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Accurately forecasting electricity price volatility is crucial for effective risk management and decision-making. Traditional forecasting models often fall short in capturing the complex, non-linear dynamics of electricity markets,…

Computational Engineering, Finance, and Science · Computer Science 2025-05-20 Haochen Xue , Chenghao Liu , Chong Zhang , Yuxuan Chen , Angxiao Zong , Zhaodong Wu , Yulong Li , Jiayi Liu , Kaiyu Liang , Zhixiang Lu , Ruobing Li , Jionglong Su

The Lambert W function, implicitly defined by W(x) exp{W(x)}=x, is a "new" special function that has recently been the subject of an extended upsurge in interest and applications. In this note, I point out that the Lambert W function can…

Number Theory · Mathematics 2018-04-10 Matt Visser

Motivated by posted price auctions where buyers are grouped in an unknown number of latent types characterized by their private values for the good on sale, we investigate revenue maximization in stochastic dynamic pricing when the…

Machine Learning · Computer Science 2019-03-06 Nicolò Cesa-Bianchi , Tommaso Cesari , Vianney Perchet

We consider {\em profit-maximization} problems for {\em combinatorial auctions} with {\em non-single minded valuation functions} and {\em limited supply}. We obtain fairly general results that relate the approximability of the…

Computer Science and Game Theory · Computer Science 2013-12-03 Khaled Elbassioni , Mahmoud Fouz , Chaitanya Swamy

We provide a near-optimal, computationally efficient algorithm for the unit-demand pricing problem, where a seller wants to price n items to optimize revenue against a unit-demand buyer whose values for the items are independently drawn…

Computer Science and Game Theory · Computer Science 2014-10-28 Yang Cai , Constantinos Daskalakis

Many online companies sell advertisement space in second-price auctions with reserve. In this paper, we develop a probabilistic method to learn a profitable strategy to set the reserve price. We use historical auction data with features to…

Machine Learning · Statistics 2015-06-25 Maja R. Rudolph , Joseph G. Ellis , David M. Blei

As an emerging computing paradigm, edge computing offers computing resources closer to the data sources, helping to improve the service quality of many real-time applications. A crucial problem is designing a rational pricing mechanism to…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-15 Haosong Peng , Yufeng Zhan , DiHua Zhai , Xiaopu Zhang , Yuanqing Xia

When sales of a product are affected by randomness in demand, retailers can use dynamic pricing strategies to maximise their profits. In this article the pricing problem is formulated as a stochastic optimal control problem, where the…

Optimization and Control · Mathematics 2017-10-17 Asbjørn N. Riseth , Jeff N. Dewynne , Chris L. Farmer

A regularization algorithm allowing random noise in derivatives and inexact function values is proposed for computing approximate local critical points of any order for smooth unconstrained optimization problems. For an objective function…

Optimization and Control · Mathematics 2021-04-07 S. Bellavia , G. Gurioli , B. Morini , Ph. L. Toint

The saddlepoint approximation to the likelihood, and its corresponding maximum likelihood estimate (MLE), offer an alternative estimation method when the true likelihood is intractable or computationally expensive. However, maximizing this…

Methodology · Statistics 2025-04-11 Godrick Oketch , Rachel M. Fewster , Jesse Goodman

This paper contributes to the literature on parametric demand estimation by using deep learning to model consumer preferences. Traditional econometric methods often struggle with limited within-product price variation, a challenge addressed…

General Economics · Economics 2024-12-16 Kirill Safonov

Mobile users' correlated mobility and data consumption patterns often lead to severe cellular network congestion in peak hours and hot spots. This paper presents an optimal design of time and location aware mobile data pricing, which…

Networking and Internet Architecture · Computer Science 2015-11-13 Qian Ma , Ya-Feng Liu , Jianwei Huang

We study probability density functions that are log-concave. Despite the space of all such densities being infinite-dimensional, the maximum likelihood estimate is the exponential of a piecewise linear function determined by finitely many…

This study addresses the interpretable estimation of price bounds in the context of price optimization. In recent years, price-optimization methods have become indispensable for maximizing revenue and profits. However, effective application…

Computer Science and Game Theory · Computer Science 2024-10-01 Shunnosuke Ikeda , Naoki Nishimura , Shunji Umetani

In an electric power system, demand fluctuations may result in significant ancillary cost to suppliers. Furthermore, in the near future, deep penetration of volatile renewable electricity generation is expected to exacerbate the variability…

Optimization and Control · Mathematics 2012-07-13 John N. Tsitsiklis , Yunjian Xu

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…

Machine Learning · Computer Science 2022-04-04 Jianyu Xu , Yu-Xiang Wang

We study the optimal liquidation problem in a market model where the bid price follows a geometric pure jump process whose local characteristics are driven by an unobservable finite-state Markov chain and by the liquidation rate. This model…

Mathematical Finance · Quantitative Finance 2019-06-27 Katia Colaneri , Zehra Eksi , Rüdiger Frey , Michaela Szölgyenyi

We assume a continuous-time price impact model similar to Almgren-Chriss but with the added assumption that the price impact parameters are stochastic processes modeled as correlated scalar Markov diffusions. In this setting, we develop…

Trading and Market Microstructure · Quantitative Finance 2018-04-13 Weston Barger , Matthew Lorig

We study the problem of optimizing assortment decisions in the presence of product-specific costs when customers choose according to a multinomial logit model. This problem is NP-hard and approximate solutions methods have been proposed in…

Optimization and Control · Mathematics 2023-12-05 Markus Leitner , Andrea Lodi , Roberto Roberti , Claudio Sole

This paper studies spatiotemporal pricing and fleet management for autonomous mobility-on-demand (AMoD) systems while taking elastic demand into account. We consider a platform that offers ride-hailing services using a fleet of autonomous…

Optimization and Control · Mathematics 2024-04-02 Zhijie Lai , Sen Li