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A deterministic trading strategy can be regarded as a signal processing element that uses external information and past prices as inputs and incorporates them into future prices. This paper uses a market maker based method of price…

Statistical Mechanics · Physics 2008-12-02 J. Doyne Farmer , Shareen Joshi

In retrospect, the experimental findings on competitive market behavior called for a revival of the old, classical, view of competition as a collective higgling and bargaining process (as opposed to price-taking behaviors) founded on…

General Finance · Quantitative Finance 2023-07-04 Sabiou Inoua , Vernon Smith

A popular method for selecting the number of clusters is based on stability arguments: one chooses the number of clusters such that the corresponding clustering results are "most stable". In recent years, a series of papers has analyzed the…

Machine Learning · Statistics 2010-07-08 Ulrike von Luxburg

Previous studies of the stock price response to trades focused on the dynamics of single stocks, i.e. they addressed the self-response. We empirically investigate the price response of one stock to the trades of other stocks in a correlated…

Statistical Finance · Quantitative Finance 2016-04-26 Shanshan Wang , Rudi Schäfer , Thomas Guhr

Based on the tick-by-tick stock prices from the German and American stock markets, we study the statistical properties of the distribution of the individual stocks and the index returns in highly collective and noisy intervals of trading,…

Soft Condensed Matter · Physics 2015-06-24 J. Kwapien , S. Drozdz , J. Speth

An analysis of the stylized facts in financial time series is carried out. We find that, instead of the heavy tails in asset return distributions, the slow decay behaviour in autocorrelation functions of absolute returns is actually…

Statistical Finance · Quantitative Finance 2015-03-13 Jie-Jun Tseng , Sai-Ping Li

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

The dynamics of prices in financial markets has been studied intensively both experimentally (data analysis) and theoretically (models). Nevertheless, a complete stochastic characterization of volatility is still lacking. What it is well…

Statistical Mechanics · Physics 2009-10-31 Michele Pasquini , Maurizio Serva

Multivariate Distributions are needed to capture the correlation structure of complex systems. In previous works, we developed a Random Matrix Model for such correlated multivariate joint probability density functions that accounts for the…

Statistical Finance · Quantitative Finance 2025-12-02 Anton J. Heckens , Efstratios Manolakis , Cedric Schuhmann , Thomas Guhr

We review some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory and…

Physics and Society · Physics 2021-08-25 C. Coronnello , M. Tumminello , F. Lillo , S. Micciche` , R. N. Mantegna

This paper investigates the effect of cross-shareholding on stock price synchronicity, as a measure of price informativeness, of the listed firms in the Chinese stock market. We gauge firms' levels of cross-shareholdings in terms of…

Statistical Finance · Quantitative Finance 2022-08-23 Fenghua Wen , Yujie Yuan , Wei-Xing Zhou

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

Condensed Matter · Physics 2015-06-25 P. Bak , M. Paczuski , M. Shubik

Margin trading in which investors purchase shares with money borrowed from brokers is blamed to be a major cause of the 2015 Chinese stock market crash. We propose a cascading failure model and examine how an increase in margin trading…

General Finance · Quantitative Finance 2018-04-23 Ya-Chun Gao , Huai-Lin Tang , Shi-Min Cai , Jing-Jing Gao , H. Eugene Stanley

We study historical dynamics of joint equilibrium distribution of stock returns in the U.S. stock market using the Boltzmann distribution model being parametrized by external fields and pairwise couplings. Within Boltzmann learning…

Statistical Finance · Quantitative Finance 2015-12-11 Stanislav S. Borysov , Yasser Roudi , Alexander V. Balatsky

Clustering is a central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

Machine Learning · Statistics 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

The value of stocks, indices and other assets, are examples of stochastic processes with unpredictable dynamics. In this paper, we discuss asymmetries in short term price movements that can not be associated with a long term positive trend.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ingve Simonsen , Peter Toke Heden Ahlgren , Mogens H. Jensen , Raul Donangelo , Kim Sneppen

We develop a theoretical trading conditioning model subject to price volatility and return information in terms of market psychological behavior, based on analytical transaction volume-price probability wave distributions in which we use…

Trading and Market Microstructure · Quantitative Finance 2010-02-09 Leilei Shi , Yiwen Wang , Ding Chen , Liyan Han , Yan Piao , Chengling Gou

Financial organisations such as brokers face a significant challenge in servicing the investment needs of thousands of their traders worldwide. This task is further compounded since individual traders will have their own risk appetite and…

Statistical Finance · Quantitative Finance 2024-07-01 Wojciech Wisniewski , Yuri Kalnishkan , David Lindsay , Siân Lindsay

We present a simple model of a stock market where a random communication structure between agents gives rise to a heavy tails in the distribution of stock price variations in the form of an exponentially truncated power-law, similar to…

Statistical Mechanics · Physics 2014-01-14 Rama Cont , Jean-Philippe Bouchaud

Although the understanding of and motivation behind individual trading behavior is an important puzzle in finance, little is known about the connection between an investor's portfolio structure and her trading behavior in practice. In this…

General Finance · Quantitative Finance 2014-08-29 Ludvig Bohlin , Martin Rosvall