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We study the effect of altruism in two simple asset exchange models: the yard sale model (winner gets a random fraction of the poorer player's wealth) and the theft and fraud model (winner gets a random fraction of the loser's wealth). We…

Physics and Society · Physics 2009-11-11 M. Rodriguez-Achach , R. Huerta-Quintanilla

Survey data are widely used to study how income inequality, poverty, and welfare evolve over time. A common practice is to estimate the income distribution separately for each year, treating annual observations as independent…

Econometrics · Economics 2026-04-24 David Gunawan

We propose and study a stochastic capital-labour model with logistic growth function. First, we show that the model has a unique positive global solution. Then, using the Lyapunov analysis method, we obtain conditions for the extinction of…

Probability · Mathematics 2022-10-03 Houssine Zine , Jaouad Danane , Delfim F. M. Torres

Based on interactions between individuals and others and references to social norms, this study reveals the impact of heterogeneity in time preference on wealth distribution and inequality. We present a novel approach that connects the…

General Economics · Economics 2024-02-15 Takeshi Kato

At the zero lower bound, the New Keynesian model predicts that output and inflation collapse to implausibly low levels, and that government spending and forward guidance have implausibly large effects. To resolve these anomalies, we…

Theoretical Economics · Economics 2021-05-12 Pascal Michaillat , Emmanuel Saez

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

All economies require physical resource consumption to grow and maintain their structure. The modern economy is additionally characterized by private debt. The Human and Resources with MONEY (HARMONEY) economic growth model links these…

Theoretical Economics · Economics 2021-06-07 Carey W. King

Innovation records often exhibit "hockey-stick" patterns of abrupt, near-singular growth at the collective level. However, this macroscopic explosiveness stands in stark contrast to individual discovery, which remains bounded by cognitive…

Physics and Society · Physics 2026-02-17 Alessandro Bellina , Gabriele Di Bona , Giordano De Marzo , Vittorio Loreto

We address a novel approach for stochastic individual-based modelling of a single species population. Individuals are distinguished by their remaining lifetimes, which are regulated by the interplay between the inexorable running of time…

Populations and Evolution · Quantitative Biology 2021-01-08 Luis R. T. Neves , Leonardo Paulo Maia

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 consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without excess inflation. However,…

Physics and Society · Physics 2018-01-01 Yaneer Bar-Yam , Jean Langlois-Meurinne , Mari Kawakatsu , Rodolfo Garcia

Two critical questions about intergenerational outcomes are: one, whether significant barriers or traps exist between different social or economic strata; and two, the extent to which intergenerational outcomes do (or can be used to) affect…

General Economics · Economics 2018-07-23 Joel Nishimura

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

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

Automation raises productivity and reduces paid human labor, but it also reallocates income and ownership claims. This paper studies that tradeoff in a static benchmark and in a stationary heterogeneous-agent general equilibrium. Firms…

General Economics · Economics 2026-05-07 Erhan Bayraktar

In this pedagogical study, carried out by adopting standard mathematical methods of nonlinear dynamics, we have presented some simple analytical models to understand terminal behaviour in industrial growth. This issue has also been…

General Finance · Quantitative Finance 2008-12-02 Arnabi Marjit , Sudipto Marjit , Arnab K. Ray

This paper presents a physical perspective on the human migration phenomenon claiming that human social behaviors are somehow but not completely inspired by nature. Human displacement or migration in the world is highly affected by…

Physics and Society · Physics 2022-01-19 Mina Ghanbari , Ghader Rezazadeh

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

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

Computer Science and Game Theory · Computer Science 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on…

Populations and Evolution · Quantitative Biology 2015-06-23 Weini Huang , Christoph Hauert , Arne Traulsen
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