012-05-21 Gagan Goel , Vahab Mirrokni , Renato Paes Leme

We study incentive compatible mechanisms for Combinatorial Auctions where the bidders have submodular (or XOS) valuations and are budget-constrained. Our objective is to maximize the \emph{liquid welfare}, a notion of efficiency for…

Computer Science and Game Theory · Computer Science 2018-12-14 Dimitris Fotakis , Kyriakos Lotidis , Chara Podimata

In online ad markets, a rising number of advertisers are employing bidding agencies to participate in ad auctions. These agencies are specialized in designing online algorithms and bidding on behalf of their clients. Typically, an agency…

Computer Science and Game Theory · Computer Science 2023-06-14 Yurong Chen , Qian Wang , Zhijian Duan , Haoran Sun , Zhaohua Chen , Xiang Yan , Xiaotie Deng
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