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The finding of small price changes in many retail price datasets is often viewed as a puzzle. We show that a possible explanation for the presence of small price changes is related to sales volume, an observation that has been overlooked in…

General Economics · Economics 2024-03-13 Doron Sayag , Avichai Snir , Daniel Levy

Much like small ripples in a stream, which get lost in the larger waves, small changes in retail prices often fly under the radar of public perceptions, while large price changes appear as marketing moves associated with demand and…

General Economics · Economics 2025-12-03 Xiao Ling , Sourav Ray , Daniel Levy

The distribution of liquidity within the limit order book is essential for the impact of market orders on the stock price and the emergence of price shocks. Limit orders are characterized by stylized facts: The number of inserted limit…

Statistical Finance · Quantitative Finance 2022-10-25 Sebastian M. Krause , Edgar Jungblut , Thomas Guhr

We study a problem of an online retailer who observes the unit sales of a product, and dynamically changes the retail price, in order to maximize the expected revenue. Assuming the demand of the product is price sensitive, we are interested…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Chengcheng Liu , Mátyás A. Sustik

Online stores can present a different price to each customer. Such algorithmic personalised pricing can lead to advanced forms of price discrimination based on the characteristics and behaviour of individual consumers. We conducted two…

Computers and Society · Computer Science 2025-10-10 Joost Poort , Frederik J. Zuiderveen Borgesius

We test the predictions of the sticky information model using a survey dataset by comparing shoppers accuracy in recalling the prices of regulated and comparable unregulated products. Because regulated product prices are capped, they are…

General Economics · Economics 2025-02-25 Doron Sayag , Avichai Snir , Daniel Levy

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

Optimization and Control · Mathematics 2018-03-01 Nyles Breecher , Richard Stockbridge

In this paper we demonstrate a striking regularity in the way people place limit orders in financial markets, using a data set consisting of roughly seven million orders from the London Stock Exchange. We define the relative limit price as…

Condensed Matter · Physics 2007-05-23 Ilija I. Zovko , J. Doyne Farmer

Urban scaling laws summarize how urban attributes evolve with city size. Recent criticism questions notably the aggregate view of this approach, which leads to neglecting the internal structure of cities. This is all the more relevant for…

Physics and Society · Physics 2024-05-24 Gaëtan Laziou , Rémi Lemoy , Marion Le Texier

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…

Machine Learning · Computer Science 2023-07-31 Xi Chen , Jiameng Lyu , Xuan Zhang , Yuan Zhou

We define what "Price Impact" means, and how it is measured and modelled in the recent literature. Although this notion seems to convey the idea of a forceful and intuitive mechanism, we discuss why things might not be that simple.…

Trading and Market Microstructure · Quantitative Finance 2017-08-24 J. P. Bouchaud

We consider a scenario where a seller possesses a dataset $D$ and trains it into models of varying accuracies for sale in the market. Due to the reproducibility of data, the dataset can be reused to train models with different accuracies,…

Artificial Intelligence · Computer Science 2025-04-01 Jie Liu , Tao Feng , Yan Jiang , Peizheng Wang , Chao Wu

The paper proposes a framework for modeling and analysis of the dynamics of supply, demand, and clearing prices in power system with real-time retail pricing and information asymmetry. Real-time retail pricing is characterized by passing on…

Systems and Control · Computer Science 2011-06-08 Mardavij Roozbehani , Munther A Dahleh , Sanjoy K Mitter

We look at price formation in a retail setting, that is, companies set prices, and consumers either accept prices or go someplace else. In contrast to most other models in this context, we use a two-dimensional spatial structure for…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 Kai Nagel , Martin Shubik , Maya Paczuski , Per Bak

We investigate present some new statistical properties of order books. We analyse data from the Nasdaq and investigate (a) the statistics of incoming limit order prices, (b) the shape of the average order book, and (c) the typical life time…

Condensed Matter · Physics 2009-11-07 Marc Potters , Jean-Philippe Bouchaud

Contextual pricing strategies are prevalent in online retailing, where the seller adjusts prices based on products' attributes and buyers' characteristics. Although such strategies can enhance seller's profits, they raise concerns about…

Computer Science and Game Theory · Computer Science 2026-03-17 Pangpang Liu , Will Wei Sun

We will compare three types of prices, namely, rational (hedging) prices, geometric (growth rate) prices, and martingale (measure) prices. We will show that rational prices in the complete market theory are sometimes contrary to common…

Pricing of Securities · Quantitative Finance 2008-12-02 Yukio Hirashita

In this paper, we study a retailer price optimization problem which includes the practical constraints: maximum number of price changes and minimum amount of price change (if a change is recommended). We provide a closed-form formula for…

Optimization and Control · Mathematics 2021-04-21 Xiaojie Wang , Hsin-Chan Huang , Lanshan Han , Alvin Lim

Optimal pricing, i.e., determining the price level that maximizes profit or revenue of a given product, is a vital task for the retail industry. To select such a quantity, one needs first to estimate the price elasticity from the product…

Econometrics · Economics 2022-01-12 Jianqing Fan , Ricardo P. Masini , Marcelo C. Medeiros

Reference prices have long been studied in applied economics and business research. One of the classic formulations of the reference price is in terms of an iterative function of past prices. There are a number of limitations of such a…

Applications · Statistics 2012-05-30 Kevin D. Dayaratna , P. K. Kannan
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