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In this note, we present an existence result of a Nash equilibrium between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies…

Trading and Market Microstructure · Quantitative Finance 2013-11-08 Mireille Bossy , Nadia Maizi , Odile Pourtallier

Electricity markets typically operate in two stages, day-ahead and real-time. Despite best efforts striving efficiency, evidence of price manipulation has called for system-level market power mitigation (MPM) initiatives that substitute…

Optimization and Control · Mathematics 2023-08-11 Rajni Kant Bansal , Yue Chen , Pengcheng You , Enrique Mallada

In this paper, we analyze Nash equilibria between electricity producers selling their production on an electricity market and buying CO2 emission allowances on an auction carbon market. The producers' strategies integrate the coupling of…

Mathematical Finance · Quantitative Finance 2015-01-15 Mireille Bossy , Nadia Maizi , Odile Pourtallier

We study the role of a market maker (or market operator) in a transmission constrained electricity market. We model the market as a one-shot networked Cournot competition where generators supply quantity bids and load serving entities…

Computer Science and Game Theory · Computer Science 2014-03-31 Subhonmesh Bose , Desmond Cai , Steven Low , Adam Wierman

We introduce the problem of groundwater trading, capturing the emergent groundwater market setups among stakeholders in a given groundwater basin. The agents optimize their production, taking into account their available water rights, the…

General Finance · Quantitative Finance 2025-01-27 Igor Cialenco , Michael Ludkovski

We consider a two-stage market mechanism for trading electricity including renewable generation as an alternative to the widely used multi-settlement market structure. The two-stage market structure allows for recourse decisions by the…

Computer Science and Game Theory · Computer Science 2021-06-16 Nathan Dahlin , Rahul Jain

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 consider a peer-to-peer electricity market, where agents hold private information that they might not want to share. The problem is modeled as a noncooperative communication game, which takes the form of a Generalized Nash Equilibrium…

Computer Science and Game Theory · Computer Science 2021-01-19 Ilia Shilov , Hélène Le Cadre , Ana Bušic

This paper proposes a novel energy sharing mechanism for prosumers who can produce and consume. Different from most existing works, the role of individual prosumer as a seller or buyer in our model is endogenously determined. Several…

Optimization and Control · Mathematics 2019-10-08 Yue Chen , Shengwei Mei , Fengyu Zhou , Steven H. Low , Wei Wei , Feng Liu

The advent of intelligent agents who produce and consume energy by themselves has led the smart grid into the era of "prosumer", offering the energy system and customers a unique opportunity to revaluate/trade their spot energy via a…

Optimization and Control · Mathematics 2019-06-25 Yue Chen , Shengwei Mei , Wei Wei , Steven H. Low , Adam Wierman , Feng Liu

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

Optimization and Control · Mathematics 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

We study day-ahead bidding strategies for wind farm operators under a one-price balancing scheme, prevalent in European electricity markets. In this setting, the profit-maximising strategy becomes an all-or-nothing strategy, aiming to take…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Max Bruninx , Timothy Verstraeten , Jalal Kazempour , Jan Helsen

We consider a one-sided assignment market or exchange network with transferable utility and propose a model for the dynamics of bargaining in such a market. Our dynamical model is local, involving iterative updates of 'offers' based on…

Computer Science and Game Theory · Computer Science 2015-03-14 Mohsen Bayati , Christian Borgs , Jennifer Chayes , Yashodhan Kanoria , Andrea Montanari

With the proliferation of distributed generations, traditional passive consumers in distribution networks are evolving into "prosumers", which can both produce and consume energy. Energy trading with the main grid or between prosumers is…

Optimization and Control · Mathematics 2022-10-06 Yongkai Xie , Zhaojian Wang , John Z. F. Pang , Bo Yang , Xinping Guan

We propose a method to design a decentralized energy market which guarantees individual rationality (IR) in expectation, in the presence of system-level grid constraints. We formulate the market as a welfare maximization problem subject to…

Computational Engineering, Finance, and Science · Computer Science 2018-07-23 Lorenzo Nespoli , Matteo Salani , Vasco Medici

Increased penetration of wind energy will make electricity market prices more volatile. As a result, market participants will bear increased financial risks, which impact investment decisions and in turn, makes it harder to achieve…

Optimization and Control · Mathematics 2021-04-16 Khaled Alshehri , Subhonmesh Bose , Tamer Başar

We investigate the problem of characterizing the economic value of energy storage capacity to a wind power producer (WPP) that sells its energy in a conventional two-settlement electricity market. The WPP can offer a forward contract to…

Optimization and Control · Mathematics 2018-10-01 Eilyan Bitar , Pramod Khargonekar , Kameshwar Poolla

In this paper, we propose a high-level Stochastic steady-state model to analyze the value of co-located energy storage systems for wind power producers that participate in an electricity market through Forward or Day Ahead contracts. In…

Systems and Control · Electrical Eng. & Systems 2022-07-27 Tomas Valencia Zuluaga , Shmuel S. Oren

Electricity market design that accounts for grid constraints such as voltage and thermal limits at the distribution level can increase opportunities for the grid integration of Distributed Energy Resources (DERs). In this paper, we consider…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Zeinab Salehi , Elizabeth L. Ratnam , Yijun Chen , Ian R. Petersen , Guodong Shi , Duncan S. Callaway

In the electricity market, it is quite common that the market participants make "selfish" strategies to harvest the maximum profits for themselves, which may cause the social benefit loss and impair the sustainability of the society in the…

Systems and Control · Electrical Eng. & Systems 2022-05-31 Jianzheng Wang , Yipeng Pang , Guoqiang Hu