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Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · Physics 2015-06-30 J. Doyne Farmer

This paper proposes a parametric approach for stochastic modeling of limit order markets. The models are obtained by augmenting classical perfectly liquid market models by few additional risk factors that describe liquidity properties of…

Trading and Market Microstructure · Quantitative Finance 2010-06-24 Pekka Malo , Teemu Pennanen

An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates…

Artificial Intelligence · Computer Science 2016-12-30 Easton Li Xu , Xiaoning Qian , Tie Liu , Shuguang Cui

The market practice of extrapolating different term structures from different instruments lacks a rigorous justification in terms of cash flows structure and market observables. In this paper, we integrate our previous consistent theory for…

Pricing of Securities · Quantitative Finance 2013-04-05 Andrea Pallavicini , Damiano Brigo

Order book imbalance (OBI) - buy orders minus sell orders near the best quote - measures supply-demand imbalance that can move prices. OBI is positively correlated with returns, and some investors try to use it to improve performance. Large…

Computational Finance · Quantitative Finance 2025-09-23 Shuto Endo , Takanobu Mizuta , Isao Yagi

This paper develops a model for option market making in which the hedging activity of the market maker generates price impact on the underlying asset. The option order flow is modeled by Cox processes, with intensities depending on the…

Trading and Market Microstructure · Quantitative Finance 2026-04-30 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath

The studies of collective oscillations induced by higher-order interactions point out the necessity of group effect in coupling modelization. As yet the related advances are mainly concentrated on nonlinear coupling patterns and cannot be…

Adaptation and Self-Organizing Systems · Physics 2022-03-31 Cong Liu , Chong-Yang Wang , Zhi-Xi Wu , Jian-Yue Guan

We propose a new set of stylized facts quantifying the structure of financial markets. The key idea is to study the combined structure of both investment strategies and prices in order to open a qualitatively new level of understanding of…

Statistical Finance · Quantitative Finance 2015-03-19 Wei-Xing Zhou , Guo-Hua Mu , Wei Chen , Didier Sornette

We examine the dynamics of informational efficiency in a market with asymmetrically informed, boundedly rational traders who adaptively learn optimal strategies using simple multiarmed bandit (MAB) algorithms. The strategies available to…

Theoretical Economics · Economics 2024-11-11 Aleksei Pastushkov

We examine optimal execution models that take into account both market microstructure impact and informational costs. Informational footprint is related to order flow and is represented by the trader's influence on the flow imbalance…

Trading and Market Microstructure · Quantitative Finance 2014-10-21 Kyle Bechler , Mike Ludkovski

Multi-body interactions can reveal higher-order dynamical effects that are not captured by traditional two-body network models. In this work, we derive and analyse models for consensus dynamics on hypergraphs, where nodes interact in groups…

Physics and Society · Physics 2020-04-08 Leonie Neuhäuser , Andrew Mellor , Renaud Lambiotte

--- the companies populating a Stock market, along with their connections, can be effectively modeled through a directed network, where the nodes represent the companies, and the links indicate the ownership. This paper deals with this…

Statistical Finance · Quantitative Finance 2018-07-26 Roy Cerqueti , Giulia Rotundo , Marcel Ausloos

We study the time dependent cross correlations of stock returns, i.e. we measure the correlation as the function of the time shift between pairs of stock return time series using tick-by-tick data. We find a weak but significant effect…

Statistical Mechanics · Physics 2009-11-07 L. Kullmann , J. Kertesz , K. Kaski

This study examines the impact of different computing implementations of clearing mechanisms on multi-asset price dynamics within an artificial stock market framework. We show that sequential processing of order books introduces a…

Trading and Market Microstructure · Quantitative Finance 2025-09-03 Matej Steinbacher , Mitja Steinbacher , Matjaz Steinbacher

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

The relationship between the dynamics of a community and its constituent pairwise interactions is a fundamental problem in ecology. Higher-order ecological effects beyond pairwise interactions may be key to complex ecosystems, but…

Populations and Evolution · Quantitative Biology 2018-09-05 Michael Manhart , Eugene I. Shakhnovich

Market impact is a key concept in the study of financial markets and several models have been proposed in the literature so far. The Transient Impact Model (TIM) posits that the price at high frequency time scales is a linear combination of…

Trading and Market Microstructure · Quantitative Finance 2016-02-09 Damian Eduardo Taranto , Giacomo Bormetti , Jean-Philippe Bouchaud , Fabrizio Lillo , Bence Toth

We study the problem of the execution of a moderate size order in an illiquid market within the framework of a solvable Markovian model. We suppose that in order to avoid impact costs, a trader decides to execute her order through a unique…

Trading and Market Microstructure · Quantitative Finance 2015-06-09 Iacopo Mastromatteo

Financial markets are a typical example of complex systems where interactions between constituents lead to many remarkable features. Here, we show that a pairwise maximum entropy model (or auto-logistic model) is able to describe switches…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relations among arbitrary numbers of units through representations…

Adaptation and Self-Organizing Systems · Physics 2023-03-24 Yuanzhao Zhang , Maxime Lucas , Federico Battiston