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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

Within a common arbitrage-free semimartingale financial market we consider the problem of determining all Nash equilibrium investment strategies for $n$ agents who try to maximize the expected utility of their relative wealth. The utility…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Tamara Göll

This paper tackles the problem of how two selfish users jointly determine the operating point in the achievable rate region of a two-user Gaussian interference channel through bargaining. In previous work, incentive conditions for two users…

Information Theory · Computer Science 2010-10-05 Xi Liu , Elza Erkip

In uniform-price markets, suppliers compete to supply a resource to consumers, resulting in a single market price determined by their competition. For sufficient flexibility, producers and consumers prefer to commit to a function as their…

Computer Science and Game Theory · Computer Science 2024-03-15 Abdullah Alawad , Muhammad Aneeq uz Zaman , Khaled Alshehri , Tamer Başar

In this paper, we study the Nash dynamics of strategic interplays of n buyers in a matching market setup by a seller, the market maker. Taking the standard market equilibrium approach, upon receiving submitted bid vectors from the buyers,…

Computer Science and Game Theory · Computer Science 2011-03-23 Ning Chen , Xiaotie Deng

Opponent modeling methods typically involve two crucial steps: building a belief distribution over opponents' strategies, and exploiting this opponent model by playing a best response. However, existing approaches typically require…

Artificial Intelligence · Computer Science 2026-04-07 Zun Li , Marc Lanctot , Kevin R. McKee , Luke Marris , Ian Gemp , Daniel Hennes , Paul Muller , Kate Larson , Yoram Bachrach , Michael P. Wellman

Efficiently integrating renewable resources into electricity markets is vital for addressing the challenges of matching real-time supply and demand while reducing the significant energy wastage resulting from curtailments. To address this…

Machine Learning · Computer Science 2024-06-21 Ciaran O'Connor , Joseph Collins , Steven Prestwich , Andrea Visentin

In this paper, we introduce a preliminary model for interactions in the data market. Recent research has shown ways in which a data aggregator can design mechanisms for users to ensure the quality of data, even in situations where the users…

Computer Science and Game Theory · Computer Science 2017-04-06 Tyler Westenbroek , Roy Dong , Lillian J. Ratliff , S. Shankar Sastry

Motivated by the emergence of local groundwater exchanges, we construct and analyze stochastic models of dynamic groundwater markets. Our primary focus is endogenizing the price formation and groundwater pumping strategies in a closed…

Trading and Market Microstructure · Quantitative Finance 2026-05-27 Igor Cialenco , Michael Ludkovski

We propose a scenario-oriented approach for energy-reserve joint procurement and pricing for electricity market. In this model, without the empirical reserve requirements, reserve is procured according to all possible contingencies and…

Systems and Control · Electrical Eng. & Systems 2020-11-23 Jiantao Shi , Ye Guo , Lang Tong , Wenchuan Wu , Hongbin Sun

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

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

We consider a personalized pricing problem in which we have data consisting of feature information, historical pricing decisions, and binary realized demand. The goal is to perform off-policy evaluation for a new personalized pricing policy…

Machine Learning · Statistics 2023-02-27 Adam N. Elmachtoub , Vishal Gupta , Yunfan Zhao

In this paper, we derive a temporal arbitrage policy for storage via reinforcement learning. Real-time price arbitrage is an important source of revenue for storage units, but designing good strategies have proven to be difficult because of…

Systems and Control · Computer Science 2020-10-27 Hao Wang , Baosen Zhang

An increasing share of energy is produced from renewable sources by many small producers. The efficiency of those sources is volatile and, to some extent, random, exacerbating the problem of energy market balancing. In many countries, this…

Machine Learning · Computer Science 2024-02-15 Łukasz Lepak , Paweł Wawrzyński

Wind power forecasting is essential to power system operation and electricity markets. As abundant data became available thanks to the deployment of measurement infrastructures and the democratization of meteorological modelling, extensive…

Applications · Statistics 2023-11-30 Honglin Wen , Pierre Pinson , Jie Gu , Zhijian Jin

We study the optimal trading policies for a wind energy producer who aims to sell the future production in the open forward, spot, intraday and adjustment markets, and who has access to imperfect dynamically updated forecasts of the future…

Trading and Market Microstructure · Quantitative Finance 2016-10-17 Zongjun Tan , Peter Tankov

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

Modern robots require accurate forecasts to make optimal decisions in the real world. For example, self-driving cars need an accurate forecast of other agents' future actions to plan safe trajectories. Current methods rely heavily on…

Robotics · Computer Science 2023-04-06 Shubhankar Agarwal , David Fridovich-Keil , Sandeep P. Chinchali

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

Machine Learning · Statistics 2018-06-07 Xingyu Wang , Diego Klabjan