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The connection between games and no-regret algorithms has been widely studied in the literature. A fundamental result is that when all players play no-regret strategies, this produces a sequence of actions whose time-average is a…

计算机科学与博弈论 · 计算机科学 2020-09-15 Zhe Feng , Guru Guruganesh , Christopher Liaw , Aranyak Mehta , Abhishek Sethi

Equilibrium problems in Bayesian auction games can be described as systems of differential equations. Depending on the model assumptions, these equations might be such that we do not have a rigorous mathematical solution theory. The lack of…

计算机科学与博弈论 · 计算机科学 2024-12-18 Martin Bichler , Stephan B. Lunowa , Matthias Oberlechner , Fabian R. Pieroth , Barbara Wohlmuth

First-price auctions have recently gained significant traction in digital advertising markets, exemplified by Google's transition from second-price to first-price auctions. Unlike in second-price auctions, where bidding one's private…

机器学习 · 计算机科学 2025-10-07 Zihao Hu , Xiaoyu Fan , Yuan Yao , Jiheng Zhang , Zhengyuan Zhou

Learning to bid in repeated first-price auctions is a fundamental problem at the interface of game theory and machine learning, which has seen a recent surge in interest due to the transition of display advertising to first-price auctions.…

计算机科学与博弈论 · 计算机科学 2024-07-09 Rachitesh Kumar , Jon Schneider , Balasubramanian Sivan

Auctions are modeled as Bayesian games with continuous type and action spaces. Determining equilibria in auction games is computationally hard in general and no exact solution theory is known. We introduce an algorithmic framework in which…

计算机科学与博弈论 · 计算机科学 2023-05-10 Martin Bichler , Maximilian Fichtl , Matthias Oberlechner

We study the problem of learning to bid when the bidder's value is dynamic, i.e., when the current value depends on past outcomes. Specifically, we consider a bidder participating in repeated second-price auctions whose value depends on the…

机器学习 · 计算机科学 2026-05-28 Benjamin Heymann , Otmane Sakhi

We consider the computational complexity of computing Bayes-Nash equilibria in first-price auctions, where the bidders' values for the item are drawn from a general (possibly correlated) joint distribution. We show that when the values and…

计算机科学与博弈论 · 计算机科学 2025-06-06 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

We study a general class of repeated auctions, such as the ones found in electricity markets, as multi-agent games between the bidders. In such a repeated setting, bidders can adapt their strategies online based on the data observed in the…

计算机科学与博弈论 · 计算机科学 2021-07-14 Orcun Karaca , Pier Giuseppe Sessa , Anna Leidi , Maryam Kamgarpour

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,…

计算机科学与博弈论 · 计算机科学 2026-01-06 Jason Gaitonde , Yingkai Li , Bar Light , Brendan Lucier , Aleksandrs Slivkins

This paper examines whether widely used online learning algorithms in pricing can independently reach competitive outcomes or instead foster tacit collusion. This issue has drawn considerable attention from competition regulators as…

计算机科学与博弈论 · 计算机科学 2025-11-25 Martin Bichler , Julius Durmann , Matthias Oberlechner

Motivated by Carbon Emissions Trading Schemes, Treasury Auctions, Procurement Auctions, and Wholesale Electricity Markets, which all involve the auctioning of homogeneous multiple units, we consider the problem of learning how to bid in…

计算机科学与博弈论 · 计算机科学 2024-11-12 Rigel Galgana , Negin Golrezaei

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…

机器学习 · 计算机科学 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

Understanding the convergence landscape of multi-agent learning is a fundamental problem of great practical relevance in many applications of artificial intelligence and machine learning. While it is known that learning dynamics converge to…

计算机科学与博弈论 · 计算机科学 2025-03-21 Martin Bichler , Davide Legacci , Panayotis Mertikopoulos , Matthias Oberlechner , Bary Pradelski

The first-price auction is popular in practice for its simplicity and transparency. Moreover, its potential virtues grow in complex settings where incentive compatible auctions may generate little or no revenue. Unfortunately, the…

计算机科学与博弈论 · 计算机科学 2013-04-30 Darrell Hoy , Kamal Jain , Christopher A. Wilkens

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…

最优化与控制 · 数学 2026-03-10 Zeng Fu , Jiashuo Jiang , Yuan Zhou

First price auctions are widely used in government contracts and industrial auctions. In this paper, we consider the Bayesian Nash Equilibrium (BNE) in first price auctions with discrete value distributions. We study the characterization of…

计算机科学与博弈论 · 计算机科学 2019-07-10 Weiran Shen , Zihe Wang , Song Zuo

Budget management strategies in repeated auctions have received growing attention in online advertising markets. However, previous work on budget management in online bidding mainly focused on second-price auctions. The rapid shift from…

计算机科学与博弈论 · 计算机科学 2023-04-27 Qian Wang , Zongjun Yang , Xiaotie Deng , Yuqing Kong

In this paper, we investigate the problem about how to bid in repeated contextual first price auctions. We consider a single bidder (learner) who repeatedly bids in the first price auctions: at each time $t$, the learner observes a context…

机器学习 · 计算机科学 2021-11-11 Ashwinkumar Badanidiyuru , Zhe Feng , Guru Guruganesh

In non-truthful auctions, agents' utility for a strategy depends on the strategies of the opponents and also the prior distribution over their private types; the set of Bayes Nash equilibria generally has an intricate dependence on the…

计算机科学与博弈论 · 计算机科学 2022-11-02 Hu Fu , Tao Lin

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,…

计算机科学与博弈论 · 计算机科学 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos
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