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The kinetic exchange model has gained popularity in the field of statistical mechanics for investigating wealth interaction. Traditionally, kinetic exchange models have been studied without considering preferential interactions. However, in…

Physics and Society · Physics 2023-05-26 Suchismita Banerjee

Firm growth process in the developing economies is known to produce divergence in their growth path giving rise to bimodality in the size distribution. Similar bimodality has been observed in wealth distribution as well. Here, we introduce…

General Finance · Quantitative Finance 2015-06-15 Anindya S. Chakrabarti

We study a minimalist kinetic model for economies. A system of agents with local trading rules display emergent demand behaviour. We examine the resulting wealth distribution to look for non-thermal behaviour. We compare and contrast this…

General Finance · Quantitative Finance 2008-12-02 Wan Ahmad Tajuddin Wan Abdullah , Sidiq Mohamad Khidzir

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

We formulate a flexible micro-to-macro kinetic model which is able to explain the emergence of income profiles out of a whole of individual economic interactions. The model is expressed by a system of several nonlinear differential…

Economics · Quantitative Finance 2016-11-28 Maria Letizia Bertotti , Giovanni Modanese

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

We discuss a family of models expressed by nonlinear differential equation systems describing closed market societies in the presence of taxation and redistribution. We focus in particular on three example models obtained in correspondence…

General Finance · Quantitative Finance 2014-03-19 Maria Letizia Bertotti , Giovanni Modanese

This article is a supplement to my main contribution to the Routledge Handbook of Complexity Economics (2023). On the basis of three recent papers, it presents an unconventional perspective on economic inequality from a statistical physics…

General Economics · Economics 2023-07-06 Victor M. Yakovenko

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Samuel E. Vazquez , Simone Severini

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

Theoretical Economics · Economics 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

Persistent wealth inequality, where a small fraction of the population accumulates most resources while the majority remains economically vulnerable, is a widespread phenomenon. We investigate its underlying mechanisms using an agent-based…

Physics and Society · Physics 2026-02-16 Gastón Villafañe , Lautaro Giordano , María Fabiana Laguna

This study considers a model of the income distribution of agents whose pairwise interaction is asymmetric and price-invariant. Asymmetric transactions are typical for chain-trading groups who arrange their business such that commodities…

Probability · Mathematics 2009-11-11 Alexander M. Chebotarev

We propose a simple dynamical model of wealth evolution. The invariant distributions are of Pareto type and are dynamically stable as conjectured by Pareto.

Economics · Quantitative Finance 2014-10-06 Ricardo Pérez-Marco

Linear stochastic models and discretized kinetic theory are two complementary analytical techniques used for the investigation of complex systems of economic interactions. The former employ Langevin equations, with an emphasis on stock…

General Finance · Quantitative Finance 2017-02-10 M. L. Bertotti , A. K. Chattopadhyay , G. Modanese

We develop a method using parameterized linear equations to define trading mechanisms in market design models. Our method adeptly addresses challenges arising from factors such as complex endowments or coarse priorities, while offering…

Theoretical Economics · Economics 2025-08-18 Jingsheng Yu , Jun Zhang

Reproductive success and survival are influenced by wealth in human populations. Wealth is transmitted to offsprings and strategies of transmission vary over time and among populations, the main variation being how equally wealth is…

Physics and Society · Physics 2015-06-23 G. Augustins , L. Etienne , J-B. Ferdy , R. Ferrer , B. Godelle , E. Pitard , F. Rousset

I introduce a new way of decomposing the evolution of the wealth distribution using a simple continuous time stochastic model, which separates the effects of mobility, savings, labor income, rates of return, demography, inheritance, and…

General Economics · Economics 2022-11-29 Thomas Blanchet

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

In this short paper we define the wealth process in a spin model for market microstructure, for individual agents and in aggregate. The agents in our model try to balance their desire to belong to the local majority (herding behavior),…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Ming Yuen