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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

While the use of spatial agent-based and individual-based models has flourished across many scientific disciplines, the complexities these models generate are often difficult to manage and quantify. This research reduces population-driven,…

Physics and Society · Physics 2021-08-24 John C. Stevenson

Wealth inequality is an important matter for economic theory and policy. Ongoing debates have been discussing recent rise in wealth inequality in connection with recent development of active financial markets around the world. Existing…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Stefano Olla

We introduce a minimalist dynamical model of wealth evolution and wealth sharing among $N$ agents as a platform to compare the relative merits of altruism and individualism. In our model, the wealth of each agent independently evolves by…

Physics and Society · Physics 2021-10-20 B. De Bruyne , J. Randon-Furling , S. Redner

A dynamical model of capital exchange is introduced in which a specified amount of capital is exchanged between two individuals when they meet. The resulting time dependent wealth distributions are determined for a variety of exchange…

Statistical Mechanics · Physics 2009-10-30 S. Ispolatov , P. L. Krapivsky , S. Redner

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

A mathematical model of measurement of the perception of well-being for groups with increasing incomes, but proportionally unequal is proposed. Assuming that welfare grows with own income and decreases with relative inequality (income of…

General Economics · Economics 2019-11-27 Fernando Córdova-Lepe

The accumulation of individual fitness or wealth is modelled as a population game in which pairs of individuals are recurrently and randomly matched to play a game over a resource. In addition, all individuals have random access to a…

Physics and Society · Physics 2021-08-13 Sylvain Gibaud , Jorgen W. Weibull

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

We investigate the wealth evolution in a system of agents that exchange wealth through a disordered network in presence of an additive stochastic Gaussian noise. We show that the resulting wealth distribution is shaped by the degree…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , S. T. Hyde

This paper analyzes the equilibrium distribution of wealth in an economy where firms' productivities are subject to idiosyncratic shocks, returns on factors are determined in competitive markets, dynasties have linear consumption functions…

General Finance · Quantitative Finance 2009-06-11 Davide Fiaschi , Matteo Marsili

We investigate the relation between economic growth and equality in a modified version of the agent-based asset exchange model (AEM). The modified model is a driven system that for a range of parameter space is effectively ergodic in the…

General Finance · Quantitative Finance 2013-05-06 Kang Liu , N. Lubbers , W. Klein , J. Tobochnik , B. Boghosian , Harvey Gould

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

The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapes the population front and the evolutionary…

Populations and Evolution · Quantitative Biology 2018-11-26 Daniel A. Beller , Kim M. J. Alards , Francesca Tesser , Ricardo A. Mosna , Federico Toschi , Wolfram Möbius

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

Several tiers of social organization with varying economic and social disparities have been observed. However, a quantitative characterization of the types and the causal mechanisms for the transitions have hardly been explained. While…

Physics and Society · Physics 2024-07-03 Kenji Itao , Kunihiko Kaneko

Humanity has been fascinated by the pursuit of fortune since time immemorial, and many successful outcomes benefit from strokes of luck. But success is subject to complexity, uncertainty, and change - and at times becoming increasingly…

General Economics · Economics 2019-04-19 Didier Sornette , Spencer Wheatley , Peter Cauwels

We develop a statistical framework for wealth allocation in which agents hold discrete units of wealth and macrostates are defined by how wealth is distributed across agents. The structure of the economic state space is characterized…

Physics and Society · Physics 2026-02-04 Korak Biswas

We develop a Bayesian state-space model for analyzing the dynamic evolution of income distributions using grouped income data. The model combines the generalized beta distribution of the second kind (GB2) with latent time-varying parameters…

Econometrics · Economics 2026-05-19 Kazuhiko Kakamu

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and…

Physics and Society · Physics 2015-10-05 Benoit Mahault , Avadh Saxena , Cristiano Nisoli