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This paper is devoted to the important yet little explored subject of the market impact of limit orders. Our analysis is based on a proprietary database of metaorders - large orders that are split into smaller pieces before being sent to…

Trading and Market Microstructure · Quantitative Finance 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Alexandre Husson , Frédéric Abergel

We study optimal liquidation strategies under partial information for a single asset within a finite time horizon. We propose a model tailored for high-frequency trading, capturing price formation driven solely by order flow through…

Mathematical Finance · Quantitative Finance 2024-11-08 Etienne Chevalier , Yadh Hafsi , Vathana Ly Vath

This paper deals with a stochastic order-driven market model with waiting costs, for order books with heterogenous traders. Offer and demand of liquidity drives price formation and traders anticipate future evolutions of the order book. The…

Trading and Market Microstructure · Quantitative Finance 2015-08-11 Aimé Lachapelle , Jean-Michel Lasry , Charles-Albert Lehalle , Pierre-Louis Lions

An empirical analysis, suggested by optimal Merton dynamics, reveals some unexpected features of asset volumes. These features are connected to traders' belief and risk aversion. This paper proposes a trading strategy model in the optimal…

Trading and Market Microstructure · Quantitative Finance 2026-05-27 Francesca Mariani , Maria Cristina Recchioni , Tai-Ho Wang , Roberto Giacalone

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

Forecasting the movements of stock prices is one the most challenging problems in financial markets analysis. In this paper, we use Machine Learning (ML) algorithms for the prediction of future price movements using limit order book data.…

Computational Engineering, Finance, and Science · Computer Science 2019-04-09 Paraskevi Nousi , Avraam Tsantekidis , Nikolaos Passalis , Adamantios Ntakaris , Juho Kanniainen , Anastasios Tefas , Moncef Gabbouj , Alexandros Iosifidis

Considering that a trader or a trading algorithm interacting with markets during continuous auctions can be modeled by an iterating procedure adjusting the price at which he posts orders at a given rhythm, this paper proposes a procedure…

Trading and Market Microstructure · Quantitative Finance 2012-09-12 Sophie Laruelle , Charles-Albert Lehalle , Gilles Pagès

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

Financial exchanges provide incentives for limit order book (LOB) liquidity provision to certain market participants, termed designated market makers or designated sponsors. While quoting requirements typically enforce the activity of these…

Statistical Finance · Quantitative Finance 2015-08-19 Efstathios Panayi , Gareth W. Peters , Jon Danielsson , Jean-Pierre Zigrand

Constant price impact functions, much used in financial literature, are shown to give rise to paradoxical outcomes since they do not allow for proper predictability removal: for instance the exploitation of a single large trade whose size…

Physics and Society · Physics 2010-01-27 Damien Challet

This paper studies learning in markets with aggregate uncertainty about whether trade is efficient. A long-lived seller offers prices to buyers, who are short-lived and arrive according to a Poisson process. A hidden state determines…

Theoretical Economics · Economics 2026-01-14 Justus Preusser

We address the problem of improving bidders' strategies in prior-dependent revenue-maximizing auctions and introduce a simple and generic method to design novel bidding strategies if the seller uses past bids to optimize her mechanism. We…

Computer Science and Game Theory · Computer Science 2021-09-15 Thomas Nedelec , Marc Abeille , Clément Calauzènes , Benjamin Heymann , Vianney Perchet , Noureddine El Karoui

We consider optimal execution strategies for block market orders placed in a limit order book (LOB). We build on the resilience model proposed by Obizhaeva and Wang (2005) but allow for a general shape of the LOB defined via a given density…

Trading and Market Microstructure · Quantitative Finance 2010-02-03 Aurélien Alfonsi , Antje Fruth , Alexander Schied

This paper introduces a discrete limit order book model where new orders are placed with a fixed displacement from the mid-price. Further, the trade event occurs whenever the mid-price hits the price level on which there is some volume.…

Probability · Mathematics 2020-07-16 Friedrich Hubalek , Dragana Radojicic

Multi-agent market simulators usually require careful calibration to emulate real markets, which includes the number and the type of agents. Poorly calibrated simulators can lead to misleading conclusions, potentially causing severe loss…

Trading and Market Microstructure · Quantitative Finance 2022-10-19 Andrea Coletta , Aymeric Moulin , Svitlana Vyetrenko , Tucker Balch

Through the analysis of a dataset of ultra high frequency order book updates, we introduce a model which accommodates the empirical properties of the full order book together with the stylized facts of lower frequency financial data. To do…

Trading and Market Microstructure · Quantitative Finance 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

We propose a simple stochastic model for the dynamics of a limit order book, extending the recent work of Cont and de Larrard (2013), where the price dynamics are endogenous, resulting from market transactions. We also show that the…

Trading and Market Microstructure · Quantitative Finance 2017-04-24 Jonathan A. Chávez-Casillas , Robert J. Elliott , Bruno Rémillard , Anatoliy V. Swishchuk

This paper focuses on some simple models of limit order book dynamics which simulate market trading mechanisms. We start with a discrete time/space Markov process and then perform a re-scaling procedure leading to a deterministic dynamical…

Probability · Mathematics 2011-02-08 N Vvedenskaya , Y Suhov , V Belitsky

We study a simple model of an asset market with informed and non-informed agents. In the absence of non-informed agents, the market becomes information efficient when the number of traders with different private information is large enough.…

Trading and Market Microstructure · Quantitative Finance 2010-04-29 Fabio Caccioli , Matteo Marsili

Bilateral trade models the task of intermediating between two strategic agents, a seller and a buyer, willing to trade a good for which they hold private valuations. We study this problem from the perspective of a broker, in a regret…

Computer Science and Game Theory · Computer Science 2025-09-29 Simone Di Gregorio , Paul Dütting , Federico Fusco , Chris Schwiegelshohn