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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

We introduce a structural framework for the geometry of financial order books in which liquidity, supply, and demand are treated as emergent observables rather than primitive market variables. The market is modeled as a relational substrate…

Trading and Market Microstructure · Quantitative Finance 2026-01-28 João P. da Cruz

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

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

Dynamical Systems · Mathematics 2013-07-31 Wen-Long Jin

We propose a dynamical theory of market liquidity that predicts that the average supply/demand profile is V-shaped and {\it vanishes} around the current price. This result is generic, and only relies on mild assumptions about the order flow…

Trading and Market Microstructure · Quantitative Finance 2011-11-02 Bence Toth , Yves Lemperiere , Cyril Deremble , Joachim de Lataillade , Julien Kockelkoren , Jean-Philippe Bouchaud

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

While the market impact of aggressive orders has been extensively studied, the impact of passive orders, those executed through limit orders, remains less understood. The goal of this paper is to investigate passive market impact by…

Mathematical Finance · Quantitative Finance 2024-12-11 Youssef Ouazzani Chahdi , Mathieu Rosenbaum , Grégoire Szymanski

The success of deep learning-based limit order book forecasting models is highly dependent on the quality and the robustness of the input data representation. A significant body of the quantitative finance literature focuses on utilising…

Trading and Market Microstructure · Quantitative Finance 2022-12-08 Yufei Wu , Mahmoud Mahfouz , Daniele Magazzeni , Manuela Veloso

We identify and analyze statistical regularities and irregularities in the recent order flow of different NASDAQ stocks, focusing on the positions where orders are placed in the orderbook. This includes limit orders being placed outside of…

Trading and Market Microstructure · Quantitative Finance 2017-11-22 Martin Theissen , Sebastian M. Krause , Thomas Guhr

It has been suggested that marked point processes might be good candidates for the modelling of financial high-frequency data. A special class of point processes, Hawkes processes, has been the subject of various investigations in the…

Trading and Market Microstructure · Quantitative Finance 2019-08-23 Ioane Muni Toke

We conduct modeling of the price dynamics following order flow imbalance in market microstructure and apply the model to the analysis of Chinese CSI 300 Index Futures. There are three findings. The first is that the order flow imbalance is…

Mathematical Finance · Quantitative Finance 2025-05-26 Chen Hu , Kouxiao Zhang

Modeling limit order books (LOBs) dynamics is a fundamental problem in market microstructure research. In particular, generating high-dimensional volume snapshots with strong temporal and liquidity-dependent patterns remains a challenging…

Trading and Market Microstructure · Quantitative Finance 2025-08-13 Zhuohan Wang , Carmine Ventre

This paper studies the estimation of ranked-list discrete choice models with single and multiple purchases. In this setting, each consumer type is characterized by a ranking over a subset of products and a desired number of purchases, and…

Data Structures and Algorithms · Computer Science 2026-05-11 Luciano Costa , Gerardo Berbeglia , Claudio Contardo , Jean-François Cordeau

Procurement in maritime logistics faces challenges due to uncertainties in demand and fluctuating market conditions. To address these complexities, we introduce a flexible discrete-event simulation framework that models the request-to-order…

Applications · Statistics 2025-05-06 Georgios Vassos , Richard Lusby , Pierre Pinson

This report presents a novel approach to calculate volumes of trains from a set of requirements describing the transportation demands. The model presented is based on a multi commodity network flow model. The model comprises three different…

Optimization and Control · Mathematics 2021-12-20 Martin Aronsson , Tomas Lidén

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

Market information events are generated intermittently and disseminated at high speeds in real-time. Market participants consume this high-frequency data to build limit order books, representing the current bids and offers for a given…

Trading and Market Microstructure · Quantitative Finance 2024-08-08 Aditya Nittur Anantha , Shashi Jain

We consider a distribution logistics scenario where a shipping operator, managing a limited amount of resources, receives a stream of collection requests, issued by a set of customers along a booking time-horizon, that are referred to a…

Optimization and Control · Mathematics 2023-07-04 Giovanni Giallombardo , Francesca Guerriero , Giovanna Miglionico

Order flow in equity markets is remarkably persistent in the sense that order signs (to buy or sell) are positively autocorrelated out to time lags of tens of thousands of orders, corresponding to many days. Two possible explanations are…

Trading and Market Microstructure · Quantitative Finance 2014-12-02 Bence Toth , Imon Palit , Fabrizio Lillo , J. Doyne Farmer

We study a double-ended queue where buyers and sellers arrive to conduct trades. When there is a pair of buyer and seller in the system, they immediately transact a trade and leave. Thus there cannot be non-zero number of buyers and sellers…

Probability · Mathematics 2014-01-22 Xin Liu , Qi Gong , Vidyadhar G. Kulkarni