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We introduce an auto-regressive model which captures the growing nature of realistic markets. In our model agents do not trade with other agents, they interact indirectly only through a market. Change of their wealth depends, linearly on…

综合金融 · 定量金融 2009-07-28 Urna Basu , P. K. Mohanty

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics is offering models of markets as complex systems, such as the gas-like model, able to predict money distributions…

混沌动力学 · 物理学 2010-08-05 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We find the perhaps surprising inequality that the weighted average of independent and identically distributed Pareto random variables with infinite mean is larger than one such random variable in the sense of first-order stochastic…

风险管理 · 定量金融 2024-03-14 Yuyu Chen , Paul Embrechts , Ruodu Wang

A brief overview of the models and data analyses of income, wealth, consumption distributions by the physicists, are presented here. It has been found empirically that the distributions of income and wealth possess fairly robust features,…

综合金融 · 定量金融 2018-08-07 Kiran Sharma , Anirban Chakraborti

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…

统计力学 · 物理学 2008-12-02 T. Di Matteo , T. Aste , S. T. Hyde

In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These…

理论经济学 · 经济学 2023-03-02 Valerio Astuti

We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the marketwith quenched random saving factors for its agents we show that the steady state…

物理与社会 · 物理学 2008-12-10 Arnab Chatterjee , Bikas K. Chakrabarti , Robin B. Stinchcombe

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

物理与社会 · 物理学 2007-05-23 Indrani Bose , Subhasis Banerjee

Public Goods Games represent one of the most useful tools to study group interactions between individuals. However, even if they could provide an explanation for the emergence and stability of cooperation in modern societies, they are not…

物理与社会 · 物理学 2016-05-05 Sandro Meloni , Cheng-Yi Xia , Yamir Moreno

In view of some persistent recent reports on a singular kind of growth of the world wealth inequality, where a finite (often handful) number of people tend to possess more than the wealth of the planet's 50\% population, we explore here if…

It is known that asset exchange models with symmetric interaction between agents show either a Gibbs/log-normal distribution of assets among the agents or condensation of the entire wealth in the hands of a single agent, depending upon the…

物理与社会 · 物理学 2008-12-02 Sitabhra Sinha

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

综合金融 · 定量金融 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

In this communication, some economic models given by functional mappings are addressed. These are models for random markets where agents trade by pairs and exchange their money in a random and conservative way. They display the exponential…

交易与市场微观结构 · 定量金融 2014-07-25 Ricardo Lopez-Ruiz , Elyas Shivanian , Jose-Luis Lopez

We consider a simple theoretical model to investigate the impact of inheritances on the wealth distribution. Wealth is described as a finite resource, which remains constant over different generations and is divided equally among offspring.…

物理与社会 · 物理学 2021-11-17 Pedro Patrício , Nuno A. M. Araújo

We analyze a class of energy and wealth redistribution models. We characterize their stationary measures and show that they have a discrete dual process. In particular we show that the wealth distribution model with non-zero propensity can…

概率论 · 数学 2014-03-05 Pasquale Cirillo , Frank Redig , Wioletta Ruszel

I introduce a new way of decomposing the evolution of the wealth distribution using a simple continuous time stochastic model, which separates the effects of mobility, savings, labor income, rates of return, demography, inheritance, and…

综合经济学 · 经济学 2022-11-29 Thomas Blanchet

In this short paper, we overview and extend the results of our papers cond-mat/0001432, cond-mat/0008305, and cond-mat/0103544, where we use an analogy with statistical physics to describe probability distributions of money, income, and…

统计力学 · 物理学 2008-12-02 Adrian A. Dragulescu , Victor M. Yakovenko

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple…

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

Increasingly, a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas…

综合金融 · 定量金融 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

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…

理论经济学 · 经济学 2018-12-05 Qingyin Ma , John Stachurski , Alexis Akira Toda