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We discuss several models in order to shed light on the origin of power-law distributions and power-law correlations in financial time series. From an empirical point of view, the exponents describing the tails of the price increments…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud

Using the analogy with inelastic granular gasses we introduce a model for wealth exchange in society. The dynamics is governed by a kinetic equation, which allows for self-similar solutions. The scaling function has a power-law tail, the…

Statistical Mechanics · Physics 2008-12-02 Frantisek Slanina

We address the issue of the dynamics of wealth accumulation and economic crisis triggered by extreme inequality, attempting to stick to most possibly intrinsic assumptions. Our general framework is that of pure or modified multiplicative…

Economics · Quantitative Finance 2017-05-17 Henri Benisty

In simulations of some economic gas-like models, the asymptotic regime shows an exponential wealth distribution, independently of the initial wealth distribution given to the system. The appearance of this statistical equilibrium for this…

General Finance · Quantitative Finance 2011-05-23 Jose-Luis Lopez , Ricardo Lopez-Ruiz , Xavier Calbet

The distribution of household income is a central concern of modern economic policy due to its strong influence on life quality. Yet, non-expert audiences are unaware of the relationship between these two factors. To effectively communicate…

General Economics · Economics 2021-08-10 Sang Truong , Humberto Barreto

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz…

General Finance · Quantitative Finance 2009-01-31 F. Clementi , T. Di Matteo , M. Gallegati , G. Kaniadakis

The goal of international trade theories is to explain the exchange of goods and services between different countries, aiming to benefit from it. Albeit the idea is very simple and known since ancient history, smart policy and business…

General Finance · Quantitative Finance 2017-07-31 Roberto De Luca , Marco Di Mauro , Angelo Falzarano , Adele Naddeo

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

Supersymmetry breaking close to the scale of grand unification can explain cosmic inflation. As we demonstrate in this paper, this can be achieved in strongly coupled supersymmetric gauge theories, such that the energy scales of inflation…

High Energy Physics - Phenomenology · Physics 2018-06-26 Valerie Domcke , Kai Schmitz

This Chapter is written for the Festschrift celebrating the 70th birthday of the distinguished economist Duncan Foley from the New School for Social Research in New York. This Chapter reviews applications of statistical physics methods,…

Statistical Finance · Quantitative Finance 2012-05-01 Victor M. Yakovenko

In [1] we presented a model for transactions when goods are given away in the expectation of a later settlement. In settings where people keep track of their social accounts we were able to redefine concepts like account balance, yield…

General Finance · Quantitative Finance 2014-11-10 W. P. Weijland

Why is thermalisation a universal phenomenon? How does a quantum system reach thermodynamical equilibrium? These questions are not new, dating even from the very birth of quantum theory and have been the subject of a renewed interest over…

Quantum Physics · Physics 2015-11-05 Grégoire Ithier , Florent Benaych-Georges

The aim here is to address the origins of sustainability for the real growth rate in the United States. For over a century of observations on the real GDP per capita of the United States a sustainable two percent growth rate has been…

General Finance · Quantitative Finance 2016-08-08 Ali Hosseiny

An innovative method is proposed to construct a quantile dependence system for inflation and money growth. By considering all quantiles and leveraging a novel notion of quantile sensitivity, the method allows the assessment of changes in…

Econometrics · Economics 2023-11-20 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

We study cross-country GDP losses due to financial crises in terms of frequency (number of loss events per period) and severity (loss per occurrence). We perform the Loss Distribution Approach (LDA) to estimate a multi-country aggregate GDP…

Risk Management · Quantitative Finance 2015-03-19 Daniel Kapp , Marco Vega

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

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

General Finance · Quantitative Finance 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

Biological Physics · Physics 2023-03-16 Vladimir Pokrovskii

With a new deprivation (or poverty) function, in this paper, we theoretically study the changes in poverty with respect to the `global' mean and variance of the income distribution using Indian survey data. We show that when the income…

Physics and Society · Physics 2015-06-26 Amit K Chattopadhyay , Sushanta K Mallick