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This paper studies the trading volumes and wealth distribution of a novel agent-based model of an artificial financial market. In this model, heterogeneous agents, behaving according to the Von Neumann and Morgenstern utility theory, may…

综合金融 · 定量金融 2015-09-09 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice , Elena Napoletano

The exchange algorithm is one of the most popular extensions of the Metropolis--Hastings algorithm to sample from doubly-intractable distributions. However, the theoretical exploration of the exchange algorithm is very limited. For example,…

统计计算 · 统计学 2021-08-20 Guanyang Wang

We discuss various limits of a simple random exchange model that can be used for the distribution of wealth. We start from a discrete state space - discrete time version of this model and, under suitable scaling, we show its functional…

概率论 · 数学 2024-03-26 Bertram Düring , Nicos Georgiou , Sara Merino-Aceituno , Enrico Scalas

We present a stochastic, agent-based, binary-transaction Asset-Exchange Model (AEM) for wealth distribution that allows for agents with negative wealth. This model retains certain features of prior AEMs such as redistribution and…

综合金融 · 定量金融 2018-02-16 Jie Li , Bruce M. Boghosian , Chengli Li

The individual-based models constitute a set of widely implemented tools to analyze the incidence of individuals heterogeneities in the spread of an infectious disease. In this work we focus our attention on human contacts heterogeneities…

种群与进化 · 定量生物学 2011-04-27 A. D. Medus , C. O. Dorso

We develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

统计力学 · 物理学 2008-12-02 Arnab Das , Sudhakar Yarlagadda

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

A money-based model for the power law distribution (PLD) of wealth in an economically interacting population is introduced. The basic feature of our model is concentrating on the capital movements and avoiding the complexity of micro…

其他凝聚态物理 · 物理学 2009-11-10 Yan-Bo Xie , Bo Hu , Tao Zhou , Bing-Hong Wang

Using the analogy with inelastic granular gasses we introduce a model for wealth exchange in society. The dynamics is governed by a kinetic equation, which allows for self-similar solutions. The scaling function has a power-law tail, the…

统计力学 · 物理学 2008-12-02 Frantisek Slanina

We present a detailed numerical analysis of the modified version of a conservative self-organized extremal model introduced by Pianegonda et. al. for the distribution of wealth of the people in a society. Here the trading process has been…

综合金融 · 定量金融 2015-05-30 Abhijit Chakraborty , G. Mukherjee , S. S. Manna

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

In the so-called ``fair'' models of peer-to-peer wealth exchanges, economic inequality tends to reach its maximum value asymptotically. This global trend is evident as the richest continuously accumulate a larger share of wealth at the…

物理与社会 · 物理学 2023-08-22 Thiago Dias , Sebastián Gonçalves

We introduce and discuss a nonlinear kinetic equation of Boltzmann type which describes the evolution of wealth in a pure gambling process, where the entire sum of wealths of two agents is up for gambling, and randomly shared between the…

综合金融 · 定量金融 2015-05-18 Federico Bassetti , Giuseppe Toscani

One of the key socioeconomic phenomena to explain is the distribution of wealth. Bouchaud and M\'ezard have proposed an interesting model of economy [Bouchaud and M\'ezard (2000)] based on trade and investments of agents. In the mean-field…

统计金融 · 定量金融 2009-02-03 Matus Medo

Wealth distribution is a complex and critical aspect of any society. Information exchange is considered to have played a role in shaping wealth distribution patterns, but the specific dynamic mechanism is still unclear. In this research, we…

计算机视觉与模式识别 · 计算机科学 2023-04-04 Yang Shao , Hirokazu Atsumori , Tadayuki Matsumura , Kanako Esaki , Shunsuke Minusa , Hiroyuki Mizuno

An innovative method is proposed to construct a quantile dependence system for inflation and money growth. By considering all quantiles and leveraging a novel notion of quantile sensitivity, the method allows the assessment of changes in…

计量经济学 · 经济学 2023-11-20 Matteo Iacopini , Aubrey Poon , Luca Rossini , Dan Zhu

In this work the system of agents is applied to establish a model of the nonlinear distributed signal processing. The evolution of the system of the agents - by the prediction time scale diversified trend followers, has been studied for the…

统计金融 · 定量金融 2011-10-13 Tomáš Tokár , Denis Horváth , Michal Hnatich

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

物理与社会 · 物理学 2013-09-11 Taisei Kaizoji

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

混沌动力学 · 物理学 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

In this invited book chapter, we draw the reader to a brief review of the different Kinetic Exchange Models (KEMs) that have gradually developed for markets and how they can be employed to quantitatively study inequalities (the Gini Index…

物理与社会 · 物理学 2023-10-31 Sanjukta Paul , Bikas K. Chakrabarti