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We use a recent, high-quality data set from Nasdaq to perform an empirical analysis of order flow in a limit order book (LOB) before and after the arrival of a market order. For each of the stocks that we study, we identify a sequence of…

Trading and Market Microstructure · Quantitative Finance 2016-06-27 Julius Bonart , Martin Gould

We investigate triangular arbitrage within the spot foreign exchange market using high-frequency executable prices. We show that triangular arbitrage opportunities do exist, but that most have short durations and small magnitudes. We find…

Statistical Finance · Quantitative Finance 2011-09-06 Daniel J. Fenn , Sam D. Howison , Mark McDonald , Stacy Williams , Neil F. Johnson

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

We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader-follower…

Trading and Market Microstructure · Quantitative Finance 2025-03-31 Alif Aqsha , Philippe Bergault , Leandro Sánchez-Betancourt

Large language models (LLMs) are increasingly deployed in agentic frameworks, in which prompts trigger complex tool-based analysis in pursuit of a goal. While these frameworks have shown promise across multiple domains including in finance,…

Statistical Finance · Quantitative Finance 2025-07-14 Dimitrios Emmanoulopoulos , Ollie Olby , Justin Lyon , Namid R. Stillman

We consider an optimal trading problem over a finite period of time during which an investor has access to both a standard exchange and a dark pool. We take the exchange to be an order-driven market and propose a continuous-time setup for…

Mathematical Finance · Quantitative Finance 2016-01-13 M. Alessandra Crisafi , Andrea Macrina

We characterise the solutions to a continuous-time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads -- these are short-term deviations from the…

Trading and Market Microstructure · Quantitative Finance 2025-02-18 Emilio Barucci , Adrien Mathieu , Leandro Sánchez-Betancourt

Decentralized exchange platforms such as Uniswap and Balancer operate on several pools where each pool contains two or more cryptocurrencies and constitutes direct trading pairs. The drawbacks here are that liquidity providing requires…

Information Theory · Computer Science 2025-07-31 Wittawat Kositwattanarerk

Market makers play an essential role in financial markets. A successful market maker should control inventory and adverse selection risks and provide liquidity to the market. As an important methodology in control problems, Reinforcement…

Trading and Market Microstructure · Quantitative Finance 2022-07-04 Junshu Jiang , Thomas Dierckx , Duxiang Xiao , Wim Schoutens

In this paper, reinforcement learning is applied to the problem of optimizing market making. A multi-agent reinforcement learning framework is used to optimally place limit orders that lead to successful trades. The framework consists of…

Trading and Market Microstructure · Quantitative Finance 2018-12-27 Yagna Patel

We introduce a general framework for continuous-time betting markets, in which a bookmaker can dynamically control the prices of bets on outcomes of random events. In turn, the prices set by the bookmaker affect the rate or intensity of…

Mathematical Finance · Quantitative Finance 2021-03-09 Matthew Lorig , Zhou Zhou , Bin Zou

We consider the problem of designing a derivatives exchange aiming at addressing clients needs in terms of listed options and providing suitable liquidity. We proceed into two steps. First we use a quantization method to select the options…

Trading and Market Microstructure · Quantitative Finance 2019-09-23 Bastien Baldacci , Paul Jusselin , Mathieu Rosenbaum

We deal with the optimal execution problem when the broker's goal is to reach a performance barrier avoiding a downside barrier. The performance is provided by the wealth accumulated by trading in the market, the shares detained by the…

Mathematical Finance · Quantitative Finance 2026-04-27 Emilio Barucci , Yuheng Lan

Market makers play an important role in providing liquidity to markets by continuously quoting prices at which they are willing to buy and sell, and managing inventory risk. In this paper, we build a multi-agent simulation of a dealer…

Trading and Market Microstructure · Quantitative Finance 2019-11-15 Sumitra Ganesh , Nelson Vadori , Mengda Xu , Hua Zheng , Prashant Reddy , Manuela Veloso

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

When executing their orders, investors are proposed different strategies by brokers and investment banks. Most orders are executed using VWAP algorithms. Other basic execution strategies include POV (also called PVol) -- for percentage of…

Trading and Market Microstructure · Quantitative Finance 2013-12-04 Olivier Guéant

We consider a stochastic game between three types of players: an inside trader, noise traders and a market maker. In a similar fashion to Kyle's model, we assume that the insider first chooses the size of her market-order and then the…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Charles-Albert Lehalle , Eyal Neuman , Segev Shlomov

Market making is a popular trading strategy, which aims to generate profit from the spread between the quotes posted at either side of the market. It has been shown that training market makers (MMs) with adversarial reinforcement learning…

Trading and Market Microstructure · Quantitative Finance 2025-08-26 Ziyi Wang , Carmine Ventre , Maria Polukarov

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

Evolutions of the trading landscape lead to the capability to exchange the same financial instrument on different venues. Because of liquidity issues, the trading firms split large orders across several trading destinations to optimize…

Trading and Market Microstructure · Quantitative Finance 2010-07-28 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès
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