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We study reserve price optimization in multi-phase second price auctions, where the seller's prior actions affect the bidders' later valuations through a Markov Decision Process (MDP). Compared to the bandit setting in existing works, the…

机器学习 · 计算机科学 2026-03-04 Rui Ai , Boxiang Lyu , Zhaoran Wang , Zhuoran Yang , Michael I. Jordan

In the contextual pricing problem a seller repeatedly obtains products described by an adversarially chosen feature vector in $\mathbb{R}^d$ and only observes the purchasing decisions of a buyer with a fixed but unknown linear valuation…

数据结构与算法 · 计算机科学 2021-02-25 Allen Liu , Renato Paes Leme , Jon Schneider

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…

计算机科学与博弈论 · 计算机科学 2026-04-14 Yige Wang , Jiashuo Jiang

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…

计算机科学与博弈论 · 计算机科学 2026-04-14 Yige Wang , Jiashuo Jiang

We design the first regret guarantees for robust dynamic pricing that decouple the dependence on the corruption $C$ and the time horizon $T$. In dynamic pricing, a seller with unlimited supply of a good interacts with a stream of buyers…

机器学习 · 计算机科学 2026-05-12 Kalana Kalupahana , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

We consider a dynamic pricing problem where customer response to the current price is impacted by the customer price expectation, aka reference price. We study a simple and novel reference price mechanism where reference price is the…

机器学习 · 计算机科学 2024-07-23 Shipra Agrawal , Wei Tang

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,…

计算机科学与博弈论 · 计算机科学 2018-05-01 Zhiyi Huang , Jinyan Liu , Xiangning Wang

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

We study competitive dynamic pricing among multiple sellers, motivated by the rise of large-scale experimentation and algorithmic pricing in retail and online marketplaces. Sellers repeatedly set prices using simple learning rules and…

计算机科学与博弈论 · 计算机科学 2026-05-25 Bar Light , Wenyu Wang

The proliferation of the Internet has led to the emergence of online advertising, driven by the mechanics of online auctions. In these repeated auctions, software agents participate on behalf of aggregated advertisers to optimize for their…

机器学习 · 计算机科学 2023-06-13 Haozhe Wang , Chao Du , Panyan Fang , Li He , Liang Wang , Bo Zheng

In feature-based dynamic pricing, a seller sets appropriate prices for a sequence of products (described by feature vectors) on the fly by learning from the binary outcomes of previous sales sessions ("Sold" if valuation $\geq$ price, and…

机器学习 · 计算机科学 2022-04-04 Jianyu Xu , Yu-Xiang Wang

Second-price auctions with reserve play a critical role for modern search engine and popular online sites since the revenue of these companies often directly de- pends on the outcome of such auctions. The choice of the reserve price is the…

机器学习 · 计算机科学 2014-12-03 Mehryar Mohri , Andres Muñoz Medina

Dynamic pricing of goods in a competitive environment to maximize revenue is a natural objective and has been a subject of research over the years. In this paper, we focus on a class of markets exhibiting the substitutes property with…

机器学习 · 计算机科学 2017-09-18 Paresh Nakhe

Price discrimination, which refers to the strategy of setting different prices for different customer groups, has been widely used in online retailing. Although it helps boost the collected revenue for online retailers, it might create…

机器学习 · 计算机科学 2023-07-31 Xi Chen , Jiameng Lyu , Xuan Zhang , Yuan Zhou

We initiate the study of contextual dynamic pricing with a heterogeneous population of buyers, where a seller repeatedly posts prices (over $T$ rounds) that depend on the observable $d$-dimensional context and receives binary purchase…

机器学习 · 计算机科学 2025-12-11 Thodoris Lykouris , Sloan Nietert , Princewill Okoroafor , Chara Podimata , Julian Zimmert

In this study, we apply reinforcement learning techniques and propose what we call reinforcement mechanism design to tackle the dynamic pricing problem in sponsored search auctions. In contrast to previous game-theoretical approaches that…

计算机科学与博弈论 · 计算机科学 2017-11-29 Weiran Shen , Binghui Peng , Hanpeng Liu , Michael Zhang , Ruohan Qian , Yan Hong , Zhi Guo , Zongyao Ding , Pengjun Lu , Pingzhong Tang

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…

计算机科学与博弈论 · 计算机科学 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang , Vahab Mirrokni

We study contextual dynamic pricing problems where a firm sells products to $T$ sequentially-arriving consumers, behaving according to an unknown demand model. The firm aims to minimize its regret over a clairvoyant that knows the model in…

机器学习 · 计算机科学 2025-04-07 Zifeng Zhao , Feiyu Jiang , Yi Yu

This paper introduces a novel contextual bandit algorithm for personalized pricing under utility fairness constraints in scenarios with uncertain demand, achieving an optimal regret upper bound. Our approach, which incorporates dynamic…

机器学习 · 统计学 2023-11-29 Xi Chen , David Simchi-Levi , Yining Wang

Online advertising platforms use automated auctions to connect advertisers with potential customers, requiring effective bidding strategies to maximize profits. Accurate ad impact estimation requires considering three key factors: delayed…

机器学习 · 计算机科学 2025-10-24 Yuwei Cheng , Zifeng Zhao , Haifeng Xu