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How do individuals accumulate wealth as they interact economically? We outline the consequences of a simple microscopic model in which repeated pairwise exchanges of assets between individuals build the wealth distribution of a population.…

物理与社会 · 物理学 2010-08-31 P. L. Krapivsky , S. Redner

We analyze the household savings problem in a general setting where returns on assets, non-financial income and impatience are all state dependent and fluctuate over time. All three processes can be serially correlated and mutually…

理论经济学 · 经济学 2020-08-07 Qingyin Ma , John Stachurski , Alexis Akira Toda

We present a general equilibrium macro-finance model with a positive feedback loop between capital investment and land price. As leverage is relaxed beyond a critical value, through the financial accelerator, a phase transition occurs from…

理论经济学 · 经济学 2024-02-15 Tomohiro Hirano , Ryo Jinnai , Alexis Akira Toda

A macroeconomic model based on the economic variables (i) assets, (ii) leverage (defined as debt over asset) and (iii) trust (defined as the maximum sustainable leverage) is proposed to investigate the role of credit in the dynamics of…

经济学 · 定量金融 2016-08-24 Jeroen Rozendaal , Yannick Malevergne , Didier Sornette

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

We present a stylized model with feedback loops for the evolution of a population's wealth over generations. Individuals have both talent and wealth: talent is a random variable distributed identically for everyone, but wealth is a random…

计算机科学与博弈论 · 计算机科学 2022-09-16 Krishna Acharya , Eshwar Ram Arunachaleswaran , Sampath Kannan , Aaron Roth , Juba Ziani

In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of inequality (e.g. Gini index). We investigate three type of…

概率论 · 数学 2021-05-18 Fei Cao , Sebastien Motsch

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

适应与自组织系统 · 物理学 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

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

A continuous variable changing between 0 and 1 is introduced to characterise contentment, or satisfaction with life, of an individual and an equation governing its evolution is postulated from analysis of several factors likely to affect…

综合经济学 · 经济学 2021-09-01 Alexey A. Burluka

In this paper the dependence of wealth distribution and the velocity of money on the required reserve ratio is examined based on a random transfer model of money and computer simulations. A fractional reserve banking system is introduced to…

物理与社会 · 物理学 2009-11-11 Ning Xi , Ning Ding , Yougui Wang

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

物理与社会 · 物理学 2025-06-24 Alexander Jochim , Stefan Bornholdt

This paper investigates how dispersion in banks' subjective inflation forecasts is a channel of the transmission of monetary policy to credit supply. We extend the Monti-Klein model of monopolistic banking by incorporating risk aversion,…

综合经济学 · 经济学 2025-12-16 Eric Vansteenberghe

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

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

Voluntary insurance contracts constitute a puzzle because they increase the expectation value of one party's wealth, whereas both parties must sign for such contracts to exist. Classically, the puzzle is resolved by introducing non-linear…

风险管理 · 定量金融 2017-07-14 Ole Peters , Alexander Adamou

We introduce a simple model of economy, where the time evolution is described by an equation capturing both exchange between individuals and random speculative trading, in such a way that the fundamental symmetry of the economy under an…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud , Marc Mezard

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

统计力学 · 物理学 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

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 construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates…

理论经济学 · 经济学 2022-04-28 Jean-Philippe Bouchaud , Roger Farmer
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