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Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

综合金融 · 定量金融 2016-03-29 Elvis Oltean , Fedor Kusmartsev

A simple heuristic model, including the multiple exchanges between economic agents, is used to explain the mechanism of emerging and maintenance of social inequality in the market economy. The model allows calculating a density function of…

生物物理 · 物理学 2023-03-16 Vladimir Pokrovskii

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

We consider an ideal closed stock market, in which 100 traders have economic activities. The assets of the traders change through buying and selling stocks. We simulate the assets under conservation of both total currency and total number…

统计力学 · 物理学 2008-12-10 Yoshikazu Ohtaki , Hiroshi H. Hasegawa

In the present paper, we identify several distributions from Physics and study their applicability to phenomena such as distribution of income, wealth, and expenditure. Firstly, we apply logistic distribution to these data and we find that…

综合金融 · 定量金融 2016-03-29 Elvis Oltean

Exponential distribution is ubiquitous in the framework of multi-agent systems. Usually, it appears as an equilibrium state in the asymptotic time evolution of statistical systems. It has been explained from very different perspectives. In…

适应与自组织系统 · 物理学 2011-03-10 Ricardo Lopez-Ruiz , Jose-Luis Lopez , Xavier Calbet

One of the most important empirical findings in microeconometrics is the pervasiveness of heterogeneity in economic behaviour (cf. Heckman 2001). This paper shows that cumulative distribution functions and quantiles of the nonparametric…

计量经济学 · 经济学 2020-05-19 Juan Carlos Escanciano

Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the…

综合金融 · 定量金融 2015-05-14 Abhijit Chakraborty , S. S. Manna

This study considers a model of the income distribution of agents whose pairwise interaction is asymmetric and price-invariant. Asymmetric transactions are typical for chain-trading groups who arrange their business such that commodities…

概率论 · 数学 2009-11-11 Alexander M. Chebotarev

We discuss the ideal gas like models of a trading market. The effect of savings on the distribution have been thoroughly reviewed. The market with fixed saving factors leads to a Gamma-like distribution. In a market with quenched random…

物理与社会 · 物理学 2008-12-02 Arnab Chatterjee , Bikas K Chakrabarti

The rich-get-richer mechanism (agents increase their ``wealth'' randomly at a rate proportional to their holdings) is often invoked to explain the Pareto power-law distribution observed in many physical situations, such as the degree…

综合金融 · 定量金融 2008-12-02 James P. Bagrow , Jie Sun , Daniel ben-Avraham

An important class of economic models involve agents whose wealth changes due to transactions with other agents. Several authors have pointed out an analogy with kinetic theory, which describes molecules whose momentum and energy changes…

物理与社会 · 物理学 2014-07-22 Bruce M. Boghosian

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

统计力学 · 物理学 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

The aggregation of individual risks in large credit and insurance portfolios is guided by diversification and the law of large numbers, which formalizes the convergence of sample averages to their means. At the same time, regulatory capital…

风险管理 · 定量金融 2026-05-19 Max Nendel

Asset exchange models (AEMs) provide a physics-inspired framework for studying wealth formation. These models capture wealth distribution dynamics via pairwise money exchanges, yielding steady-state distributions from exponential to…

物理与社会 · 物理学 2025-09-30 Joel Wagner , Siew Ann Cheong , Viola Priesemann

Simple agent based exchange models are a commonplace in the study of wealth distribution of artificial societies. Generally, each agent is characterized by its wealth and by a risk-aversion factor, and random exchanges between agents allow…

适应与自组织系统 · 物理学 2009-11-11 G. M. Caon , S. Goncalves , J. R. Iglesias

The so-called "Yard-Sale Model" of wealth distribution posits that wealth is transferred between economic agents as a result of transactions whose size is proportional to the wealth of the less wealthy agent. In recent work [B.M. Boghosian,…

综合金融 · 定量金融 2014-07-28 Bruce M. Boghosian

We present here a general framework, expressed by a system of nonlinear differential equations, suitable for the modelling of taxation and redistribution in a closed (trading market) society. This framework allows to describe the evolution…

物理与社会 · 物理学 2011-09-06 Maria Letizia Bertotti , Giovanni Modanese

The class of $\alpha$-stable distributions received much interest for modelling impulsive phenomena occur in engineering, economics, insurance, and physics. The lack of non-analytical form for probability density function is considered as…

统计方法学 · 统计学 2018-09-18 Mahdi Teimouri

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

经济学 · 定量金融 2016-05-12 Eleonora Perversi , Eugenio Regazzini