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A simple computer simulation model of a closed market on a fixed network with free flow of goods and money is introduced. The model contains only two variables : the amount of goods and money beside the size of the system. An initially flat…

Adaptation and Self-Organizing Systems · Physics 2012-09-25 Marcel Ausloos , Andrzej Pekalski

We model equilibrium allocations in a distribution network as the solution of a linear program (LP) which minimizes the cost of unserved demands across nodes in the network. The constraints in the LP dictate that once a given node's supply…

Optimization and Control · Mathematics 2017-06-20 Jose Blanchet , Juan Li , Marvin K. Nakayama

Punctuated Equilibrium (PE) states that after long periods of evolutionary quiescence, species evolution can take place in short time intervals, where sudden differentiation makes new species emerge and some species extinct. In this paper,…

Simple agent based exchange models are a commonplace in the study of wealth distribution in an artificial economy. Generally, in a system that is composed of many agents characterized by their wealth and risk-aversion factor, two agents are…

Statistical Mechanics · Physics 2020-06-24 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias

The paper provides a survey of results related to the "$\kappa$-generalized distribution", a statistical model for the size distribution of income and wealth. Topics include, among others, discussion of basic analytical properties,…

General Finance · Quantitative Finance 2016-10-28 F. Clementi , M. Gallegati , G. Kaniadakis , S. Landini

The consumption function maps current wealth and the exogenous state to current consumption. We prove the existence and uniqueness of a consumption function when the agent has a preference for wealth. When the period utility functions are…

Theoretical Economics · Economics 2025-09-30 Qingyin Ma , Alexis Akira Toda

We study the factorised steady state of a general class of mass transport models in which mass, a conserved quantity, is transferred stochastically between sites. Condensation in such models is exhibited when above a critical mass density…

Statistical Mechanics · Physics 2008-09-25 Martin R. Evans , Satya N. Majumdar

To know the statistical distribution of a variable is an important problem in management of resources. Distributions of the power law type are observed in many real systems. However power law distributions have an infinite variance and thus…

Statistical Mechanics · Physics 2008-12-02 Hari M. Gupta , Jose R. Campanha

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 propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

We model a closed economic system with interactions that generates the features of empirical wealth distribution across all wealth brackets, namely a Gibbsian trend in the lower and middle wealth range and a Pareto trend in the higher…

General Finance · Quantitative Finance 2008-12-02 Marisciel L. Palima , Eduardo J. David

The prevalence of wealth inequality propels us to characterize its origin and progression, via empirical and theoretical studies. The Yard-Sale(YS) model, in which a portion of the smaller wealth is transferred between two individuals,…

Physics and Society · Physics 2024-01-03 Hyun Gyu Lee , Deok-Sun Lee

One of the key socioeconomic phenomena to explain is the distribution of wealth. Bouchaud and M\'ezard have proposed an interesting model of economy [Bouchaud and M\'ezard (2000)] based on trade and investments of agents. In the mean-field…

Statistical Finance · Quantitative Finance 2009-02-03 Matus Medo

In this work we use an inelastic scattering process of particles to propose a model able to reproduce the salient features of the wealth distribution in an economy by including taxes to each trading process and redistributing that collected…

General Finance · Quantitative Finance 2008-12-02 Sebastian D. Guala

In capitalist societies, only a single right can be fully exerted without constraints of any kind: the limitless accumulation of wealth. Such imperative or prime axiom is the ultimate cause of the raising waves of inequalities observed…

Physics and Society · Physics 2025-01-16 Iago Nascimento Barros , Marcelo Lobato Martins

Different models to study the wealth distribution in an artificial society have considered a transactional dynamics as the driving force. Those models include a risk aversion factor, but also a finite probability of favoring the poorer…

Physics and Society · Physics 2009-11-11 M. A. Fuentes , M. N. Kuperman , J. R. Iglesias

The modeling of probability distributions, specifically generative modeling and density estimation, has become an immensely popular subject in recent years by virtue of its outstanding performance on sophisticated data such as images and…

Machine Learning · Statistics 2023-01-02 Hongkang Yang

We discuss the equivalence between kinetic wealth-exchange models, in which agents exchange wealth during trades, and mechanical models of particles, exchanging energy during collisions. The universality of the underlying dynamics is shown…

General Finance · Quantitative Finance 2009-11-13 Anirban Chakraborti , Marco Patriarca

We study the Immediate Exchange model, recently introduced by Heinsalu and Patriarca [Eur. Phys. J. B 87: 170 (2014)], who showed by simulations that the wealth distribution in this model converges to a Gamma distribution with shape…

General Finance · Quantitative Finance 2015-06-23 Guy Katriel

Mounting evidences are being gathered suggesting that income and wealth distribution in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas in equilibrium, but also deviating…

Physics and Society · Physics 2008-12-02 Arnab Chatterjee , Sitabhra Sinha , Bikas K. Chakrabarti