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A point process for event arrivals in high frequency trading is presented. The intensity is the product of a Hawkes process and high dimensional functions of covariates derived from the order book. Conditions for stationarity of the process…

交易与市场微观结构 · 定量金融 2026-05-12 Luca Mucciante , Alessio Sancetta

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

统计金融 · 定量金融 2008-12-02 Szabolcs Mike , J. Doyne Farmer

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…

交易与市场微观结构 · 定量金融 2017-11-22 Martin Theissen , Sebastian M. Krause , Thomas Guhr

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…

交易与市场微观结构 · 定量金融 2014-09-05 Weibing Huang , Charles-Albert Lehalle , Mathieu Rosenbaum

In vivo and in vitro systems of cells and extra-cellular matrix (ECM) systems are well known to form ordered patterns of orientationally aligned fibers. Here, we interpret them as active analogs of the (disordered) isotropic to the…

软凝聚态物质 · 物理学 2025-04-11 Haiqian Yang , Ming Guo , L. Mahadevan

We propose a unified mean-field framework that bridges the dynamics of informal financial markets and formal markets governed by Limit Order Books (LOBs). Both settings are modeled as interacting particle systems on a 1D price lattice, with…

统计力学 · 物理学 2025-12-05 Alvaro Navarro-Rubio , Alejandro Lage-Castellanos

We propose a method for detection and prediction of native and synthetic iceberg orders on Chicago Mercantile Exchange. Native (managed by the exchange) icebergs are detected using discrepancies between the resting volume of an order and…

交易与市场微观结构 · 定量金融 2019-09-23 Dmitry Zotikov , Anton Antonov

The recent surge in Deep Learning (DL) research of the past decade has successfully provided solutions to many difficult problems. The field of quantitative analysis has been slowly adapting the new methods to its problems, but due to…

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

综合物理 · 物理学 2007-05-23 V. Granik , A. Granik

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…

交易与市场微观结构 · 定量金融 2022-05-17 Emilio Said , Ahmed Bel Hadj Ayed , Alexandre Husson , Frédéric Abergel

We develop an empirical behavioural order-driven (EBOD) model, which consists of an order placement process and an order cancellation process. Price limit rules are introduced in the definition of relative price. The order placement process…

计算金融 · 定量金融 2022-08-23 Gao-Feng Gu , Xiong Xiong , Hai-Chuan Xu , Wei Zhang , Yong-Jie Zhang , Wei Chen , Wei-Xing Zhou

We study a system of $N$ interacting particles on $\bf{Z}$. The stochastic dynamics consists of two components: a free motion of each particle (independent random walks) and a pair-wise interaction between particles. The interaction belongs…

概率论 · 数学 2011-10-25 A. Manita , V. Shcherbakov

Classic market design theory is rooted in static models where all participants trade simultaneously. In contrast, modern platform-mediated digital markets are fundamentally dynamic, defined by the asynchronous and stochastic arrival of…

理论经济学 · 经济学 2026-01-05 Yeon-Koo Che

This paper focuses on the operation of an electricity market that accounts for participants that bid at a sub-minute timescale. To that end, we model the market-clearing process as a dynamical system, called market dynamics, which is…

最优化与控制 · 数学 2021-12-14 Pengcheng You , Yan Jiang , Enoch Yeung , Dennice F. Gayme , Enrique Mallada

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…

交易与市场微观结构 · 定量金融 2015-10-14 Xin Guo , Zhao Ruan , Lingjiong Zhu

We propose a model for the dynamics of a limit order book in a liquid market where buy and sell orders are submitted at high frequency. We derive a functional central limit theorem for the joint dynamics of the bid and ask queues and show…

交易与市场微观结构 · 定量金融 2012-03-01 Rama Cont , Adrien De Larrard

Motivated by the desire to bridge the gap between the microscopic description of price formation (agent-based modeling) and the stochastic differential equations approach used classically to describe price evolution at macroscopic time…

交易与市场微观结构 · 定量金融 2015-03-17 Frederic Abergel , Aymen Jedidi

We present a general framework for modelling the dynamics of limit order books, built on the combination of two modelling ingredients: the order flow, modelled as a general spatial point process, and market clearing, modelled via a…

数理金融 · 定量金融 2023-02-03 Rama Cont , Pierre Degond , Lifan Xuan

R. Cont and A. de Larrard (SIAM J. Finan. Math, 2013) introduced a tractable stochastic model for the dynamics of a limit order book, computing various quantities of interest such as the probability of a price increase or the diffusion…

数理金融 · 定量金融 2016-01-11 Anatoliy Swishchuk , Nelson Vadori

We revisit the classic Cournot model and extend it to a two-echelon supply chain with an upstream supplier who operates under demand uncertainty and multiple downstream retailers who compete over quantity. The supplier's belief about retail…

计算机科学与博弈论 · 计算机科学 2021-07-19 Constandina Koki , Stefanos Leonardos , Costis Melolidakis