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According to the fundamental theorems of welfare economics, any competitive equilibrium is Pareto efficient. Unfortunately, competitive equilibrium prices only exist under strong assumptions such as perfectly divisible goods and convex…

Computer Science and Game Theory · Computer Science 2023-05-24 Mete Şeref Ahunbay , Martin Bichler , Johannes Knörr

With the increased share of Distributed Generation (DG) and Demand Responsive (DR) loads in the power systems, new approaches based on the game theory framework have been proposed to tackle the problem of coordination of Price Responsive…

Systems and Control · Electrical Eng. & Systems 2023-02-02 Foad Najafi , Matthias Fripp

The fast growth of communication technology within the concept of smart grids can provide data and control signals from/to all consumers in an online fashion. This could foster more participation for end-user customers. These types of…

Systems and Control · Electrical Eng. & Systems 2020-09-11 Arman Alahyari , David Pozo

We study a demand response problem from utility (also referred to as operator)'s perspective with realistic settings, in which the utility faces uncertainty and limited communication. Specifically, the utility does not know the cost…

Optimization and Control · Mathematics 2017-08-11 Pan Li , Hao Wang , Baosen Zhang

This paper proposes a dynamic valuation framework to determine the opportunity value of battery capacity degradation in grid applications based on the internal degradation mechanism and utilization scenarios. The proposed framework follows…

Optimization and Control · Mathematics 2021-09-28 Bolun Xu

A distributed, hierarchical, market based approach is introduced to solve the economic dispatch problem. The approach requires only a minimal amount of information to be shared between a central market operator and the end-users. Price…

Multiagent Systems · Computer Science 2020-09-07 Cornelis Jan van Leeuwen , Joost Stam , Arun Subramanian , Koen Kok

This paper provides a systematic comparison between Fitted Dynamic Programming (DP), where demand is estimated from data, and Reinforcement Learning (RL) methods in finite-horizon dynamic pricing problems. We analyze their performance…

General Economics · Economics 2026-04-16 Lev Razumovskiy , Nikolay Karenin

Demand Response (DR) has a widely recognized potential for improving grid stability and reliability while reducing customers energy bills. However, the conventional DR techniques come with several shortcomings, such as inability to handle…

Systems and Control · Electrical Eng. & Systems 2020-09-24 Amin Shojaeighadikolaei , Arman Ghasemi , Kailani R. Jones , Alexandru G. Bardas , Morteza Hashemi , Reza Ahmadi

We present a new model for the electricity spot price dynamics, which is able to capture seasonality, low-frequency dynamics and the extreme spikes in the market. Instead of the usual purely deterministic trend we introduce a non-stationary…

Applications · Statistics 2012-01-06 Fred Espen Benth , Claudia Klüppelberg , Gernot Müller , Linda Vos

We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending…

Physics and Society · Physics 2022-11-15 Andrea Civilini , Vito Latora

We consider dynamic pricing strategies in a streamed longitudinal data set-up where the objective is to maximize, over time, the cumulative profit across a large number of customer segments. We consider a dynamic model with the consumers'…

Machine Learning · Computer Science 2023-10-17 Rashmi Ranjan Bhuyan , Adel Javanmard , Sungchul Kim , Gourab Mukherjee , Ryan A. Rossi , Tong Yu , Handong Zhao

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

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

Optimization and Control · Mathematics 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

Demand estimation plays an important role in dynamic pricing where the optimal price can be obtained via maximizing the revenue based on the demand curve. In online hotel booking platform, the demand or occupancy of rooms varies across…

General Economics · Economics 2022-08-12 Fanwei Zhu , Wendong Xiao , Yao Yu , Ziyi Wang , Zulong Chen , Quan Lu , Zemin Liu , Minghui Wu , Shenghua Ni

We develop a GPU-accelerated dynamic programming (DP) method for valuing, operating, and bidding energy storage under multistage stochastic electricity prices. Motivated by computational limitations in existing models, we formulate DP…

Optimization and Control · Mathematics 2025-11-20 Thomas Lee , Andy Sun

When randomness in demand affects the sales of a product, retailers use dynamic pricing strategies to maximize their profits. In this article, we formulate the pricing problem as a continuous-time stochastic optimal control problem and find…

Optimization and Control · Mathematics 2019-03-13 Asbjørn Nilsen Riseth

This paper deals with the market-bidding problem of a cluster of price-responsive consumers of electricity. We develop an inverse optimization scheme that, recast as a bilevel programming problem, uses price-consumption data to estimate the…

Optimization and Control · Mathematics 2015-11-04 Javier Saez-Gallego , Juan M. Morales , Marco Zugno , Henrik Madsen

In the presence of non-convexities, the power market may not have an equilibrium price for power that provides economic stability of the centralized dispatch outcome. In this case, to achieve an economically stable outcome, the uplift…

Optimization and Control · Mathematics 2022-11-18 Vadim Borokhov

In recent years, developments in plug in hybrid electric vehicles have provided various environmental and economic advantages. In the future smart grids, electric vehicles are seen as an important means of transportation to reduce…

Optimization and Control · Mathematics 2018-02-13 Shanxuei Chen , Elizabeth Olivioufski , Braian Dods , Mohammd Hamdi

Demand Response is an emerging technology which will transform the power grid of tomorrow. It is revolutionary, not only because it will enable peak load shaving and will add resources to manage large distribution systems, but mainly…

Information Theory · Computer Science 2012-09-26 Vicenç Gómez , Michael Chertkov , Scott Backhaus , Hilbert J. Kappen