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In this paper we formulate an optimization approach to schedule electrical loads given a short term prediction of time-varying power production and the ability to store only a limited amount of electrical energy. The proposed approach is…

Optimization and Control · Mathematics 2016-11-15 Raymond A. de Callafon , Abdulelah H. Habib , Jan Kleissl

An existing challenge in power systems is the implementation of optimal demand management through dynamic pricing. This paper encompasses the design, analysis and implementation of a novel on-line pricing scheme based on coalitional game…

Optimization and Control · Mathematics 2024-07-16 Fernando Genis Mendoza , Pablo R Baldivieso Monasterios , Dario Bauso , George Konstantopoulos

Machine learning (especially reinforcement learning) methods for trading are increasingly reliant on simulation for agent training and testing. Furthermore, simulation is important for validation of hand-coded trading strategies and for…

Trading and Market Microstructure · Quantitative Finance 2019-12-12 Svitlana Vyetrenko , David Byrd , Nick Petosa , Mahmoud Mahfouz , Danial Dervovic , Manuela Veloso , Tucker Hybinette Balch

We consider optimal execution strategies for block market orders placed in a limit order book (LOB). We build on the resilience model proposed by Obizhaeva and Wang (2005) but allow for a general shape of the LOB defined via a given density…

Trading and Market Microstructure · Quantitative Finance 2010-02-03 Aurélien Alfonsi , Antje Fruth , Alexander Schied

Hydro storage system optimization is becoming one of the most challenging tasks in Energy Finance. While currently the state-of-the-art of the commercial software in the industry implements mainly linear models, we would like to introduce…

Risk Management · Quantitative Finance 2017-08-28 Simone Farinelli , Luisa Tibiletti

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

The availability of historical data related to electricity day-ahead prices and to the underlying price formation process is limited. In addition, the electricity market in Europe is facing a rapid transformation, which limits the…

Applications · Statistics 2023-06-27 Raffaele Sgarlato

This paper introduces a new algorithmic execution model that integrates interbank limit and market orders with internal liquidity generated through market making. Based on the Cartea et al.\cite{cartea2015algorithmic} framework, we…

Trading and Market Microstructure · Quantitative Finance 2025-05-16 Yusuke Morimoto

We present a class of macroscopic models of the Limit Order Book to simulate the aggregate behaviour of market makers in response to trading flows. The resulting models are solved numerically and asymptotically, and a class of similarity…

Trading and Market Microstructure · Quantitative Finance 2020-12-09 Jan Rosenzweig

We establish a first and second-order approximation for an infinite dimensional limit order book model (LOB) in a single (''critical'') scaling regime where market and limit orders arrive at a common time scale. With our choice of scaling…

Mathematical Finance · Quantitative Finance 2024-09-27 Ulrich Horst , Dörte Kreher , Konstantins Starovoitovs

We consider a stochastic model for the dynamics of the two-sided limit order book (LOB). Our model is flexible enough to allow for a dependence of the price dynamics on volumes. For the joint dynamics of best bid and ask prices and the…

Mathematical Finance · Quantitative Finance 2016-08-04 Christian Bayer , Ulrich Horst , Jinniao Qiu

The article is an empirical study of market impact through order book events. It describes a mechanism of extracting an average participation rate and a market impact of small orders which represent individual slices of large metaorders.…

Trading and Market Microstructure · Quantitative Finance 2022-01-11 Oleh Danyliv

We analyze a tractable model of a limit order book on short time scales, where the dynamics are driven by stochastic fluctuations between supply and demand. We establish the existence of a limiting distribution for the highest bid, and for…

Trading and Market Microstructure · Quantitative Finance 2017-03-24 Frank Kelly , Elena Yudovina

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

Statistical Finance · Quantitative Finance 2024-07-01 Andrei Renatovich Batyrov

This paper investigates real-time detection of spoofing activity in limit order books, focusing on cryptocurrency centralized exchanges. We first introduce novel order flow variables based on multi-scale Hawkes processes that account both…

Trading and Market Microstructure · Quantitative Finance 2025-04-23 Timothée Fabre , Damien Challet

Price based demand response schemes may significantly improve power system efficiency. Additionally, it is desired that such schemes yield improved power operation, by reducing the peak consumption. This paper proposes the Intraday Block…

Optimization and Control · Mathematics 2023-01-31 Carolina Cortez , Andreas Kasis , Dimitrios Papadaskalopoulos , Stelios Timotheou

We develop a novel observation-driven model for high-frequency prices. We account for irregularly spaced observations, simultaneous transactions, discreteness of prices, and market microstructure noise. The relation between trade durations…

Statistical Finance · Quantitative Finance 2024-05-09 Vladimír Holý

In this paper, the problem of optimal dynamic pricing for retail electricity with an unknown demand model is considered. Under the day-ahead dynamic pricing (a.k.a. real time pricing) mechanism, a retailer obtains electricity in a…

Optimization and Control · Mathematics 2014-04-07 Liyan Jia , Lang Tong , Qing Zhao

In the present work we introduce a novel multi-agent model with the aim to reproduce the dynamics of a double auction market at microscopic time scale through a faithful simulation of the matching mechanics in the limit order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-05-18 Marco Bartolozzi

In an order-driven financial market, the price of a financial asset is discovered through the interaction of orders - requests to buy or sell at a particular price - that are posted to the public limit order book (LOB). Therefore, LOB data…

Trading and Market Microstructure · Quantitative Finance 2021-03-03 Zijian Shi , Yu Chen , John Cartlidge