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Related papers: Limit Order Books

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R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion…

Mathematical Finance · Quantitative Finance 2016-01-11 Anatoliy Swishchuk , Nelson Vadori

Continuous double auctions such as the limit order book employed by exchanges are widely used in practice to match buyers and sellers of a variety of financial instruments. In this work, we develop an agent-based model for trading in a…

Computational Finance · Quantitative Finance 2021-11-01 Mahmoud Mahfouz , Tucker Balch , Manuela Veloso , Danilo Mandic

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 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

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We propose a class of stochastic models for a dynamics of limit order book with different type of liquidities. Within this class of models we study the one where a spread decreases uniformly, belonging to the class of processes known as a…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Helder Rojas , Artem Logachov , Anatoly Yambartsev

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

We investigate several statistical properties of the order book of three liquid stocks of the Paris Bourse. The results are to a large degree independent of the stock studied. The most interesting features concern (i) the statistics of…

Condensed Matter · Physics 2007-05-23 J. -P. Bouchaud , M. Mezard , M. Potters

In this paper, we conduct a systematic large-scale analysis of order book-driven predictability in high-frequency returns by leveraging deep learning techniques. First, we introduce a new and robust representation of the order book, the…

Computational Finance · Quantitative Finance 2023-10-10 Lorenzo Lucchese , Mikko Pakkanen , Almut Veraart

We introduce and study a simple model of a limit order-driven market. Traders in this model can either trade at the market price or place a limit order, i.e. an instruction to buy (sell) a certain amount of the stock if its price falls…

Statistical Mechanics · Physics 2009-10-31 Sergei Maslov

In this study, we introduce a physical model inspired by statistical physics for predicting price volatility and expected returns by leveraging Level 3 order book data. By drawing parallels between orders in the limit order book and…

Trading and Market Microstructure · Quantitative Finance 2024-06-26 Haochen Li , Yi Cao , Maria Polukarov , Carmine Ventre

A consistency criterion for price impact functions in limit order markets is proposed that prohibits chain arbitrage exploitation. Both the bid-ask spread and the feedback of sequential market orders of the same kind onto both sides of the…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Damien Challet

Matching markets are of particular interest in computer science and economics literature as they are often used to model real-world phenomena where we aim to equitably distribute a limited amount of resources to multiple agents and…

Computer Science and Game Theory · Computer Science 2021-10-01 Andrew Yang , Bruce Changlong Xu , Ivan Villa-Renteria

Conventional models of matching markets assume that monetary transfers can clear markets by compensating for utility differentials. However, empirical patterns show that such transfers often fail to close structural preference gaps. This…

Trading and Market Microstructure · Quantitative Finance 2025-11-27 Yao Wu

In this article, we delve into the applications and extensions of the queue-reactive model for the simulation of limit order books. Our approach emphasizes the importance of order sizes, in conjunction with their type and arrival rate, by…

Trading and Market Microstructure · Quantitative Finance 2024-05-30 Hamza Bodor , Laurent Carlier

Prediction problems in finance go beyond estimating the unknown parameters of a model (e.g. of expected returns). This is because such a model would have to include parameters governing the market participants' propensity to change their…

General Finance · Quantitative Finance 2019-08-20 Matthias Feiler , Thibaut Ajdler

Bandit algorithms solve diverse sequential decision-making problems, but are often too sample-inefficient for from-scratch personalization. To substantially reduce exploration times, latent bandit algorithms exploit cross-instance structure…

Machine Learning · Computer Science 2026-05-11 Emil Carlsson , Newton Mwai , Fredrik D. Johansson

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

Algorithmic trading requires short-term tactical decisions consistent with long-term financial objectives. Reinforcement Learning (RL) has been applied to such problems, but adoption is limited by myopic behaviour and opaque policies. Large…

Machine Learning · Computer Science 2025-10-28 Adam Darmanin , Vince Vella

Multi-agent market simulators usually require careful calibration to emulate real markets, which includes the number and the type of agents. Poorly calibrated simulators can lead to misleading conclusions, potentially causing severe loss…

Trading and Market Microstructure · Quantitative Finance 2022-10-19 Andrea Coletta , Aymeric Moulin , Svitlana Vyetrenko , Tucker Balch
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