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We consider an optimal investment problem to maximize expected utility of the terminal wealth, in an illiquid market with search frictions and transaction costs. In the market model, an investor's attempt of transaction is successful only…

Mathematical Finance · Quantitative Finance 2021-08-18 Jin Hyuk Choi , Tae Ung Gang

We present new formulations of the stochastic electricity market clearing problem based on the principles of stochastic programming. Previous analyses have established that the canonical stochastic programming model effectively captures the…

Systems and Control · Electrical Eng. & Systems 2023-05-11 Sakitha Ariyarathne , Harsha Gangammanavar

This paper studies the efficiency of battery storage operations in electricity markets by comparing the social welfare gain achieved by a central planner to that of a decentralized profit-maximizing operator. The problem is formulated in a…

Computer Science and Game Theory · Computer Science 2026-02-24 Zhile Jiang , Xinhao Nie , Stratis Skoulakis

Equilibrium computation in markets usually considers settings where player valuation functions are known. We consider the setting where player valuations are unknown; using a PAC learning-theoretic framework, we analyze some classes of…

Computer Science and Game Theory · Computer Science 2021-09-10 Vignesh Viswanathan , Omer Lev , Neel Patel , Yair Zick

The topics treated in this thesis are inherently two-fold. The first part considers the problem of a market maker optimally setting bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders…

Optimization and Control · Mathematics 2020-09-15 Diego Zabaljauregui

Efficiently accommodating uncertain renewable resources in wholesale electricity markets is among the foremost priorities of market regulators in the US, UK and EU nations. However, existing deterministic market designs fail to internalize…

Systems and Control · Electrical Eng. & Systems 2019-12-19 Yury Dvorkin

This paper studies real-time bidding mechanisms for economic dispatch and frequency regulation in electrical power networks. We consider a market administered by an independent system operator (ISO) where a group of strategic generators…

Optimization and Control · Mathematics 2018-01-03 Tjerk Stegink , Ashish Cherukuri , Claudio De Persis , Arjan van der Schaft , Jorge Cortés

We study the ex-ante minimization of market inefficiency, defined in terms of minimum deviation of market prices from fundamental values, from a centralized planner's perspective. Prices are pressured from exogenous trading actions of…

Risk Management · Quantitative Finance 2021-05-13 Kerstin Awiszus , Agostino Capponi , Stefan Weber

This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

In this comment we discuss the problem of reconciling the linear efficiency of price returns with the long-memory of supply and demand. We present new evidence that shows that efficiency is maintained by a liquidity imbalance that co-moves…

Physics and Society · Physics 2008-12-02 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Szabolcs Mike

In this work, we use a Stackelberg infinite discrete-time dynamic game model to study the optimal supply schedule and the optimal demand response under a market-driven dynamic price. A two-layer optimization framework is established. At the…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Yunhan Huang

High Frequency Trading (HFT) represents an ever growing proportion of all financial transactions as most markets have now switched to electronic order book systems. The main goal of the paper is to propose continuous time equations which…

Trading and Market Microstructure · Quantitative Finance 2013-12-10 Rene Carmona , Kevin Webster

The paper discusses various practical consequences of treating economics and finance as an inherently dynamic and chaotic system. On the theoretical side this looks at the general applicability of the market-making pricing approach to…

General Finance · Quantitative Finance 2011-05-30 Geoff Willis

This paper proposes a novel continuous Local Flexibility Market where active power flexibility located in the distribution system can be traded. The market design engages the Market Operator, the Distribution System Operator and Market…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Aikaterini A. Forouli , Georgios K. Papazoglou , Emmanouil A. Bakirtzis , Pandelis N. Biskas , Anastasios G. Bakirtzis

This paper presents an application of mean field control to dynamic production optimization. Both noncooperative and cooperative solutions are considered. We first introduce a market of a large number of agents (firms) with sticky prices…

Optimization and Control · Mathematics 2018-10-02 Bingchang Wang , Minyi Huang

The classical theory of efficient allocations of an aggregate endowment in a pure-exchange economy has hitherto primarily focused on the Pareto-efficiency of allocations, under the implicit assumption that transfers between agents are…

Computer Science and Game Theory · Computer Science 2026-03-05 Mario Ghossoub , Giulio Principi , Ruodu Wang

We formulate conditions for the solvability of the problem of robust utility maximization from final wealth in continuous time financial markets, without assuming weak compactness of the densities of the uncertainty set, as customary in the…

Optimization and Control · Mathematics 2015-07-14 Julio Backhoff , Joaquín Fontbona

The accurate prediction of short-term electricity prices is vital for effective trading strategies, power plant scheduling, profit maximisation and efficient system operation. However, uncertainties in supply and demand make such…

Econometrics · Economics 2023-04-20 Mira Watermeyer , Thomas Möbius , Oliver Grothe , Felix Müsgens

In this paper a unifying energy-based approach is provided to the modeling and stability analysis of power systems coupled with market dynamics. We consider a standard model of the power network with a third-order model for the synchronous…

Optimization and Control · Mathematics 2016-07-28 Tjerk Stegink , Claudio De Persis , Arjan van der Schaft

Platform giants in China have operated with persistently compressed margins in highly concentrated markets for much of the past decade, despite market shares exceeding 60\% in core segments. Standard theory predicts otherwise: either the…

Theoretical Economics · Economics 2026-01-23 Liang Chen