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The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

统计力学 · 物理学 2009-11-10 Juan C. Ferrero

In order to simulate the complex phenomena manifested in stock markets, we introduce a continuous asynchronous model in which millions of individual traders interact through a central orders matching mechanism, just as it happens in real…

统计力学 · 物理学 2008-12-02 M. Shatner , L. Muchnik , M. Leshno , S. Solomon

The Matthew effect describes the phenomenon where the rich tend to get richer. Such a success-driven mechanism has been studied in spatial public goods games in an inter-group way, where each individual's social power is enhanced across all…

物理与社会 · 物理学 2023-10-24 Chaoqian Wang

We develop a statistical framework for wealth allocation in which agents hold discrete units of wealth and macrostates are defined by how wealth is distributed across agents. The structure of the economic state space is characterized…

物理与社会 · 物理学 2026-02-04 Korak Biswas

The formation and stability of social hierarchies is a question of general relevance. Here, we propose a simple generalized theoretical model for establishing social hierarchy via pair-wise interactions between individuals and investigate…

物理与社会 · 物理学 2023-11-28 Joseph Hickey , Jörn Davidsen

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

There is a widespread recent interest in using ideas from statistical physics to model certain types of problems in economics and finance. The main idea is to derive the macroscopic behavior of the market from the random local interactions…

概率论 · 数学 2020-10-15 Daniel Remenik

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…

统计力学 · 物理学 2009-11-07 Anirban Chakraborti

We construct a diffusion approximation of a repeated game in which agents make bets on outcomes of i.i.d. random vectors and their strategies are close to an asymptotically optimal strategy. This model can be interpreted as trading in an…

数理金融 · 定量金融 2021-08-30 Mikhail Zhitlukhin

In this paper, we present a multi-period trading model in the style of Kyle (1985)'s inside trading model, by assuming that there are at least two insiders in the market with long-lived private information, under the requirement that each…

交易与市场微观结构 · 定量金融 2011-03-07 Fuzhou Gong , Hong Liu

Using the Generalised Lotka Volterra (GLV) model adapted to deal with muti agent systems we can investigate economic systems from a general viewpoint and obtain generic features common to most economies. Assuming only weak generic…

统计力学 · 物理学 2009-11-07 Sorin Solomon , Peter Richmond

Bilateral trade is one of the most natural and important forms of economic interaction: A seller has a single, indivisible item for sale, and a buyer is potentially interested. The two parties typically have different, privately known…

计算机科学与博弈论 · 计算机科学 2023-12-20 Yixuan Even Xu , Hanrui Zhang , Vincent Conitzer

In our multi-agent model agents generate wealth from repeated interactions for which a prisoner's dilemma payoff matrix is assumed. Their gains are taxed by a government at a rate $\alpha$. The resulting budget is spent to cover…

物理与社会 · 物理学 2021-06-30 Frank Schweitzer , Luca Verginer , Giacomo Vaccario

The so called "globalization" process (i.e. the inexorable integration of markets, currencies, nation-states, technologies and the intensification of consciousness of the world as a whole) has a behavior exactly equivalent to a system that…

综合金融 · 定量金融 2016-12-12 Esteban Guevara Hidalgo

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 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…

经济学 · 定量金融 2016-01-19 Ricardo T. Fernholz

Many models of market dynamics make use of the idea of conservative wealth exchanges among economic agents. A few years ago an exchange model using extremal dynamics was developed and a very interesting result was obtained: a self-generated…

物理与社会 · 物理学 2015-06-12 L. A. Braunstein , P. A. Macri , J. R. Iglesias

Competition is a main tenet of economics, and the reason is that a perfectly competitive equilibrium is Pareto-efficient in the absence of externalities and public goods. Whether a product is selected in a market crucially relates to its…

经济学 · 定量金融 2015-12-09 Su Do Yi , Seung Ki Baek , Guillaume Chevereau , Eric Bertin

We propose a simple stochastic model of market behavior. Dividing market participants into two groups: trend-followers and fundamentalists, we derive the general form of a stochastic equation of market dynamics. The model has two…

统计力学 · 物理学 2008-12-02 Guennadi Saiko

We address the issue of the dynamics of wealth accumulation and economic crisis triggered by extreme inequality, attempting to stick to most possibly intrinsic assumptions. Our general framework is that of pure or modified multiplicative…

经济学 · 定量金融 2017-05-17 Henri Benisty