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Financial markets populated by human traders often exhibit "market impact", where the traders' quote-prices move in the direction of anticipated change, before any transaction has taken place, as an immediate reaction to the arrival of a…

Trading and Market Microstructure · Quantitative Finance 2020-12-24 Zhen Zhang , Dave Cliff

We study optimal trade execution strategies in financial markets with discrete order flow. The agent has a finite liquidation horizon and must minimize price impact given a random number of incoming trade counterparties. Assuming that the…

Trading and Market Microstructure · Quantitative Finance 2012-05-07 Erhan Bayraktar , Mike Ludkovski

Finding the optimal policy for multi-period perishable inventory systems requires solving computationally-expensive stochastic dynamic programs (DP). To avoid the difficulty of solving DP models, we propose a framework that uses an…

Optimization and Control · Mathematics 2021-07-28 Katsunobu Sasanuma , Mohammad Delasay , Christine Pitocco , Alan Scheller-Wolf , Thomas Sexton

The recent advancements in Deep Learning (DL) research have notably influenced the finance sector. We examine the robustness and generalizability of fifteen state-of-the-art DL models focusing on Stock Price Trend Prediction (SPTP) based on…

Trading and Market Microstructure · Quantitative Finance 2023-09-21 Matteo Prata , Giuseppe Masi , Leonardo Berti , Viviana Arrigoni , Andrea Coletta , Irene Cannistraci , Svitlana Vyetrenko , Paola Velardi , Novella Bartolini

Statistical and dynamical characters of stock markets have been extensively studied, which now is providing the firm basis for econophysics and its application as ``stylized facts''. However, most of those studies are for markets under the…

Physics and Society · Physics 2024-09-04 Shota Nagumo , Takashi Shimada

We consider a risk-sensitive optimization of consumption-utility on infinite time horizon where the one-period investment gain depends on an underlying economic state whose evolution over time is assumed to be described by a discrete-time,…

Optimization and Control · Mathematics 2021-11-19 Anindya Goswami , Nimit Rana , Tak Kuen Siu

We study the optimal pricing strategy of a monopolist selling homogeneous goods to customers over multiple periods. The customers choose their time of purchase to maximize their payoff that depends on their valuation of the product, the…

Computer Science and Game Theory · Computer Science 2018-06-28 Ali Makhdoumi , Azarakhsh Malekian , Asuman Ozdaglar

In this paper we develop a model of an order-driven market where traders set bids and asks and post market or limit orders according to exogenously fixed rules. Agents are assumed to have three components to the expectation of future asset…

Trading and Market Microstructure · Quantitative Finance 2009-02-16 Carl Chiarella , Giulia Iori , Josep Perello

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

We define a stochastic model of a two-sided limit order book in terms of its key quantities \textit{best bid [ask] price} and the \textit{standing buy [sell] volume density}. For a simple scaling of the discreteness parameters, that keeps…

Mathematical Finance · Quantitative Finance 2015-01-06 Ulrich Horst , Michael Paulsen

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

A/B testing is critical for modern technological companies to evaluate the effectiveness of newly developed products against standard baselines. This paper studies optimal designs that aim to maximize the amount of information obtained from…

Methodology · Statistics 2023-11-07 Ting Li , Chengchun Shi , Jianing Wang , Fan Zhou , Hongtu Zhu

This paper investigates a class of optimal control problems associated with Markov processes with local state information. The decision-maker has only local access to a subset of a state vector information as often encountered in…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Guanze Peng , Veeraruna Kavitha , Qunayan Zhu

Quantitative understanding of stochastic dynamics in limit order price changes is essential for execution strategy design. We analyze intraday transition dynamics of ask and bid orders across market capitalization tiers using high-frequency…

Statistical Finance · Quantitative Finance 2026-01-09 Salam Rabindrajit Luwang , Kundan Mukhia , Buddha Nath Sharma , Md. Nurujjaman , Anish Rai , Filippo Petroni

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

Most of the existing literature on optimal trade execution in limit order book models assumes that resilience is positive. But negative resilience also has a natural interpretation, as it models self-exciting behaviour of the price impact,…

Trading and Market Microstructure · Quantitative Finance 2022-07-25 Julia Ackermann , Thomas Kruse , Mikhail Urusov

We extend a Discrete Time Random Walk (DTRW) numerical scheme to simulate the anomalous diffusion of financial market orders in a simulated order book. Here using random walks with Sibuya waiting times to include a time-dependent stochastic…

Computational Finance · Quantitative Finance 2024-08-14 Derick Diana , Tim Gebbie

We introduce a practical, interactive simulator of the limit order book for large-tick assets, designed to produce realistic execution, costs, and P&L. The book state is projected onto a tractable representation based on spread and volume…

Trading and Market Microstructure · Quantitative Finance 2026-03-26 Patrick Noble , Mathieu Rosenbaum , Saad Souilmi

Many commonly used liquidity measures are based on snapshots of the state of the limit order book (LOB) and can thus only provide information about instantaneous liquidity, and not regarding the local liquidity regime. However, trading in…

Statistical Finance · Quantitative Finance 2014-06-23 Efstathios Panayi , Gareth Peters

We empirically study the market impact of trading orders. We are specifically interested in large trading orders that are executed incrementally, which we call hidden orders. These are reconstructed based on information about market member…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Esteban Moro , Javier Vicente , Luis G. Moyano , Austin Gerig , J. Doyne Farmer , Gabriella Vaglica , Fabrizio Lillo , Rosario N. Mantegna