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We consider the scenario where $N$ utilities strategically bid for electricity in the day-ahead market and balance the mismatch between the committed supply and actual demand in the real-time market, with uncertainty in demand and local…

Systems and Control · Electrical Eng. & Systems 2021-09-15 Tianyu Zhao , Hanling Yi , Minghua Chen , Chenye Wu , Yunjian Xu

This paper introduces a high frequency trade execution model to evaluate the economic impact of supervised machine learners. Extending the concept of a confusion matrix, we present a 'trade information matrix' to attribute the expected…

Trading and Market Microstructure · Quantitative Finance 2017-12-06 Matthew F Dixon

Trading frictions are stochastic. They are, moreover, in many instances fast-mean reverting. Here, we study how to optimally trade in a market with stochastic price impact and study approximations to the resulting optimal control problem…

Mathematical Finance · Quantitative Finance 2023-08-25 Jean-Pierre Fouque , Sebastian Jaimungal , Yuri F. Saporito

This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

Mathematical Finance · Quantitative Finance 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

This paper develops a strategic model of trade between two regions in which, depending on the relation among output, financial resources and transportation costs, the adjustment of prices towards an equilibrium is studied. We derive…

Optimization and Control · Mathematics 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

We consider the general problem of a set of agents trading a portfolio of assets in the presence of transient price impact and additional quadratic transaction costs and we study, with analytical and numerical methods, the resulting Nash…

Trading and Market Microstructure · Quantitative Finance 2021-11-30 Francesco Cordoni , Fabrizio Lillo

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

We study a toy two-player game for periodic double auction markets to generate liquidity. The game has imperfect information, which allows us to link market spreads with signal strength. We characterize Nash equilibria in cases with or…

Trading and Market Microstructure · Quantitative Finance 2023-08-01 Joffrey Derchu , Dimitrios Kavvathas , Thibaut Mastrolia , Mathieu Rosenbaum

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

Computer Science and Game Theory · Computer Science 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

We investigate time-inconsistent portfolio problems under a broader class of monotone mean-variance (MMV) preferences. Since the optimal strategies for MMV and mean-variance (MV) preferences coincide, the MMV optimal strategies at different…

Optimization and Control · Mathematics 2026-04-21 Yike Wang , Yusha Chen , Jingzhen Liu

This paper establishes a new and comprehensive theoretical analysis for the application of reinforcement learning (RL) in high-frequency market making. We bridge the modern RL theory and the continuous-time statistical models in…

Trading and Market Microstructure · Quantitative Finance 2024-08-13 Yuheng Zheng , Zihan Ding

We study linear Fisher markets with satiation. In these markets, sellers have earning limits and buyers have utility limits. Beyond natural applications in economics, these markets arise in the context of maximizing Nash social welfare when…

Data Structures and Algorithms · Computer Science 2019-08-01 Jugal Garg , Martin Hoefer , Kurt Mehlhorn

We explore stability and fairness considerations in decentralized networked markets with bilateral contracts, building on the trading networks framework [Hatfield et al., 2013]. In our trading network game, we show that a well-defined…

Theoretical Economics · Economics 2026-02-25 Simon Finster , Paul W. Goldberg , Edwin Lock , Matilde Tullii

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

High-frequency market making is a liquidity-providing trading strategy that simultaneously generates many bids and asks for a security at ultra-low latency while maintaining a relatively neutral position. The strategy makes a profit from…

Computational Engineering, Finance, and Science · Computer Science 2021-10-01 Pankaj Kumar

This paper develops a new methodology for studying continuous-time Nash equilibrium in a financial market with asymmetrically informed agents. This approach allows us to lift the restriction of risk neutrality imposed on market makers by…

Probability · Mathematics 2016-09-05 Umut Çetin , Albina Danilova

Uncertainty in the output power of large-scale wind power plants (WPPs) can face the electricity market players with undesirable profit variations. Market players can hedge themselves against these risks by participating in forward…

Systems and Control · Electrical Eng. & Systems 2023-10-16 Mohsen Banaei , Majid Oloomi Buygi , Hani Raouf-Sheybani , Razgar Ebrahimy , Henrik Madsen

The realm of High-Frequency Trading (HFT) is characterized by rapid decision-making processes that capitalize on fleeting market inefficiencies. As the financial markets become increasingly competitive, there is a pressing need for…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Soumyadip Sarkar

This study explores the design of an efficient rebate policy in auction markets, focusing on a continuous-time setting with competition among market participants. In this model, a stock exchange collects transaction fees from auction…

Trading and Market Microstructure · Quantitative Finance 2025-01-23 Thibaut Mastrolia , Tianrui Xu

In recent years, high-frequency trading has emerged as a crucial strategy in stock trading. This study aims to develop an advanced high-frequency trading algorithm and compare the performance of three different mathematical models: the…

Trading and Market Microstructure · Quantitative Finance 2023-11-21 Jiahao Chen , Xiaofei Li