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Related papers: Modeling wealth distribution in growing markets

200 papers

We present a simple model of a non-equilibrium self-organizing market where asset prices are partially driven by investment decisions of a bounded-rational agent. The agent acts in a stochastic market environment driven by various exogenous…

Computational Finance · Quantitative Finance 2018-05-18 Igor Halperin , Ilya Feldshteyn

We study efficient risk sharing among risk-averse agents in an economy with a large, finite number of states. Following a random shock to an initial agreement, agents may renegotiate. If they require a minimal utility improvement to accept…

Theoretical Economics · Economics 2026-02-23 Federico Echenique , Farzad Pourbabaee

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

Machine Learning · Computer Science 2026-05-14 Michael Vitali , Pierre Pinson

We study the distributions of money in a simple closed economic system for different types of monetary transactions. We know that for arbitrary and random sharing but locally conserving money transactions, the money distribution goes to the…

Statistical Mechanics · Physics 2009-11-07 Anirban Chakraborti

In our model, $n$ traders interact with each other and with a central bank; they are taxed on the money they make, some of which is dissipated away by corruption. A generic feature of our model is that the richest trader always wins by…

Physics and Society · Physics 2008-12-02 Anita Mehta , A. S. Majumdar , J. M. Luck

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

The distribution of income and wealth in developed economies exhibits a robust two-class structure: an exponential (Boltzmann--Gibbs) bulk covering $\sim\!97\%$ of the population, and a power-law (Pareto) tail in the upper $\sim\!3\%$. We…

Physics and Society · Physics 2026-04-28 Robert T. Nachtrieb

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

This paper will examine a model with many agents, each of whom has a different belief about the dynamics of a risky asset. The agents are Bayesian and so learn about the asset over time. All agents are assumed to have a finite (but random)…

General Finance · Quantitative Finance 2009-07-29 A. A. Brown , L. C. G. Rogers

We propose a model for equity trading in a population of agents where each agent acts to achieve his or her target stock-to-bond ratio, and, as a feedback mechanism, follows a market adaptive strategy. In this model only a fraction of…

Trading and Market Microstructure · Quantitative Finance 2018-11-14 Misha Perepelitsa , Ilya Timofeyev

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…

Physics and Society · Physics 2025-03-12 Jhordan Silveira Borba , Sebastian Gonçalves , Celia Anteneodo

Some general features of kinetic multi-agent models are reviewed, with particular attention to the relation between the agent saving propensities and the form of the equilibrium wealth distribution. The effect of a finite cutoff of the…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Guido Germano

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…

General Economics · Economics 2021-05-27 John Stachurski , Alexis Akira Toda

We investigate the repeated averaging model for money exchanges: two agents picked uniformly at random share half of their wealth to each other. It is intuitively convincing that a Dirac distribution of wealth (centered at the initial…

Probability · Mathematics 2021-08-19 Fei Cao

Binary kinetic exchange models, where money is shuffled between two agents at a time, reproduce the Boltzmann Gibbs exponential wealth distribution but cannot address the multi party trades common in real markets. We generalize the exchange…

Physics and Society · Physics 2026-05-28 Suchismita Banerjee

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

This paper considers ideal gas-like models of trading markets, where each agent is identified as a gas molecule that interacts with others trading in elastic or money-conservative collisions. Traditionally, these models introduce different…

Trading and Market Microstructure · Quantitative Finance 2009-04-03 C. Pellicer-Lostao , R. Lopez-Ruiz

We consider the ideal-gas models of trading markets, where each agent is identified with a gas molecule and each trading as an elastic or money-conserving (two-body) collision. Unlike in the ideal gas, we introduce saving propensity…

Statistical Mechanics · Physics 2008-12-02 Bikas K. Chakrabarti , Arnab Chatterjee

We study a mean-field version of rank-based models of equity markets such as the Atlas model introduced by Fernholz in the framework of Stochastic Portfolio Theory. We obtain an asymptotic description of the market when the number of…

Portfolio Management · Quantitative Finance 2014-08-21 Benjamin Jourdain , Julien Reygner

We develop a model for the evolution of wealth in a non-conservative economic environment, extending a theory developed earlier by the authors. The model considers a system of rational agents interacting in a game theoretical framework.…

General Finance · Quantitative Finance 2015-06-19 Pierre Degond , Jian-Guo Liu , Christian Ringhofer