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We study the properties of a subclass of stochastic processes called discrete time nonlinear Markov chains with an aggregator, which naturally appear in various topics such as strategic queueing systems, inventory dynamics, opinion…

概率论 · 数学 2025-12-24 Bar Light

We study a nonlinear system of partial differential equations arising in macroeconomics which utilizes a mean field approximation. This system together with the corresponding data, subject to two moment constraints, is a model for debt and…

偏微分方程分析 · 数学 2019-04-15 David M. Ambrose

Over the last decades, the distribution of income and wealth has been deteriorating in many countries, leading to increased inequalities within and between societies. This tendency has revived the interest in the subject greatly, yet it…

综合金融 · 定量金融 2017-09-22 F. Clementi , M. Gallegati

In this article, we discuss a dynamical stochastic model that represents the time evolution of income distribution of a population, where the dynamics develop from an interplay of multiple economic exchanges in the presence of…

经济学 · 定量金融 2017-02-28 Maria Letizia Bertotti , Amit K Chattopadhyay , Giovanni Modanese

We develop a theory of demand economics for an era of material abundance. The binding constraint on growth has shifted from insufficient aggregate demand to inadequate demand-tier upgrading. Our result is that, the new engine of growth lies…

综合经济学 · 经济学 2025-10-21 Fenghua Wen , Xieyu Yin , Chufu Wen

This Colloquium reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that…

统计金融 · 定量金融 2009-12-24 Victor M. Yakovenko , J. Barkley Rosser

While generic competitive systems exhibit mixtures of hierarchy and cycles, real-world systems are predominantly hierarchical. We demonstrate and extend a mechanism for hierarchy; systems with similar agents approach perfect hierarchy in…

种群与进化 · 定量生物学 2024-02-12 Christopher Cebra , Alexander Strang

We consider the problem of robustly maximizing the growth rate of investor wealth in the presence of model uncertainty. Possible models are all those under which the assets' region $E$ and instantaneous covariation $c$ are known, and where…

投资组合管理 · 定量金融 2018-01-22 Constantinos Kardaras , Scott Robertson

We propose a highly schematic economic model in which, in some cases, wage inequalities lead to higher overall social welfare. This is due to the fact that high earners can consume low productivity, non essential products, which allows…

综合经济学 · 经济学 2020-04-22 Jean-Philippe Bouchaud

We investigate the unbiased model for money exchanges: agents give at random time a dollar to one another (if they have one). Surprisingly, this dynamics eventually leads to a geometric distribution of wealth (shown empirically by…

概率论 · 数学 2022-08-12 Fei Cao , Pierre-Emmanuel Jabin

The conservative wealth-exchange process derived from trade interactions is modeled as a multiplicative stochastic transference of value, where each interaction multiplies the wealth of the poorest of the two intervening agents by a random…

综合金融 · 定量金融 2015-05-30 Cristian F. Moukarzel

We analyze inequality aspects of the agent-based model of capitalist economy named it Social Architecture of Capitalism that has been introduced by Ian Wright. The model contemplates two main types of agents, workers and capitalists, which…

物理与社会 · 物理学 2025-03-12 Jhordan Silveira Borba , Sebastian Gonçalves , Celia Anteneodo

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…

综合金融 · 定量金融 2008-12-02 Sebastian D. Guala

This paper develops a new model of business cycles. The model is economical in that it is solved with an aggregate demand-aggregate supply diagram, and the effects of shocks and policies are obtained by comparative statics. The model builds…

理论经济学 · 经济学 2022-03-22 Pascal Michaillat , Emmanuel Saez

We model the dynamics of the Schelling model for agents described simply by a continuously distributed variable - wealth. Agents move to neighborhoods where their wealth is not lesser than that of some proportion of their neighbors, the…

物理与社会 · 物理学 2017-05-23 Anand Sahasranaman , Henrik Jeldtoft Jensen

We develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

统计力学 · 物理学 2008-12-02 Arnab Das , Sudhakar Yarlagadda

We study the competition between random multiplicative growth and redistribution/migration in the mean-field limit, when the number of sites is very large but finite. We find that for static random growth rates, migration should be strong…

无序系统与神经网络 · 物理学 2026-03-11 Maximilien Bernard , Jean-Philippe Bouchaud , Pierre Le Doussal

Pareto law, which states that wealth distribution in societies have a power-law tail, has been a subject of intensive investigations in statistical physics community. Several models have been employed to explain this behavior. However, most…

交易与市场微观结构 · 定量金融 2009-11-13 M. Ali Saif , Prashant M. Gade

It has been conjectured that canonical Bewley--Huggett--Aiyagari heterogeneous-agent models cannot explain the joint distribution of income and wealth. The results stated below verify this conjecture and clarify its implications under very…

综合经济学 · 经济学 2021-05-27 John Stachurski , Alexis Akira Toda

Understanding the evolutionary stability of cooperation is a central problem in biology, sociology, and economics. There exist only a few known mechanisms that guarantee the existence of cooperation and its robustness to cheating. Here, we…

种群与进化 · 定量生物学 2024-11-20 Lorenzo Fant , Onofrio Mazzarisi , Emanuele Panizon , Jacopo Grilli