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In this work, we propose an order book model with herd behavior. The proposed model is built upon two distinct approaches: a recent empirical study of the detailed order book records by Kanazawa et al. [Phys. Rev. Lett. 120, 138301] and…

Statistical Finance · Quantitative Finance 2019-04-09 Aleksejus Kononovicius , Julius Ruseckas

We introduce a new model in order to describe the fluctuation of tick-by-tick financial time series. Our model, based on marked point process, allows us to incorporate in a unique process the duration of the transaction and the…

Trading and Market Microstructure · Quantitative Finance 2012-11-21 Alexis Fauth , Ciprian A. Tudor

Order flow imbalance can explain short-term changes in stock price. This paper considers the change of non-minimum quotation units in real transactions, and proposes a generalized order flow imbalance construction method to improve Order…

Trading and Market Microstructure · Quantitative Finance 2021-12-07 Yuhan Su , Zeyu Sun , Jiarong Li , Xianghui Yuan

This paper addresses the challenges faced in large-volume trading, where executing substantial orders can result in significant market impact and slippage. To mitigate these effects, this study proposes a volatility-volume-based order…

Computational Finance · Quantitative Finance 2024-12-18 Ritwika Chattopadhyay , Abhishek Malichkar , Zhixuan Ren , Xinyue Zhang

Market making is one of the most important aspects of algorithmic trading, and it has been studied quite extensively from a theoretical point of view. The practical implementation of so-called "optimal strategies" however suffers from the…

Trading and Market Microstructure · Quantitative Finance 2018-06-14 Xiaofei Lu , Frédéric Abergel

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 this study, we introduce an explicit trading-volume process into the Almgren-Chriss model, which is a standard model for optimal execution. We propose a penalization method for deriving a verification theorem for an adaptive optimization…

Trading and Market Microstructure · Quantitative Finance 2017-08-25 Takashi Kato

We propose a stochastic game modelling the strategic interaction between market makers and traders of optimal execution type. For traders, the permanent price impact commonly attributed to them is replaced by quoting strategies implemented…

Trading and Market Microstructure · Quantitative Finance 2025-04-10 Ivan Guo , Shijia Jin

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 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 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

We present a general Markovian framework for order book modeling. Through our approach, we aim at providing a tool enabling to get a better understanding of the price formation process and of the link between microscopic and macroscopic…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Weibing Huang , Mathieu Rosenbaum

We develop a new market-making model, from the ground up, which is tailored towards high-frequency trading under a limit order book (LOB), based on the well-known classification of order types in market microstructure. Our flexible…

Trading and Market Microstructure · Quantitative Finance 2020-01-31 Baron Law , Frederi Viens

Digital marketplaces processing billions of dollars annually represent critical infrastructure in sociotechnical ecosystems, yet their performance optimization lacks principled measurement frameworks that can inform algorithmic governance…

Machine Learning · Computer Science 2026-04-27 Thomas Asikis , Heinrich H. Nax

This paper considers a Markovian model of a limit order book where time-dependent rates are allowed. With the objective of understanding the mechanisms through which a microscopic model of an orderbook can converge to more general diffusion…

Computational Finance · Quantitative Finance 2023-02-03 Jonathan A. Chávez-Casillas

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

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 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

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

Physics and Society · Physics 2008-12-02 Szabolcs Mike , J. Doyne Farmer

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo