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In this paper we present a novel approach to the determination of fat tails in financial data by studying the information contained in the limit order book. In an order-driven market buyers and sellers may submit limit orders, which are…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Alex Langnau , Yanko Punchev

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

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

The objective of this work is the investigation of complexity, asymmetry, stochasticity and non-linearity of the financial and economic systems by using the tools of statistical mechanics and information theory. More precisely, this thesis…

Statistical Finance · Quantitative Finance 2024-08-30 Rubina Zadourian

Latent order book models have allowed for significant progress in our understanding of price formation in financial markets. In particular they are able to reproduce a number of stylized facts, such as the square-root impact law. An…

Trading and Market Microstructure · Quantitative Finance 2019-10-02 Lorenzo Dall'Amico , Antoine Fosset , Jean-Philippe Bouchaud , Michael Benzaquen

In this work we introduce two variants of multivariate Hawkes models with an explicit dependency on various queue sizes aimed at modeling the stochastic time evolution of a limit order book. The models we propose thus integrate the…

Trading and Market Microstructure · Quantitative Finance 2019-01-28 Peng Wu , Marcello Rambaldi , Jean-François Muzy , Emmanuel Bacry

A dynamic herding model with interactions of trading volumes is introduced. At time $t$, an agent trades with a probability, which depends on the ratio of the total trading volume at time $t-1$ to its own trading volume at its last trade.…

Trading and Market Microstructure · Quantitative Finance 2009-11-03 F. Ren , B. Zheng , P. Chen

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

In this paper we study the high frequency dynamic of financial volumes of traded stocks by using a semi-Markov approach. More precisely we assume that the intraday logarithmic change of volume is described by a weighted-indexed semi-Markov…

Statistical Finance · Quantitative Finance 2017-09-19 Guglielmo D'Amico , Filippo Petroni

We introduce and treat rigorously a new multi-agent model of the continuous double auction or in other words the order book (OB). It is designed to explain collective behaviour of the market when new information affecting the market…

Trading and Market Microstructure · Quantitative Finance 2016-02-19 A. Lykov , S. Muzychka , K. Vaninsky

We address the problem of executing large client orders in continuous double-auction markets under time and liquidity constraints. We propose a model predictive control (MPC) framework that balances three competing objectives: order…

Trading and Market Microstructure · Quantitative Finance 2026-04-01 Thomas P. McAuliffe , Samuel Liew , Yuchao Li , Andrey Ushenin , Chihang Wang , Alexandros Tasos , Jack Pearce , Dimitris Tasoulis , Dimitri P. Bertsekas , Theodoros Tsagaris

Tick-sizes not only influence the granularity of the price formation process but also affect market agents' behavior. We investigate the disparity in the microstructural properties of the Limit Order Book (LOB) across a basket of assets…

Trading and Market Microstructure · Quantitative Finance 2025-08-05 Konark Jain , Jean-François Muzy , Jonathan Kochems , Emmanuel Bacry

In this work, we present a continuous-time large-population game for modeling market microstructure betweentwo consecutive trades. The proposed modeling framework is inspired by our previous work [23]. In this framework, the Limit Order…

Trading and Market Microstructure · Quantitative Finance 2017-06-21 Roman Gayduk , Sergey Nadtochiy

Limit Order Books (LOBs) serve as a mechanism for buyers and sellers to interact with each other in the financial markets. Modelling and simulating LOBs is quite often necessary for calibrating and fine-tuning the automated trading…

Trading and Market Microstructure · Quantitative Finance 2024-03-04 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

A model for the phenomenological description of tick-by-tick share prices in a stock exchange is introduced. It is based on mixtures of compound Poisson processes. Preliminary results based on Monte Carlo simulation show that this model can…

Physics and Society · Physics 2015-06-26 Enrico Scalas

Air transportation is a complex system characterised by a plethora of interactions at multiple temporal and spatial scales; as a consequence, even simple dynamics like sequencing aircraft for landing can lead to the appearance of emergent…

Data Analysis, Statistics and Probability · Physics 2023-04-12 Felipe Olivares , Luciano Zunino , Massimiliano Zanin

Trading volume movement prediction is the key in a variety of financial applications. Despite its importance, there is few research on this topic because of its requirement for comprehensive understanding of information from different…

Statistical Finance · Quantitative Finance 2021-08-26 Liang Zhao , Wei Li , Ruihan Bao , Keiko Harimoto , YunfangWu , Xu Sun

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

We introduce a Markovian single point process model, with random intensity regulated through a buffer mechanism and a self-exciting effect controlling the arrival stream to the buffer. The model applies the principle of the Hawkes process…

Probability · Mathematics 2017-10-12 Ingemar Kaj , Mine Caglar

We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential,…

Statistical Mechanics · Physics 2009-11-07 Naoki Kozuki , Nobuko Fuchikami