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In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

In this paper, the problem of energy trading between smart grid prosumers, who can simultaneously consume and produce energy, and a grid power company is studied. The problem is formulated as a single-leader, multiple-follower Stackelberg…

Computer Science and Game Theory · Computer Science 2017-09-19 Georges El Rahi , S. Rasoul Etesami , Walid Saad , Narayan Mandayam , H. Vincent Poor

In recent works by Yang et al. (2017a,b), and Yagli et al. (2019), geographical, temporal, and sequential deterministic reconciliation of hierarchical photovoltaic (PV) power generation have been considered for a simulated PV dataset in…

Applications · Statistics 2022-09-16 Tommaso Di Fonzo , Daniele Girolimetto

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

This study investigates the integration of forecasting and optimization in energy management systems, with a focus on the role of switching costs -- penalties incurred from frequent operational adjustments. We develop a theoretical and…

Systems and Control · Electrical Eng. & Systems 2025-04-16 Evgenii Genov , Julian Ruddick , Christoph Bergmeir , Majid Vafaeipour , Thierry Coosemans , Salvador Garcia , Maarten Messagie

Principal agent games are a growing area of research which focuses on the optimal behaviour of a principal and an agent, with the former contracting work from the latter, in return for providing a monetary award. While this field…

Mathematical Finance · Quantitative Finance 2022-06-28 Dena Firoozi , Arvind V Shrivats , Sebastian Jaimungal

Electricity price forecasting is a critical tool for the efficient operation of power systems and for supporting informed decision-making by market participants. This paper explores a novel methodology aimed at improving the accuracy of…

Applications · Statistics 2025-01-13 Bartosz Uniejewski , Florian Ziel

Forecast combination involves using multiple forecasts to create a single, more accurate prediction. Recently, feature-based forecasting has been employed to either select the most appropriate forecasting models or to optimize the weights…

Machine Learning · Computer Science 2023-12-14 Giovanni Felici , Antonio M. Sudoso

Spot electricity markets are considered under a Game-Theoretic framework, where risk averse players submit orders to the market clearing mechanism to maximise their own utility. Consistent with the current practice in Europe, the market…

Computer Science and Game Theory · Computer Science 2022-08-31 Ioan Alexandru Puiu , Raphael Andreas Hauser

This paper studies how to aggregate prosumers (or large consumers) and their collective decisions in electricity markets, with a focus on fairness. Fairness is essential for prosumers to participate in aggregation schemes. Some prosumers…

Optimization and Control · Mathematics 2024-09-02 Zoé Fornier , Vincent Leclère , Pierre Pinson

This paper proposes a novel method for demand forecasting in a pricing context. Here, modeling the causal relationship between price as an input variable to demand is crucial because retailers aim to set prices in a (profit) optimal manner…

Bidding in simultaneous auctions is challenging because an agent's value for a good in one auction may depend on the uncertain outcome of other auctions: the so-called exposure problem. Given the gap in understanding of general simultaneous…

Computer Science and Game Theory · Computer Science 2012-10-19 Michael P. Wellman , Eric Sodomka , Amy Greenwald

This paper uses Nash equilibrium reversion as an optimal tool for clearing dynamic prices and wages. Various exogenous competitive rigidities determine the balanced growth path of the efficiency wage and the outcome of repeated…

Theoretical Economics · Economics 2025-11-05 Alfred A. B. Mayaki

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

This paper proposes a novel approach for optimal energy and reserve scheduling of wind farms by explicitly modelling wake interactions to enhance market participation and operational efficiency. Conventional methods often neglect wake…

Fluid Dynamics · Physics 2026-04-14 Marin Mabboux-Fort , Majid Bastankhah , Peter C Matthews , Mokhtar Bozorg

In this paper, we propose a machine learning approach for forecasting hierarchical time series. When dealing with hierarchical time series, apart from generating accurate forecasts, one needs to select a suitable method for producing…

Machine Learning · Computer Science 2021-07-12 Paolo Mancuso , Veronica Piccialli , Antonio M. Sudoso

Coordination in multiplayer games enables players to avoid the lose-lose outcome that often arises at Nash equilibria. However, designing a coordination mechanism typically requires the consideration of the joint actions of all players,…

Computer Science and Game Theory · Computer Science 2026-03-23 Jaehan Im , Yue Yu , David Fridovich-Keil , Ufuk Topcu

Electricity price forecasting has become a critical tool for decision-making in energy markets, particularly as the increasing penetration of renewable energy introduces greater volatility and uncertainty. Historically, research in this…

Statistical Finance · Quantitative Finance 2025-11-11 Ciaran O'Connor , Mohamed Bahloul , Steven Prestwich , Andrea Visentin

Methods for forecasting time series adhering to linear constraints have seen notable development in recent years, especially with the advent of forecast reconciliation. This paper extends forecast reconciliation to the open question of…

Methodology · Statistics 2025-10-27 Daniele Girolimetto , Anastasios Panagiotelis , Tommaso Di Fonzo , Han Li

We present a new combined \textit{mean field control game} (MFCG) problem which can be interpreted as a competitive game between collaborating groups and its solution as a Nash equilibrium between groups. Players coordinate their strategies…

Optimization and Control · Mathematics 2023-02-16 Andrea Angiuli , Nils Detering , Jean-Pierre Fouque , Mathieu Lauriere , Jimin Lin
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