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We model the trading activity between a broker and her clients (informed and uninformed traders) as an infinite-horizon stochastic control problem. We derive the broker's optimal dealing strategy in closed form and use this to introduce an…

Trading and Market Microstructure · Quantitative Finance 2025-03-25 Álvaro Cartea , Leandro Sánchez-Betancourt

Nearly one-half of all trades in financial markets are executed by high-speed, autonomous computer programs -- a type of trading often called high-frequency trading (HFT). Although evidence suggests that HFT increases the efficiency of…

Trading and Market Microstructure · Quantitative Finance 2013-11-19 Benjamin Myers , Austin Gerig

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

Algorithmic trading refers to executing buy and sell orders for specific assets based on automatically identified trading opportunities. Strategies based on reinforcement learning (RL) have demonstrated remarkable capabilities in addressing…

Trading and Market Microstructure · Quantitative Finance 2024-07-03 Xi Cheng , Jinghao Zhang , Yunan Zeng , Wenfang Xue

We build a profitable electronic trading agent with Reinforcement Learning that places buy and sell orders in the stock market. An environment model is built only with historical observational data, and the RL agent learns the trading…

Artificial Intelligence · Computer Science 2019-10-10 Haoran Wei , Yuanbo Wang , Lidia Mangu , Keith Decker

Reinforcement Learning has emerged as a promising framework for developing adaptive and data-driven strategies, enabling market makers to optimize decision-making policies based on interactions with the limit order book environment. This…

Trading and Market Microstructure · Quantitative Finance 2026-02-17 Rafael Zimmer , Oswaldo Luiz do Valle Costa

A micro-scale model is proposed for the evolution of the limit order book. Within this model, the flows of orders (claims) are described by doubly stochastic Poisson processes taking account of the stochastic character of intensities of bid…

Probability · Mathematics 2014-12-09 V. Yu. Korolev , A. V. Chertok , A. Yu. Korchagin , A. I. Zeifman

Order positions are key variables in algorithmic trading. This paper studies the limiting behavior of order positions and related queues in a limit order book. In addition to the fluid and diffusion limits for the processes, fluctuations of…

Trading and Market Microstructure · Quantitative Finance 2015-10-14 Xin Guo , Zhao Ruan , Lingjiong Zhu

This article explores the optimisation of trading strategies in Constant Function Market Makers (CFMMs) and centralised exchanges. We develop a model that accounts for the interaction between these two markets, estimating the conditional…

Trading and Market Microstructure · Quantitative Finance 2026-05-06 Sebastian Jaimungal , Yuri F. Saporito , Max O. Souza , Yuri Thamsten

The topics treated in this thesis are inherently two-fold. The first part considers the problem of a market maker optimally setting bid/ask quotes over a finite time horizon, to maximize her expected utility. The intensities of the orders…

Optimization and Control · Mathematics 2020-09-15 Diego Zabaljauregui

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

Trading and Market Microstructure · Quantitative Finance 2015-01-13 Qinghua Li

In this research, we have empirically investigated the key drivers affecting liquidity in equity markets. We illustrated how theoretical models, such as Kyle's model, of agents' interplay in the financial markets, are aligned with the…

Computational Finance · Quantitative Finance 2020-04-28 Anastasia Bugaenko

Order execution is a fundamental task in quantitative finance, aiming at finishing acquisition or liquidation for a number of trading orders of the specific assets. Recent advance in model-free reinforcement learning (RL) provides a…

Artificial Intelligence · Computer Science 2023-07-07 Yuchen Fang , Zhenggang Tang , Kan Ren , Weiqing Liu , Li Zhao , Jiang Bian , Dongsheng Li , Weinan Zhang , Yong Yu , Tie-Yan Liu

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

We propose a general non-linear order book model that is built from the individual behaviours of the agents. Our framework encompasses Markovian and Hawkes based models. Under mild assumptions, we prove original results on the ergodicity…

Statistical Finance · Quantitative Finance 2019-06-14 Othmane Mounjid , Mathieu Rosenbaum , Pamela Saliba

We consider a continuous-time model for inventory management with Markov modulated non-stationary demands. We introduce active learning by assuming that the state of the world is unobserved and must be inferred by the manager. We also…

Optimization and Control · Mathematics 2012-06-28 Erhan Bayraktar , Mike Ludkovski

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

We investigate the behavior of limit order books on the meso-scale motivated by order execution scheduling algorithms. To do so we carry out empirical analysis of the order flows from market and limit order submissions, aggregated from…

Trading and Market Microstructure · Quantitative Finance 2017-08-10 Kyle Bechler , Michael Ludkovski

Standard models in economics stress the role of intelligent agents who maximize utility. However, there may be situations where, for some purposes, constraints imposed by market institutions dominate intelligent agent behavior. We use data…

Statistical Mechanics · Physics 2008-12-02 J. Doyne Farmer , Paolo Patelli , Ilija I. Zovko

We propose a static equilibrium model for limit order book where profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory, who…

Trading and Market Microstructure · Quantitative Finance 2020-03-11 Umut Çetin , Henri Waelbroeck
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