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Here, we introduce a price-formation model where a large number of small players can store and trade electricity. Our model is a constrained mean-field game (MFG) where the price is a Lagrange multiplier for the supply vs. demand balance…

Analysis of PDEs · Mathematics 2018-07-20 Diogo Gomes , João Saúde

We use a principal-agent model to analyze the structure of a book-driven dealer market when the dealer faces competition from a crossing network or dark pool. The agents are privately informed about their types (e.g. their portfolios),…

Mathematical Finance · Quantitative Finance 2016-08-17 Jana Bielagk , Ulrich Horst , Santiago Moreno--Bromberg

As zero-emission zones emerge in European cities, fleet operators are shifting to electric vehicles. To maintain their current operations, a clear understanding of the charging infrastructure required and its relationship to existing power…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Juan Pablo Bertucci , Mauro Salazar , Theo Hofman

This study presents an agent-based computational cross-market model for Chinese equity market structure, which includes both stocks and CSI 300 index futures. In this model, we design several stocks and one index futures to simulate this…

Trading and Market Microstructure · Quantitative Finance 2014-04-17 Hai-Chuan Xu , Wei Zhang , Xiong Xiong , Wei-Xing Zhou

We introduce an agent-based model, in which agents set their prices to maximize profit. At steady state the market self-organizes into three groups: excess producers, consumers and balanced agents, with prices determined by their own…

General Finance · Quantitative Finance 2018-01-03 Bin Li , K. Y. Michael Wong , Amos H. M. Chan , Tsz Yan So , Hermanni Heimonen , Junyi Wei , David Saad

We study the competition for partners in two-sided matching markets with heterogeneous agent preferences, with a focus on how the equilibrium outcomes depend on the connectivity in the market. We model random partially connected markets,…

Computer Science and Game Theory · Computer Science 2023-01-12 Yash Kanoria , Seungki Min , Pengyu Qian

In this paper, we develop an agent-based model which integrates four important elements, i.e. organisational energy management policies/regulations, energy management technologies, electric appliances and equipment, and human behaviour,…

Artificial Intelligence · Computer Science 2016-07-22 Tao Zhang , Peer-Olaf Siebers , Uwe Aickelin

An optimal scheduling model for a microgrid participating in the electricity distribution market in interaction with a Distribution Market Operator (DMO) is proposed in this paper. The DMO administers the established electricity market in…

Systems and Control · Computer Science 2016-11-15 Sina Parhizi , Amin Khodaei , Mohammad Shahidehpour

The electricity industry has been one of the first to face technological changes motivated by sustainability concerns. Whilst efficiency aspects of market design have tended to focus upon market power concerns, the new policy challenges…

Theoretical Economics · Economics 2023-04-06 Lamia Varawala , Mohammad Reza Hesamzadeh , György Dán , Derek Bunn , Juan Rosellón

We present the closed-form solution to the problem of hedging price and quantity risks for energy retailers (ER), using financial instruments based on electricity price and weather indexes. Our model considers an ER who is intermediary in a…

Mathematical Finance · Quantitative Finance 2020-11-18 Javier Pantoja Robayo , Juan C. Vera

In the context of smart grids and load balancing, daily peak load forecasting has become a critical activity for stakeholders of the energy industry. An understanding of peak magnitude and timing is paramount for the implementation of smart…

Machine Learning · Computer Science 2021-12-10 Yvenn Amara-Ouali , Matteo Fasiolo , Yannig Goude , Hui Yan

The growing share of proactive actors in the electricity markets calls for more attention on prosumers and more support for their decision-making under decentralized electricity markets. In view of the changing paradigm, it is crucial to…

Optimization and Control · Mathematics 2021-05-24 Ni Wang , Remco Verzijlbergh , Petra Heijnen , Paulien Herder

The paper presents the BOLD (Buildings on Linked Data) benchmark for Linked Data agents, next to the framework to simulate dynamic Linked Data environments, using which we built BOLD. The BOLD benchmark instantiates the BOLD framework by…

Systems and Control · Electrical Eng. & Systems 2023-07-19 Tobias Käfer , Victor Charpenay , Andreas Harth

We establish sufficient conditions for nodal price response matrix in electric power system to be symmetric and negative (semi-)definite. The results are applicable for electricity markets with nonlinear and intertemporal constraints.

Optimization and Control · Mathematics 2015-10-05 Vadim Borokhov

A prototype model of stock market is introduced and studied numerically. In this self-organized system, we consider only the interaction among traders without external influences. Agents trade according to their own strategy, to accumulate…

Statistical Mechanics · Physics 2009-10-30 G. Caldarelli , M. Marsili , Y. -C. Zhang

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

This paper evaluates market equilibrium under different pricing mechanisms in a two-settlement 100%-renewables electricity market. Given general probability distributions of renewable energy, we establish game-theoretical models to analyze…

Systems and Control · Electrical Eng. & Systems 2023-05-23 Dongwei Zhao , Audun Botterud , Marija Ilic

Twelve years ago, the European Union began with the gradual phase-out of energy-inefficient incandescent light bulbs under the Ecodesign Directive. In this work, we implement an agent-based simulation to model the consumer behaviour in the…

Multiagent Systems · Computer Science 2022-09-13 Gido H. Schoenmacker , Wander Jager , Rineke Verbrugge

Renewable electricity generation has grown significantly across many European power systems, leading to a greener energy mix, but also additional complexity in balancing electricity supply and demand. Unexpected differences between…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Arnaud Verstraeten , Maria Margarida Mascarenhas , Hussain Kazmi

We investigate how asymmetric information affects equilibrium price formation in an economy with many interacting agents. Motivated by a finite-player model with two populations of asymmetrically informed agents, we study its mean-field…

Probability · Mathematics 2026-05-06 Alekos Cecchin , Markus Fischer , Claudio Fontana , Giacomo Lanaro