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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

Financial market simulation (FMS) serves as a promising tool for understanding market anomalies and the underlying trading behaviors. To ensure high-fidelity simulations, it is crucial to calibrate the FMS model for generating data closely…

Computational Engineering, Finance, and Science · Computer Science 2025-06-17 Yuanzhe Li , Yue Wu , Muyao Zhong , Shengcai Liu , Peng Yang

The paper considers a general semi-Markov model for Limit Order Books with two states, which incorporates price changes that are not fixed to one tick. Furthermore, we introduce an even more general case of the semi-Markov model for…

Trading and Market Microstructure · Quantitative Finance 2016-08-18 Anatoliy Swishchuk , Katharina Cera , Julia Schmidt , Tyler Hofmeister

In high-frequency trading (HFT), leveraging limit order books (LOB) to model stock price movements is crucial for achieving profitable outcomes. However, this task is challenging due to the high-dimensional and volatile nature of the…

Trading and Market Microstructure · Quantitative Finance 2025-05-30 Jiahao Yang , Ran Fang , Ming Zhang , Jun Zhou

Using simple particle models of limit order markets, we argue that mid-term over-diffusive price behaviour is inherent to the very nature of these markets. Several rules for rate changes are considered. We obtain analytical results for…

Condensed Matter · Physics 2007-05-23 Damien Challet , Robin Stinchcombe

Price gap, defined as the logarithmic price difference between the first two occupied price levels on the same side of a limit order book (LOB), is a key determinant of market depth, which is one of the dimensions of liquidity. However, the…

Trading and Market Microstructure · Quantitative Finance 2018-02-27 Gao-Feng Gu , Xiong Xiong , Yong-Jie Zhang , Wei Chen , Wei Zhang , Wei-Xing Zhou

We develop an empirical behavioural order-driven (EBOD) model, which consists of an order placement process and an order cancellation process. Price limit rules are introduced in the definition of relative price. The order placement process…

Computational Finance · Quantitative Finance 2022-08-23 Gao-Feng Gu , Xiong Xiong , Hai-Chuan Xu , Wei Zhang , Yong-Jie Zhang , Wei Chen , Wei-Xing Zhou

We have analyzed the statistical probabilities of limit-order book (LOB) shape through building the book using the ultra-high-frequency data from 23 liquid stocks traded on the Shenzhen Stock Exchange in 2003. We find that the averaged LOB…

Trading and Market Microstructure · Quantitative Finance 2008-12-02 Gao-Feng Gu , Wei Chen , Wei-Xing Zhou

I present an overview of some recent advancements on the empirical analysis and theoretical modeling of the process of price formation in financial markets as the result of the arrival of orders in a limit order book exchange. After…

Trading and Market Microstructure · Quantitative Finance 2021-05-04 Fabrizio Lillo

We use random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the…

Trading and Market Microstructure · Quantitative Finance 2024-08-07 Dominic Bauer , Derick Diana , Tim Gebbie

We introduce a practical, interactive simulator of the limit order book for large-tick assets, designed to produce realistic execution, costs, and P&L. The book state is projected onto a tractable representation based on spread and volume…

Trading and Market Microstructure · Quantitative Finance 2026-03-26 Patrick Noble , Mathieu Rosenbaum , Saad Souilmi

The latent order book of \cite{donier2015fully} is one of the most promising agent-based models for market impact. This work extends the minimal model by allowing agents to exhibit mean-reversion, a commonly observed pattern in real…

Trading and Market Microstructure · Quantitative Finance 2020-09-07 Ismael Lemhadri

The recent advancements in Deep Learning (DL) research have notably influenced the finance sector. We examine the robustness and generalizability of fifteen state-of-the-art DL models focusing on Stock Price Trend Prediction (SPTP) based on…

Trading and Market Microstructure · Quantitative Finance 2023-09-21 Matteo Prata , Giuseppe Masi , Leonardo Berti , Viviana Arrigoni , Andrea Coletta , Irene Cannistraci , Svitlana Vyetrenko , Paola Velardi , Novella Bartolini

We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial point process, and market clearing, modelled via a…

Mathematical Finance · Quantitative Finance 2023-02-03 Rama Cont , Pierre Degond , Lifan Xuan

We exploit cutting-edge deep learning methodologies to explore the predictability of high-frequency Limit Order Book mid-price changes for a heterogeneous set of stocks traded on the NASDAQ exchange. In so doing, we release `LOBFrame', an…

Trading and Market Microstructure · Quantitative Finance 2024-06-05 Antonio Briola , Silvia Bartolucci , Tomaso Aste

We build an agent-based model for the order book with three types of market participants: informed trader, noise trader and competitive market makers. Using a Glosten-Milgrom like approach, we are able to deduce the whole limit order book…

Trading and Market Microstructure · Quantitative Finance 2025-04-01 Weibing Huang , Sergio Pulido , Mathieu Rosenbaum , Pamela Saliba , Emmanouil Sfendourakis

An ability to postpone one's execution without penalty provides an important strategic advantage in high-frequency trading. To elucidate competition between traders one has to formulate to a quantitative theory of formation of the execution…

Trading and Market Microstructure · Quantitative Finance 2014-06-20 Peter Lerner

We examine the dynamics of the bid and ask queues of a limit order book and their relationship with the intensity of trade arrivals. In particular, we study the probability of price movements and trade arrivals as a function of the quote…

Trading and Market Microstructure · Quantitative Finance 2013-12-03 Alexander Lipton , Umberto Pesavento , Michael G Sotiropoulos

In the domain of the so called Econophysics some attempts already have been made for applying the theory of Thermodynamics and Statistical Mechanics to economics and financial markets. In this paper a similar approach is made from a…

Trading and Market Microstructure · Quantitative Finance 2016-08-24 Alberto Bicci

We study the analytical properties of a one-side order book model in which the flows of limit and market orders are Poisson processes and the distribution of lifetimes of cancelled orders is exponential. Although simplistic, the model…

Trading and Market Microstructure · Quantitative Finance 2019-07-15 Ioane Muni Toke
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