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We develop a model for the industry dynamics in the electricity market, based on mean-field games of optimal stopping. In our model, there are two types of agents: the renewable producers and the conventional producers. The renewable…

Optimization and Control · Mathematics 2020-04-30 René Aïd , Roxana Dumitrescu , Peter Tankov

We study the impact of transition scenario uncertainty, namely that of future carbon price and electricity demand, on the pace of decarbonization of the electricity industry. To this end, we develop a theory of optimal stopping mean-field…

Optimization and Control · Mathematics 2023-12-29 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

We propose a mean field game (MFG) framework to model the evolution of renewable energy production in competitive electricity markets. Producers interact through the spot price while optimising their profits under production, installation,…

Optimization and Control · Mathematics 2026-03-25 Luciano Campi , Zhuoshu Wu

This paper studies the optimal investment behavior of renewable electricity producers in a competitive market, where both prices and installation costs are influenced by aggregate industry activity. We model the resulting crowding effects…

Optimization and Control · Mathematics 2025-07-16 Emma Hubert , Dimitrios Lolas , Ronnie Sircar

Given a large number of homogeneous players that are distributed across three possible states, we consider the problem in which these players have to control their transition rates, while minimizing a cost. The optimal transition rates are…

Systems and Control · Computer Science 2018-02-13 Leonardo Stella , Dario Bauso

The most serious threat to ecosystems is the global climate change fueled by the uncontrolled increase in carbon emissions. In this project, we use mean field control and mean field game models to analyze and inform the decisions of…

Optimization and Control · Mathematics 2021-07-06 Rene Carmona , Gokce Dayanikli , Mathieu Lauriere

Future electricity distribution grids will host a considerable share of the renewable energy sources needed for enforcing the energy transition. Demand side management mechanisms play a key role in the integration of such renewable energy…

Systems and Control · Computer Science 2019-04-16 José Horta , Eitan Altman , Mathieu Caujolle , Daniel Kofman , David Menga

This article introduces a novel mean-field game model for multi-sector economic growth in which a dynamically evolving externality, influenced by the collective actions of agents, plays a central role. Building on classical growth theories…

Optimization and Control · Mathematics 2026-05-05 Pierre Lavigne , Quentin Petit , Xavier Warin

The European Union Emission Trading Scheme (EU ETS) is a cornerstone of the EU's strategy to fight climate change and an important device for plummeting greenhouse gas (GHG) emissions in an economically efficient manner. The power industry…

Theoretical Economics · Economics 2021-05-03 Arega Getaneh Abate , Rossana Riccardi , Carlos Ruiz

Grid edge resources refer to distributed energy resources (DERs) located on the consumer side of the electrical grid, controlled by consumers rather than utility companies. Integrating DERs with real-time electricity pricing can better…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Chen Feng , Andrew L. Liu

In a game theoretic framework, we study energy markets with a continuum of homogenous producers who produce energy from an exhaustible resource such as oil. Each producer simultaneously optimizes production rate that drives her revenues, as…

Economics · Quantitative Finance 2017-10-17 Michael Ludkovski , Xuwei Yang

Competition has been introduced in the electricity markets with the goal of reducing prices and improving efficiency. The basic idea which stays behind this choice is that, in competitive markets, a greater quantity of the good is exchanged…

Physics and Society · Physics 2009-11-11 Ettore Bompard , Yuchao Ma , Elena Ragazzi

This work tackles the problem of energy-efficient distributed power control in wireless networks with a large number of transmitters. The problem is modeled by a dynamic game. Each transmitter-receiver communication is characterized by a…

Information Theory · Computer Science 2013-01-30 François Mériaux , Vineeth Varma , Samson Lasaulce

We study price formation in intraday electricity markets in the presence of intermittent renewable generation. We consider the setting where a major producer may interact strategically with a large number of small producers. Using…

Pricing of Securities · Quantitative Finance 2020-11-17 Olivier Féron , Peter Tankov , Laura Tinsi

We develop a financial market model in which a large population of firms chooses dynamic emission strategies under climate transition risk, interacting with both environmentally concerned and neutral investors. Firms face a trade-off…

Mathematical Finance · Quantitative Finance 2026-02-24 Pierre Lavigne , Peter Tankov

The interplay between risk aversion and financial derivatives has received increasing attention since the advent of electricity market liberalization. One important challenge in this context is how to develop economically efficient and…

General Economics · Economics 2022-06-06 Arega Getaneh Abate , Rossana Riccardi , Carlos Ruiz

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

In this article, we investigate the competitive interaction between electrical vehicles or hybrid oil-electricity vehicles in a Cournot market consisting of electricity transactions to or from an underlying electricity distribution network.…

Computer Science and Game Theory · Computer Science 2016-11-17 Romain Couillet , Samir Medina Perlaza , Hamidou Tembine , Merouane Debbah

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

Optimization and Control · Mathematics 2010-08-24 Michael Ludkovski

A mean-field-type game is a game in which the instantaneous payoffs and/or the state dynamics functions involve not only the state and the action profile but also the joint distributions of state-action pairs. This article presents some…

Optimization and Control · Mathematics 2017-11-30 Boualem Djehiche , Alain Tcheukam , Hamidou Tembine
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