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The assortment problem in revenue management is the problem of deciding which subset of products to offer to consumers in order to maximise revenue. A simple and natural strategy is to select the best assortment out of all those that are…

Data Structures and Algorithms · Computer Science 2019-02-22 Gerardo Berbeglia , Gwenaël Joret

Renewable energy brings huge uncertainties to the power system, which challenges the traditional power system operation with limited flexible resources. One promising solution is to introduce dynamic pricing to more consumers, which, if…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Jiaman Wu , Zhiqi Wang , Yang Yu , Chenye Wu

In this paper, we consider the classic stochastic (dynamic) knapsack problem, a fundamental mathematical model in revenue management, with general time-varying random demand. Our main goal is to study the optimal policies, which can be…

Optimization and Control · Mathematics 2018-07-19 Yingdong Lu

In Part II of this paper, we concentrate our analysis on the price dynamical model with the moving average rules developed in Part I of this paper. By decomposing the excessive demand function, we reveal that it is the interplay between…

Trading and Market Microstructure · Quantitative Finance 2016-11-18 Li-Xin Wang

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

In many fields where the main goal is to produce sequential forecasts for decision making problems, the good understanding of the contemporaneous relations among different series is crucial for the estimation of the covariance matrix. In…

Econometrics · Economics 2021-11-09 Bruno P. C. Levy , Hedibert F. Lopes

We consider a nonlinear pricing environment with private information. We provide profit guarantees (and associated mechanisms) that the seller can achieve across all possible distributions of willingness to pay of the buyers. With a…

Theoretical Economics · Economics 2023-02-01 Dirk Bergemann , Tibor Heumann , Stephen Morris

We study a finite-horizon dynamic wholesale-price contract between a manufacturer and a retailer, both of whom observe only sales, rather than the true demand. When the retailer stocks out, unmet demand is unobserved, so both parties update…

Computer Science and Game Theory · Computer Science 2026-03-17 Michalis Deligiannis , Marco Scarsini , Xavier Venel

A fundamental economic question is that of designing revenue-maximizing mechanisms in dynamic environments. This paper considers a simple yet compelling market model to tackle this question, where forward-looking buyers arrive at the market…

Theoretical Economics · Economics 2024-10-16 Jose Correa , Andres Cristi , Laura Vargas Koch

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

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

We propose a class of stochastic models for a dynamics of limit order book with different type of liquidities. Within this class of models we study the one where a spread decreases uniformly, belonging to the class of processes known as a…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Helder Rojas , Artem Logachov , Anatoly Yambartsev

We address a dynamic pricing problem for airlines aiming to maximize expected revenue from selling cargo space on a single-leg flight. The cargo shipments' weight and volume are uncertain and their precise values remain unavailable at the…

Optimization and Control · Mathematics 2024-04-09 Chengyu Du , Fang He , Xi Lin

Mobile data demand is increasing tremendously in wireless social networks, and thus an efficient pricing scheme for social-enabled services is urgently needed. Though static pricing is dominant in the actual data market, price intuitively…

Computer Science and Game Theory · Computer Science 2018-08-14 Zehui Xiong , Dusit Niyato , Ping Wang , Zhu Han , Yang Zhang

We study the dynamics of order flows around large intraday price changes using ultra-high-frequency data from the Shenzhen Stock Exchange. We find a significant reversal of price for both intraday price decreases and increases with a…

Trading and Market Microstructure · Quantitative Finance 2010-08-03 Guo-Hua Mu , Wei-Xing Zhou , Wei Chen , Janos Kertesz

We propose a model in which dividend payments occur at regular, deterministic intervals in an otherwise continuous model. This contrasts traditional models where either the payment of continuous dividends is controlled or the dynamics are…

Optimization and Control · Mathematics 2019-07-24 Jussi Keppo , Max Reppen , H. Mete Soner

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…

Computer Science and Game Theory · Computer Science 2026-05-25 Bar Light , Wenyu Wang

In this paper, we study the contextual dynamic pricing problem where the market value of a product is linear in its observed features plus some market noise. Products are sold one at a time, and only a binary response indicating success or…

Machine Learning · Computer Science 2022-05-05 Jianqing Fan , Yongyi Guo , Mengxin Yu

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

Tandem queueing systems are widely-used stochastic models that arise from many real-life service operations systems. Motivated by the desire to understand the trade-off between the performance and complexity of policies for…

Optimization and Control · Mathematics 2018-04-25 Tonghoon Suk , Xinchang Wang