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When assessing the impact of extreme events, it is often not just a single component, but the combined behaviour of several components which is important. Statistical modelling using multivariate generalized Pareto (GP) distributions…

Methodology · Statistics 2018-02-07 Anna Kiriliouk , Holger Rootzén , Johan Segers , Jennifer L. Wadsworth

We have modeled the employment/population ratio in the largest developed countries. Our results show that the evolution of the employment rate since 1970 can be predicted with a high accuracy by a linear dependence on the logarithm of real…

General Finance · Quantitative Finance 2011-09-21 Ivan Kitov , Oleg Kitov

We propose a simple quantitative model of Schumpeterian economic dynamics. New goods and services are endogenously produced through combinations of existing goods. As soon as new goods enter the market they may compete against already…

Physics and Society · Physics 2015-05-14 Stefan Thurner , Peter Klimek , Rudolf Hanel

We extend the exploration regarding dynamical approach of macroeconomic variables by tackling systematically expenditure using Statistical Physics models (for the first time to the best of our knowledge). Also, using polynomial distribution…

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

We investigate the emergence of synchronization in a network of coupled chaotic macroeconomic systems. Each node represents an economy characterized by three key variables savings, gross domestic product (GDP), and foreign capital inflows.…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Thierry Njougouo , Fernando Fagundes Ferreira , Diego Garlaschelli

A brief overview of the models and data analyses of income, wealth, consumption distributions by the physicists, are presented here. It has been found empirically that the distributions of income and wealth possess fairly robust features,…

General Finance · Quantitative Finance 2018-08-07 Kiran Sharma , Anirban Chakraborti

We develop a mean-field theory of the growth, exchange and distribution (GED) model introduced by Kang et al. (preceding paper) that accurately describes the phase transition in the limit that the number of agents $N$ approaches infinity.…

Statistical Mechanics · Physics 2021-08-04 W. Klein , N. Lubbers , Kang K. L. Liu , T. Khouw , Harvey Gould

Urban scaling theory explains the increasing returns to scale of urban wealth indicators by the per capita increase of human interactions within cities. This explanation implicitly assumes urban areas as isolated entities and ignores their…

Physics and Society · Physics 2022-11-18 Luiz G. A. Alves , Diego Rybski , Haroldo V. Ribeiro

Labor productivity in developed countries is analyzed and modeled. Modeling is based on our previous finding that the rate of labor force participation is a unique function of GDP per capita. Therefore, labor productivity is fully…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov , Oleg I. kitov

We study a generalized geometric Brownian motion framework that incorporates both entries of new units and exit mechanisms for the current population, extending earlier stochastic resetting models where these rates are treated as identical.…

General Economics · Economics 2026-05-20 Suvam Pal , Viktor Stojkoski , Arnab Pal , Trifce Sandev

The science of cities seeks to understand and explain regularities observed in the world's major urban systems. Modelling the population evolution of cities is at the core of this science and of all urban studies. Quantitatively, the most…

Physics and Society · Physics 2021-10-14 Vincent Verbavatz , Marc Barthelemy

As with parton distributions, flexible phenomenological parameterizations of generalized parton distributions (GPDs) are essential for their extraction from data. The large number of constraints imposed on GPDs make simple Lorentz covariant…

High Energy Physics - Phenomenology · Physics 2017-08-30 Brian C. Tiburzi , Gaurav Verma

Public Goods Games represent one of the most useful tools to study group interactions between individuals. However, even if they could provide an explanation for the emergence and stability of cooperation in modern societies, they are not…

Physics and Society · Physics 2016-05-05 Sandro Meloni , Cheng-Yi Xia , Yamir Moreno

The literature often employs moment-based earnings risk measures like variance, skewness, and kurtosis. However, under heavy-tailed distributions, these moments may not exist in the population. Our empirical analysis reveals that population…

Econometrics · Economics 2024-02-20 Silvia Sarpietro , Yuya Sasaki , Yulong Wang

Following the work of Okuyama, Takayasu and Takayasu [Okuyama, Takayasu and Takayasu 1999] we analyze huge databases of Japanese companies' financial figures and confirm that the Zipf's law, a power law distribution with the exponent -1,…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Makoto Katori , Hideki Takayasu , Misako Takayasu

Grouped data in form of income shares have been conventionally used to estimate income inequality due to the lack of availability of individual records. Most prior research on economic inequality relies on lower bounds of inequality…

Applications · Statistics 2018-08-30 Vanesa Jorda , José María Sarabia , Markus Jäntti

This article describes mathematical methods for estimating the top-tail of the wealth distribution and therefrom the share of total wealth that the richest $p$ percent hold, which is an intuitive measure of inequality. As the data base for…

Applications · Statistics 2018-07-11 Christoph Dalitz

An analytic model is presented that considers the evolution of a market of durable goods. The model suggests that after introduction goods spread always according to a Bass diffusion. However, this phase will be followed by a diffusion…

General Finance · Quantitative Finance 2013-06-17 Joachim Kaldasch

The recent book by T. Piketty (Capital in the Twenty-First Century) promoted the important issue of wealth inequality. In the last twenty years, physicists and mathematicians developed models to derive the wealth distribution using discrete…

Probability · Mathematics 2021-07-19 Bertram Düring , Nicos Georgiou , Enrico Scalas

The degree of convergence of the business cycles of the economies of the European Union is a key policy issue. In particular, a substantial degree of convergence is needed if the European Central Bank is to be capable of setting a monetary…

Condensed Matter · Physics 2015-06-24 P Ormerod , C Mounfield