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Point processes are widely used statistical models for continuous-time discrete event data, such as medical records, crime reports, and social network interactions, to capture the influence of historical events on future occurrences. In…

Machine Learning · Statistics 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

A point process model for order flows in limit order books is proposed, in which the conditional intensity is the product of a Hawkes component and a state-dependent factor. In the LOB context, state observations may include the observed…

Trading and Market Microstructure · Quantitative Finance 2021-12-06 Emmanouil Sfendourakis , Ioane Muni Toke

It is notoriously difficult to predict the behaviour of a complex self-organizing system, where the interactions among dynamical units form a heterogeneous topology. Even if the dynamics of each microscopic unit is known, a real…

Information Theory · Computer Science 2013-10-01 Rick Quax , Andrea Apolloni , Peter M. A. Sloot

This study proposes a versatile model for the dynamics of the best bid and ask prices using an extended Hawkes process. The model incorporates the zero intensities of the spread-narrowing processes at the minimum bid-ask spread,…

Trading and Market Microstructure · Quantitative Finance 2022-01-26 Kyungsub Lee , Byoung Ki Seo

The Hawkes process has garnered attention in recent years for its suitability to describe the behavior of online information cascades. Here, we present a fully tractable approach to analytically describe the distribution of the number of…

Physics and Society · Physics 2020-07-22 Joseph D. O'Brien , Alberto Aleta , Yamir Moreno , James P. Gleeson

In nature and human societies, the effects of homogeneous and heterogeneous characteristics on the evolution of collective behaviors are quite different from each other. It is of great importance to understand the underlying mechanisms of…

General Finance · Quantitative Finance 2020-10-20 Wen-Juan Xu , Chen-Yang Zhong , Fei Ren , Tian Qiu , Rong-Da Chen , Yun-Xin He , Li-Xin Zhong

We present a novel agent-based approach to simulating an over-the-counter (OTC) financial market in which trades are intermediated solely by market makers and agent visibility is constrained to a network topology. Dynamics, such as changes…

Econometrics · Economics 2024-05-07 James T. Wilkinson , Jacob Kelter , John Chen , Uri Wilensky

Financial markets provide an ideal frame for studying decision making in crowded environments. Both the amount and accuracy of the data allows to apply tools and concepts coming from physics that studies collective and emergent phenomena or…

Statistical Finance · Quantitative Finance 2013-02-14 Mario Gutiérrez-Roig , Josep Perelló

The cryptocurrency market is volatile, non-stationary and non-continuous. Together with liquid derivatives markets, this poses a unique opportunity to study risk management, especially the hedging of options, in a turbulent market. We study…

Pricing of Securities · Quantitative Finance 2022-12-05 Jovanka Lili Matic , Natalie Packham , Wolfgang Karl Härdle

Recent years have seen an unprecedented rise of the role that technology plays in all aspects of human activities. Unavoidably, technology has heavily entered the Capital Markets trading space, to the extent that all major exchanges are now…

Statistical Finance · Quantitative Finance 2015-05-05 Lucio Maria Calcagnile , Giacomo Bormetti , Michele Treccani , Stefano Marmi , Fabrizio Lillo

The main aim of this work is to incorporate selected findings from behavioural finance into a Heterogeneous Agent Model using the Brock and Hommes (1998) framework. Behavioural patterns are injected into an asset pricing framework through…

General Finance · Quantitative Finance 2015-06-05 Jiri Kukacka , Jozef Barunik

In this paper we study the price dynamics in a simple model of financial markets with heterogeneous agents. We concentrate on how increases in the total number of active traders influences fluctuations of asset prices. We find that a…

Chaotic Dynamics · Physics 2015-06-26 Taisei Kaizoji

We provide some theoretical extensions and a calibration protocol for our former dynamic optimal execution model. The Hawkes parameters and the propagator are estimated independently on financial data from stocks of the CAC40.…

Trading and Market Microstructure · Quantitative Finance 2015-06-30 Aurélien Alfonsi , Pierre Blanc

Crowdfunding is a powerful tool for individuals or organizations seeking financial support from a vast audience. Despite widespread adoption, managers often lack information about dynamics of their platforms. Hawkes processes have been used…

Applications · Statistics 2024-02-26 Alexandra Djorno , Forrest W. Crawford

On many dimensions, services can be seen to exist along spectra measuring the degree of interaction between customer and agent. For instance, every interaction features some number of contributions by each of those two sides, creating a…

Computer Science and Game Theory · Computer Science 2025-08-25 Andrew Daw , Galit B. Yom-Tov

We introduce a multivariate Hawkes process with constraints on its conditional density. It is a multivariate point process with conditional intensity similar to that of a multivariate Hawkes process but certain events are forbidden with…

Applications · Statistics 2014-02-14 Ban Zheng , François Roueff , Frédéric Abergel

The order flow in high-frequency financial markets has been of particular research interest in recent years, as it provides insights into trading and order execution strategies and leads to better understanding of the supply-demand…

Methodology · Statistics 2025-02-26 Alex Ziyu Jiang , Abel Rodriguez

In order to disentangle the internal dynamics from exogenous factors within the Autoregressive Conditional Duration (ACD) model, we present an effective measure of endogeneity. Inspired from the Hawkes model, this measure is defined as the…

Statistical Finance · Quantitative Finance 2014-06-20 Vladimir Filimonov , Spencer Wheatley , Didier Sornette

We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

Computer Science and Game Theory · Computer Science 2014-10-13 Rafael M. Frongillo , Mark D. Reid

We show that typical behaviors of market participants at the high frequency scale generate leverage effect and rough volatility. To do so, we build a simple microscopic model for the price of an asset based on Hawkes processes. We encode in…

Trading and Market Microstructure · Quantitative Finance 2016-09-19 El Euch Omar , Fukasawa Masaaki , Rosenbaum Mathieu