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Benford's law, or the law of the first significant digit, has been subjected to numerous studies due to its unique applications in financial fields, especially accounting and auditing. However, studies that addressed the law's establishment…

General Economics · Economics 2025-01-07 M. R. Sarkandiz

Power-law distributions are common, particularly in social physics. Here, we explore whether power-laws might arise as a consequence of a general variational principle for stochastic processes. We describe communities of 'social particles',…

Physics and Society · Physics 2011-12-30 G. J. Peterson , K. A. Dill

Publicly traded companies are fundamental units of contemporary economies and markets and are important mechanisms through which humans interact with their environments. Understanding the general properties that underlie the processes of…

Physics and Society · Physics 2022-07-07 Jiang Zhang , Christopher P. Kempes , Marcus J. Hamilton , Ruyi Tao , Geoffrey B. West

We develop a theory for the market impact of large trading orders, which we call metaorders because they are typically split into small pieces and executed incrementally. Market impact is empirically observed to be a concave function of…

Trading and Market Microstructure · Quantitative Finance 2013-09-30 J. Doyne Farmer , Austin Gerig , Fabrizio Lillo , Henri Waelbroeck

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

We study the finite-size effects in some scaling systems, and show that the finite number of agents N leads to a cut-off in the upper value of the Pareto law for the relative individual wealth. The exponent $\alpha$ of the Pareto law…

Statistical Mechanics · Physics 2009-11-07 Zhi-Feng Huang , Sorin Solomon

Research activities of Kyoto Econophysics Group is reviewed. Strong emphasis has been placed on real economy. While the initial stage of research was a first high-definition data analysis on personal income, it soon progressed to firm…

General Finance · Quantitative Finance 2010-07-05 Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Hiroshi Iyetomi , Wataru Souma

In this paper, we describe a newly discovered statistical property of time series data for daily price changes. We conducted quantitative investigation of the {\it calm-time intervals} of price changes for 800 companies listed in the Tokyo…

Statistical Mechanics · Physics 2013-09-11 Taisei Kaizoji , Michiyo Kaizoji

This paper develops a real-time forecasting framework for the monthly real prices of four key industrial metals -- aluminum, copper, nickel, and zinc -- whose demand is rising due to their widespread use in manufacturing and low-carbon…

Econometrics · Economics 2025-12-19 Andrea Bastianin , Luca Rossini , Lorenzo Tonni

We study the distributions of money in a simple closed economic system for different types of monetary transactions. We know that for arbitrary and random sharing but locally conserving money transactions, the money distribution goes to the…

Statistical Mechanics · Physics 2009-11-07 Anirban Chakraborti

Intensive or size-invariant physical properties are well known to become size-dependent when the bulk material is reduced to the nanometer scale. Using silver, the present study shows a remarkable emergent characteristic of extensive…

Mesoscale and Nanoscale Physics · Physics 2011-10-25 Jason N. Armstrong , Susan Z. Hua , Harsh Deep Chopra

Most papers which explored so far macroeconomic variables took into account income and wealth. Equally important as the previous macroeconomic variables is the expenditure or consumption, which shows the amount of goods and services that a…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

The first (Russian) edition of the book was among the first monographs on econophysics. The book gives an explanation of several intriguing phenomena, providing new insights and answers to some deeply vexing questions. Why the economic…

Physics and Society · Physics 2008-03-25 Victor Sergeev

The size of large cliff failures may be described in several ways, for instance considering the horizontal eroded area at the cliff top and the maximum local retreat of the coastline. Field studies suggest that, for large failures, the…

Geophysics · Physics 2023-07-19 Andrea Baldassarri , Bernard Sapoval

We start with the idea that open quantum systems can be used to represent financial markets by modelling events from the external environment and their impact on the market price. We show how to characterize distinct orbits of the time…

Mathematical Finance · Quantitative Finance 2025-05-05 Will Hicks

Investigations of inverse statistics (a concept borrowed from turbulence) in stock markets, exemplified with filtered Dow Jones Industrial Average, S&P 500, and NASDAQ, have uncovered a novel stylized fact that the distribution of exit time…

Other Condensed Matter · Physics 2008-12-02 Wei-Xing Zhou , Wei-Kang Yuan

We consider the randomness of market trade as the origin of price and return stochasticity. We look at time series of trade values and volumes as random variables during the averaging interval {\Delta} and describe the dependences of…

Statistical Finance · Quantitative Finance 2024-06-18 Victor Olkhov

Price without transaction makes no sense. Trading volume authenticates its corresponding price, so there exist mutual information and correlation between price and trading volume. We are curious about fractal features of this correlation…

Computational Finance · Quantitative Finance 2020-08-26 Jamshid Ardalankia , Mohammad Osoolian , Emmanuel Haven , G. Reza Jafari

Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the…

Statistical Mechanics · Physics 2019-08-17 Johannes Berg , Matteo Marsili , Aldo Rustichini , Riccardo Zecchina

The market efficiency hypothesis has been proposed to explain the behavior of time series of stock markets. The Black-Scholes model (B-S) for example, is based on the assumption that markets are efficient. As a consequence, it is…

Statistical Finance · Quantitative Finance 2019-03-20 Carlos Arturo Soto Campos , Leopoldo Sánchez Cantú , Zeus Hernández Veleros
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