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We consider a high-dimensional dynamic pricing problem under non-stationarity, where a firm sells products to $T$ sequentially arriving consumers that behave according to an unknown demand model with potential changes at unknown times. The…

Methodology · Statistics 2023-03-21 Zifeng Zhao , Feiyu Jiang , Yi Yu , Xi Chen

This paper proposes a general incremental policy iteration adaptive dynamic programming (ADP) algorithm for model-free robust optimal control of unknown nonlinear systems. The approach integrates recursive least squares estimation with…

Optimization and Control · Mathematics 2025-09-01 Qingkai Meng , Fenglan Wang , Lin Zhao

Dynamic pricing strategies are crucial for firms to maximize revenue by adjusting prices based on market conditions and customer characteristics. However, designing optimal pricing strategies becomes challenging when historical data are…

Machine Learning · Computer Science 2025-02-03 Fan Wang , Feiyu Jiang , Zifeng Zhao , Yi Yu

Dynamic pricing is crucial in sectors like e-commerce and transportation, balancing exploration of demand patterns and exploitation of pricing strategies. Existing methods often require precise knowledge of the demand function, e.g., the…

Machine Learning · Computer Science 2025-03-04 Xueping Gong , Jiheng Zhang

A fundamental (and largely open) challenge in sequential decision-making is dealing with non-stationary environments, where exogenous environmental conditions change over time. Such problems are traditionally modeled as non-stationary…

Artificial Intelligence · Computer Science 2024-01-23 Baiting Luo , Yunuo Zhang , Abhishek Dubey , Ayan Mukhopadhyay

Contextual dynamic pricing aims to set personalized prices based on sequential interactions with customers. At each time period, a customer who is interested in purchasing a product comes to the platform. The customer's valuation for the…

Machine Learning · Statistics 2023-03-07 Yiyun Luo , Will Wei Sun , and Yufeng Liu

This work is motivated by our collaboration with a large consumer packaged goods (CPG) company. We have found that while the company appreciates the advantages of dynamic pricing, they deem it operationally much easier to plan out a static…

Data Structures and Algorithms · Computer Science 2020-11-24 Will Ma , David Simchi-Levi , Jinglong Zhao

We study an online dynamic pricing problem where the potential demand at each time period $t=1,2,\ldots, T$ is stochastic and dependent on the price. However, a perishable inventory is imposed at the beginning of each time $t$, censoring…

Machine Learning · Statistics 2026-01-26 Jianyu Xu , Yining Wang , Xi Chen , Yu-Xiang Wang

There is growing interest in the use of grid-level storage to smooth variations in supply that are likely to arise with increased use of wind and solar energy. Energy arbitrage, the process of buying, storing, and selling electricity to…

Optimization and Control · Mathematics 2015-09-01 Daniel R. Jiang , Warren B. Powell

Traditional pricing paradigms, once dominated by static models and rule-based heuristics, are increasingly being replaced by dynamic, data-driven approaches powered by machine learning algorithms. Despite their growing sophistication, most…

Machine Learning · Computer Science 2025-12-01 Marco Mussi , Marcello Restelli

We consider a periodical equilibrium pricing problem for multiple firms over a planning horizon of T periods. At each period, firms set their selling prices and receive stochastic demand from consumers. Firms do not know their underlying…

Computer Science and Game Theory · Computer Science 2024-06-07 Yongge Yang , Yu-Ching Lee , Po-An Chen

In contextual dynamic pricing, a seller sequentially prices goods based on contextual information. Buyers will purchase products only if the prices are below their valuations. The goal of the seller is to design a pricing strategy that…

Machine Learning · Statistics 2025-02-14 Matilde Tullii , Solenne Gaucher , Nadav Merlis , Vianney Perchet

This paper describes a study of agent bidding strategies, assuming combinatorial valuations for complementary and substitutable goods, in three auction environments: sequential auctions, simultaneous auctions, and the Trading Agent…

Computer Science and Game Theory · Computer Science 2012-07-19 Amy Greenwald , Justin Boyan

In this paper we apply active learning algorithms for dynamic pricing in a prominent e-commerce website. Dynamic pricing involves changing the price of items on a regular basis, and uses the feedback from the pricing decisions to update…

Machine Learning · Statistics 2018-02-12 Ravi Ganti , Matyas Sustik , Quoc Tran , Brian Seaman

Dynamic pricing in high-dimensional markets poses fundamental challenges of scalability, uncertainty, and interpretability. Existing low-rank bandit formulations learn efficiently but rely on latent features that obscure how individual…

Artificial Intelligence · Computer Science 2026-02-03 Srividhya Sethuraman , Chandrashekar Lakshminarayanan

We introduce data-driven decision-making algorithms that achieve state-of-the-art \emph{dynamic regret} bounds for non-stationary bandit settings. These settings capture applications such as advertisement allocation, dynamic pricing, and…

Machine Learning · Computer Science 2021-03-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

We consider a dynamic pricing problem for repeated contextual second-price auctions with multiple strategic buyers who aim to maximize their long-term time discounted utility. The seller has limited information on buyers' overall demand…

Machine Learning · Computer Science 2023-02-08 Negin Golrezaei , Patrick Jaillet , Jason Cheuk Nam Liang

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…

Machine Learning · Statistics 2023-11-29 Xi Chen , David Simchi-Levi , Yining Wang

We consider the problem of dynamic pricing with limited supply. A seller has $k$ identical items for sale and is facing $n$ potential buyers ("agents") that are arriving sequentially. Each agent is interested in buying one item. Each…

Computer Science and Game Theory · Computer Science 2013-11-27 Moshe Babaioff , Shaddin Dughmi , Robert Kleinberg , Aleksandrs Slivkins

We study the problem of learning shared structure \emph{across} a sequence of dynamic pricing experiments for related products. We consider a practical formulation where the unknown demand parameters for each product come from an unknown…

Machine Learning · Computer Science 2021-01-07 Hamsa Bastani , David Simchi-Levi , Ruihao Zhu
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