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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

The stochastic control problem of optimal market making is among the central problems in quantitative finance. In this paper, a deep reinforcement learning-based controller is trained on a weakly consistent, multivariate Hawkes…

General Finance · Quantitative Finance 2022-07-21 Bruno Gašperov , Zvonko Kostanjčar

In this paper, we propose an event-driven Limit Order Book (LOB) model that captures twelve of the most observed LOB events in exchange-based financial markets. To model these events, we propose using the state-of-the-art Neural Hawkes…

Computational Finance · Quantitative Finance 2025-09-19 Luca Lalor , Anatoliy Swishchuk

We investigate the mechanisms by which medium-frequency trading agents are adversely selected by opportunistic high-frequency traders. We use reinforcement learning (RL) within a Hawkes Limit Order Book (LOB) model in order to replicate the…

Trading and Market Microstructure · Quantitative Finance 2025-11-03 Ali Raza Jafree , Konark Jain , Nick Firoozye

Market making (MM) is an important research topic in quantitative finance, the agent needs to continuously optimize ask and bid quotes to provide liquidity and make profits. The limit order book (LOB) contains information on all active…

Computational Finance · Quantitative Finance 2023-05-26 Hong Guo , Jianwu Lin , Fanlin Huang

Hawkes Process has been used to model Limit Order Book (LOB) dynamics in several ways in the literature however the focus has been limited to capturing the inter-event times while the order size is usually assumed to be constant. We propose…

Trading and Market Microstructure · Quantitative Finance 2024-08-15 Konark Jain , Nick Firoozye , Jonathan Kochems , Philip Treleaven

We address the problem of combined stochastic and impulse control for a market maker operating in a limit order book. The problem is formulated as a Hamilton-Jacobi-Bellman quasi-variational inequality (HJBQVI). We propose an implicit…

Mathematical Finance · Quantitative Finance 2025-12-25 Alexey Meteykin

We propose a microstructural modeling framework for studying optimal market making policies in a FIFO (first in first out) limit order book (LOB). In this context, the limit orders, market orders, and cancel orders arrivals in the LOB are…

Trading and Market Microstructure · Quantitative Finance 2020-02-21 Frédéric Abergel , Côme Huré , Huyên Pham

We present a reproducible research framework for market microstructure combining a deterministic C++ limit order book (LOB) simulator with stochastic order flow generated by multivariate marked Hawkes processes. The paper derives full…

Trading and Market Microstructure · Quantitative Finance 2025-10-10 Sohaib El Karmi

Optimal order execution is widely studied by industry practitioners and academic researchers because it determines the profitability of investment decisions and high-level trading strategies, particularly those involving large volumes of…

Trading and Market Microstructure · Quantitative Finance 2020-09-15 Michaël Karpe , Jin Fang , Zhongyao Ma , Chen Wang

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 propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

We develop a deep reinforcement learning (RL) framework for an optimal market-making (MM) trading problem, specifically focusing on price processes with semi-Markov and Hawkes Jump-Diffusion dynamics. We begin by discussing the basics of RL…

Computational Finance · Quantitative Finance 2025-03-03 Luca Lalor , Anatoliy Swishchuk

A novel high-frequency market-making approach in discrete time is proposed that admits closed-form solutions. By taking advantage of demand functions that are linear in the quoted bid and ask spreads with random coefficients, we model the…

Trading and Market Microstructure · Quantitative Finance 2024-05-21 Jonathan Chávez-Casillas , José E. Figueroa-López , Chuyi Yu , Yi Zhang

\noindent We address the issue of market making on electronic markets when taking into account the clustering and long memory properties of market order flows. We consider a market model with one market maker and order flows driven by…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Paul Jusselin

We demonstrate an application of risk-sensitive reinforcement learning to optimizing execution in limit order book markets. We represent taking order execution decisions based on limit order book knowledge by a Markov Decision Process; and…

Trading and Market Microstructure · Quantitative Finance 2021-01-07 Svitlana Vyetrenko , Shaojie Xu

Market makers continuously set bid and ask quotes for the stocks they have under consideration. Hence they face a complex optimization problem in which their return, based on the bid-ask spread they quote and the frequency at which they…

Trading and Market Microstructure · Quantitative Finance 2015-03-19 Olivier Guéant , Charles-Albert Lehalle , Joaquin Fernandez Tapia

Deep Reinforcement Learning (RL) has shown remarkable success in robotics with complex and heterogeneous dynamics. However, its vulnerability to unknown disturbances and adversarial attacks remains a significant challenge. In this paper, we…

Robotics · Computer Science 2024-10-01 Hanyang Hu , Xilun Zhang , Xubo Lyu , Mo Chen

We propose a limit order book (LOB) model with dynamics that account for both the impact of the most recent order and the shape of the LOB. We present an empirical analysis showing that the type of the last order significantly alters the…

Trading and Market Microstructure · Quantitative Finance 2017-10-31 Federico Gonzalez , Mark Schervish

We propose and analyze a randomization scheme for a general class of impulse control problems. The solution to this randomized problem is characterized as the fixed point of a compound operator which consists of a regularized nonlocal…

Optimization and Control · Mathematics 2026-05-26 Haoyang Cao , Yuchao Dong , Zhouhao Yang
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