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Modeling the impact of the order flow on asset prices is of primary importance to understand the behavior of financial markets. Part I of this paper reported the remarkable improvements in the description of the price dynamics which can be…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Damian Eduardo Taranto , Giacomo Bormetti , Jean-Philippe Bouchaud , Fabrizio Lillo , Bence Toth

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

I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect…

Statistical Finance · Quantitative Finance 2009-06-09 Matteo Marsili

We introduce a simple framework in which market participants update their prior about an efficient price with a model-based learning process. We show that exponential intensities for the arrival of aggressive orders arise naturally in this…

Trading and Market Microstructure · Quantitative Finance 2021-09-29 Joffrey Derchu

We present a measurement of price impact in order-driven markets that does not require averages across executions or scenarios. Given the order book data associated with one single execution of a sell metaorder, we measure its contribution…

Trading and Market Microstructure · Quantitative Finance 2022-01-24 Claudio Bellani , Damiano Brigo , Mikko Pakkanen , Leandro Sanchez-Betancourt

A dynamical model is introduced for the formation of a bullish or bearish trends driving an asset price in a given market. Initially, each agent decides to buy or sell according to its personal opinion, which results from the combination of…

Physics and Society · Physics 2011-06-09 Serge Galam

Commonly used limit order book attributes are empirically considered based on NASDAQ ITCH data. It is shown that some of them have the properties drastically different from the ones assumed in many market dynamics study. Because of this…

Trading and Market Microstructure · Quantitative Finance 2016-03-31 Vladislav Gennadievich Malyshkin , Ray Bakhramov

Analyzing simple and natural price-adjustment processes that converge to a market equilibrium is a fundamental question in economics. Such an analysis may have implications in economic theory, computational economics, and distributed…

Computer Science and Game Theory · Computer Science 2015-04-21 Noa Avigdor-Elgrabli , Yuval Rabani , Gala Yadgar

It is known that the impact of transactions on stock price (market impact) is a concave function of the size of the order, but there exists little quantitative theory that suggests why this is so. I develop a quantitative theory for the…

Statistical Finance · Quantitative Finance 2008-12-02 Austin Gerig

\noindent We address the issue of market making on electronic markets when taking into account the clustering and long memory properties of market order flows. We consider a market model with one market maker and order flows driven by…

Trading and Market Microstructure · Quantitative Finance 2020-10-27 Paul Jusselin

Whenever customers' choices (e.g. to buy or not a given good) depend on others choices (cases coined 'positive externalities' or 'bandwagon effect' in the economic literature), the demand may be multiply valued: for a same posted price,…

General Finance · Quantitative Finance 2015-03-20 Mirta B. Gordon , Jean-Pierre Nadal , Denis Phan , Viktoriya Semeshenko

Identical products being sold at different prices in different locations is a common phenomenon. Price differences might occur due to various reasons such as shipping costs, trade restrictions and price discrimination. To model such…

Computer Science and Game Theory · Computer Science 2010-08-02 Sourav Chakraborty , Nikhil Devanur , Chinmay Karande

We study the optimal execution of market and limit orders with permanent and temporary price impacts as well as uncertainty in the filling of limit orders. Our continuous-time model incorporates a trade speed limiter and a trader director…

Mathematical Finance · Quantitative Finance 2017-04-13 Brian Bulthuis , Julio Concha , Tim Leung , Brian Ward

We present a study of price impact in the over-the-counter credit index market, where no limit order book is used. Contracts are traded via dealers, that compete for the orders of clients. Despite this distinct microstructure, we…

Trading and Market Microstructure · Quantitative Finance 2016-09-16 Zoltan Eisler , Jean-Philippe Bouchaud

We consider the efficient outcome of a canonical economic market model involving buyers and sellers with independent and identically distributed random valuations and costs, respectively. When the number of buyers and sellers is large, we…

Probability · Mathematics 2017-03-02 Ellen V. Muir , Konstantin Borovkov

Estimating market impact and transaction costs of large trades (metaorders) is a very important topic in finance. However, using models of price and trade based on public market data provide average price trajectories which are…

Trading and Market Microstructure · Quantitative Finance 2025-12-04 Manuel Naviglio , Giacomo Bormetti , Francesco Campigli , German Rodikov , Fabrizio Lillo

Interference between treated and untreated units is a source of bias in marketplace experiments. In this paper, we specifically consider pricing interventions, in which a platform seeks to adjust base pricing levels at the marketplace level…

Optimization and Control · Mathematics 2025-02-27 Arthur Delarue , Kleanthis Karakolios

Following the recent literature on make take fees policies, we consider an exchange wishing to set a suitable contract with several market makers in order to improve trading quality on its platform. To do so, we use a principal-agent…

Trading and Market Microstructure · Quantitative Finance 2021-03-09 Bastien Baldacci , Dylan Possamaï , Mathieu Rosenbaum

We study liquidity provision in the presence of exogenous competition. We consider a `reference market maker' who monitors her inventory and the aggregated inventory of the competing market makers. We assume that the competing market makers…

Mathematical Finance · Quantitative Finance 2024-07-25 Robert Boyce , Martin Herdegen , Leandro Sánchez-Betancourt

We consider a pair of traders in a market where the information available to the second trader is a strict subset of the information available to the first trader. The traders make prices based on the information available concerning a…

Mathematical Finance · Quantitative Finance 2024-01-24 George Bouzianis , Lane P. Hughston , Leandro Sánchez-Betancourt