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We propose and analyze a day-ahead reserve market model that handles bids from flexible loads. This pool market model takes into account the fact that a load modulation in one direction must usually be compensated later by a modulation of…

Computer Science and Game Theory · Computer Science 2014-05-28 Sébastien Mathieu , Quentin Louveaux , Damien Ernst , Bertrand Cornélusse

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

A minimal model of a market of myopic non-cooperative agents who trade bilaterally with random bids reproduces qualitative features of short-term electric power markets, such as those in California and New England. Each agent knows its own…

Trading and Market Microstructure · Quantitative Finance 2009-05-15 Randall A. LaViolette , Lory A. Ellebracht , Kevin L. Stamber , Charles J. Gieseler , Benjamin K. Cook

Electricity market operators worldwide use mixed-integer linear programming to solve the allocation problem in wholesale electricity markets. Prices are typically determined based on the duals of relaxed versions of this optimization…

Computer Science and Game Theory · Computer Science 2023-12-13 Mete Şeref Ahunbay , Martin Bichler , Teodora Dobos , Johannes Knörr

We consider two market designs for a network of prosumers, trading energy: (i) a centralized design which acts as a benchmark, and (ii) a peer-to-peer market design. High renewable energy penetration requires that the energy market design…

Computer Science and Game Theory · Computer Science 2020-04-07 Ilia Shilov , Hélène Le Cadre , Ana Busic

The social dynamics of residential solar panel use within a theoretical population are studied using a compartmental model. In this study we consider three solar power options commonly available to consumers: the community block, leasing,…

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

General Finance · Quantitative Finance 2016-05-18 Michail Anthropelos

The rising energy prices in Europe and the urgent need to address global warming have sparked a significant increase in the installation of domestic photovoltaic systems to harness solar energy. However, since solar energy is available only…

Optimization and Control · Mathematics 2023-10-17 Tom Nonnenmacher , Jenny Nelson , Benedict Winchester

Energy forecasting has attracted enormous attention over the last few decades, with novel proposals related to the use of heterogeneous data sources, probabilistic forecasting, online learn-ing, etc. A key aspect that emerged is that…

Applications · Statistics 2022-04-05 Pierre Pinson , Liyang Han , Jalal Kazempour

Electricity price forecasting supports decision-making in energy markets and asset operation. Probabilistic forecasts are increasingly adopted to explicitly quantify uncertainty, typically issued as quantile predictions or ensembles of the…

Statistical Finance · Quantitative Finance 2026-04-22 Simon Hirsch , Florian Ziel

This work focuses on the electric power market, comparing the status quo with the recent trend towards the increase in distributed self-generation capabilities by prosumers. Starting from the existing tension between the intrinsically…

Physics and Society · Physics 2020-03-30 Luca Mazzola , Alexander Denzler , Ramon Christen

We formulate a continuous-time competitive equilibrium model of irreversible capacity investment in which a continuum of heterogeneous producers supplies a single non-durable good subject to exogenous stochastic demand. Each producer…

Probability · Mathematics 2025-12-04 Constantinos Kardaras , Alexandros Pavlis , Mihail Zervos

In recent years extensive research has been conducted on the development of different models that enable energy trading between prosumers and consumers due to expected high integration of distributed energy resources. Some of the most…

Market power behaviour often occurs in modern wholesale electricity markets. Mixed Complementarity Problems (MCPs) have been typically used for computational modelling of market power when it is characterised by an oligopoly with…

Optimization and Control · Mathematics 2020-01-13 Mel T. Devine , Sauleh Siddiqui

We consider a portfolio optimization problem in a defaultable market with finitely-many economical regimes, where the investor can dynamically allocate her wealth among a defaultable bond, a stock, and a money market account. The market…

Portfolio Management · Quantitative Finance 2011-09-07 Agostino Capponi , Jose E. Figueroa-Lopez

The coordinated operation of interconnected but locally controlled electricity markets is generally referred to as a "coupling". In this paper we propose a new mechanism design for efficient coupling of independent electricity markets. The…

Optimization and Control · Mathematics 2021-01-13 Alfredo Garcia , Roohallah Khatami , Ceyhun Eksin , Furkan Sezer

Quantity and price risks are key uncertainties market participants face in electricity markets with increased volatility, for instance, due to high shares of renewables. From day ahead until real-time, there is a large variation in the best…

Methodology · Statistics 2025-02-21 Paul E. Seifert , Emil Kraft , Steffen Bakker , Stein-Erik Fleten

We study portfolio selection in a complete continuous-time market where the preference is dictated by the rank-dependent utility. As such a model is inherently time inconsistent due to the underlying probability weighting, we study the…

Mathematical Finance · Quantitative Finance 2020-06-04 Ying Hu , Hanqing Jin , Xun Yu Zhou

In the present paper a model of a market consisting of real and financial interacting sectors is studied. Agents populating the stock market are assumed to be not able to observe the true underlying fundamental, and their beliefs are biased…

General Finance · Quantitative Finance 2018-06-13 Fausto Cavalli , Ahmad Naimzada , Nicolò Pecora , Marina Pireddu

We consider the aggregation of distributed energy resources (DERs), such as solar PV, energy storage, and flexible loads, by a profit-seeking aggregator participating directly in the wholesale market under distribution network access…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Cong Chen , Ahmed S. Alahmed , Timothy D. Mount , Lang Tong