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How do individuals accumulate wealth as they interact economically? We outline the consequences of a simple microscopic model in which repeated pairwise exchanges of assets between individuals build the wealth distribution of a population.…

Physics and Society · Physics 2010-08-31 P. L. Krapivsky , S. Redner

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

This paper reviews recent attempts at modelling inequality of wealth as an emergent phenomenon of interacting-agent processes. We point out that recent models of wealth condensation which draw their inspiration from molecular dynamics have,…

Multiagent Systems · Computer Science 2007-05-23 Thomas Lux

In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of inequality (e.g. Gini index). We investigate three type of…

Probability · Mathematics 2021-05-18 Fei Cao , Sebastien Motsch

Taking environmental tax rate as given, is there an optimal allocation of tax revenues to benefit economic variables? This paper analyzes this issue in an overlapping-generations model with the pollution-related health damage. It finds the…

Economics · Quantitative Finance 2015-12-08 Su-Mei Chen , Ling-Yun He

We study the wealth distribution of UK households through a detailed analysis of data from wealth surveys and rich lists, and propose a non-linear Kesten process to model the dynamics of household wealth. The main features of our model are…

Theoretical Economics · Economics 2022-09-07 Samuel Forbes , Stefan Grosskinsky

We study here numerically the behavior of an ideal gas like model of markets having only one non-consumable commodity. We investigate the behavior of the steady-state distributions of money, commodity and total wealth, as the dynamics of…

Physics and Society · Physics 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

We consider a simple theoretical model to investigate the impact of inheritances on the wealth distribution. Wealth is described as a finite resource, which remains constant over different generations and is divided equally among offspring.…

Physics and Society · Physics 2021-11-17 Pedro Patrício , Nuno A. M. Araújo

We analyze wealth condensation for a wide class of stochastic economy models on the basis of the economic analog of thermodynamic potentials, termed transfer potentials. The economy model is based on three common transfers modes of wealth:…

Physics and Society · Physics 2009-11-11 Dieter Braun

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics is offering models of markets as complex systems, such as the gas-like model, able to predict money distributions…

Chaotic Dynamics · Physics 2010-08-05 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

In this paper, I consider a simple heterogeneous agents model of a production economy with uncertain climate change and examine constrained efficient carbon taxation. If there are frictionless, complete financial markets, the simple model…

General Economics · Economics 2022-10-18 Felix Kübler

We analyze the ideal gas like models of markets and review the different cases where a `savings' factor changes the nature and shape of the distribution of wealth. These models can produce similar distribution of wealth as observed across…

Physics and Society · Physics 2009-11-13 Arnab Chatterjee , Bikas K Chakrabarti

The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations using the gas…

General Finance · Quantitative Finance 2011-05-18 Juan C. Ferrero

This paper studies the income fluctuation problem with capital income risk (i.e., dispersion in the rate of return to wealth). Wealth returns and labor earnings are allowed to be serially correlated and mutually dependent. Rewards can be…

Theoretical Economics · Economics 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

Theoretical Economics · Economics 2023-03-02 Valerio Astuti

This paper studies how household heterogeneity affects the level and cyclical behavior of the optimal carbon tax in a real economy. We demonstrate that an equity-efficiency trade-off arises due to income inequality and heterogeneity in the…

Theoretical Economics · Economics 2025-03-04 Cristiano Cantore , Giovanni Di Bartolomeo , Francesco Saverio Gaudio

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

Random partition models are widely used in Bayesian methods for various clustering tasks, such as mixture models, topic models, and community detection problems. While the number of clusters induced by random partition models has been…

Machine Learning · Statistics 2022-06-22 Changwoo J. Lee , Huiyan Sang

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

Physics and Society · Physics 2020-03-10 Lennart Fernandes , Jacques Tempere