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This paper develops a Pareto scale-inflated outlier model. This model is intended for use when data from some standard Pareto distribution of interest is suspected to have been contaminated with a relatively small number of outliers from a…

统计方法学 · 统计学 2016-11-03 David P. M. Scollnik

We introduce a highly stylized, yet non trivial model of the economy, with a public and private sector coupled through a wealth tax and a redistribution policy. The model can be fully solved analytically, and allows one to address the…

经济学 · 定量金融 2015-12-09 Jean-Philippe Bouchaud

Aiming to describe the wealth distribution evolution, several models consider an ensemble of interacting economic agents that exchange wealth in binary fashion. Intriguingly, models that consider an unbiased market, that gives to each agent…

综合金融 · 定量金融 2021-06-30 Ben-Hur Francisco Cardoso , Sebastián Gonçalves , José Roberto Iglesias

We investigate a kinetic Ising model with several single-spin flip dynamics (including Metropolis and heat-bath) on quenched and annealed random regular graphs. As expected, on the quenched structures all proposed algorithms reproduce the…

统计力学 · 物理学 2017-07-26 Arkadiusz Jędrzejewski , Anna Chmiel , Katarzyna Sznajd-Weron

Wealth inequality is an important matter for economic theory and policy. Ongoing debates have been discussing recent rise in wealth inequality in connection with recent development of active financial markets around the world. Existing…

综合金融 · 定量金融 2021-09-27 Yuri Biondi , Stefano Olla

The statistical mechanics approach to wealth distribution is based on the conservative kinetic multi-agent model for money exchange, where the local interaction rule between the agents is analogous to the elastic particle scattering…

综合金融 · 定量金融 2016-06-16 M. Andrecut

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

物理与社会 · 物理学 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

In this work we consider an agent based model in order to study the wealth distribution problem where the interchange is determined with a symmetric zero sum game. Simultaneously, the agents update their way of play trying to learn the…

物理与社会 · 物理学 2017-09-12 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting in a game theoretical framework, through fairly general…

综合金融 · 定量金融 2015-06-16 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

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

In [1] we presented a model for transactions when goods are given away in the expectation of a later settlement. In settings where people keep track of their social accounts we were able to redefine concepts like account balance, yield…

综合金融 · 定量金融 2014-11-10 W. P. Weijland

It is argued that there is a need for fat-tailed distributions that become thin in the extreme tail. A 3-parameter distribution is introduced that visually resembles the t-distribution and interpolates between the normal distribution and…

统计理论 · 数学 2022-02-08 Rose D Baker

We present a novel reshuffling exchange model and investigate its long time behavior. In this model, two individuals are picked randomly, and their wealth $X_i$ and $X_j$ are redistributed by flipping a sequence of fair coins leading to a…

概率论 · 数学 2023-01-02 Fei Cao , Nicholas F. Marshall

Under conditions of market equilibrium, the distribution of capital income follows a Pareto power law, with an exponent that characterizes the given equilibrium. Here, a simple taxation scheme is proposed such that the post-tax capital…

经济学 · 定量金融 2018-03-14 Jacques Tempere

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

综合金融 · 定量金融 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

We consider Coulomb gas models for which the empirical measure typically concentrates, when the number of particles becomes large, on an equilibrium measure minimizing an electrostatic energy. We study the behavior when the gas is…

概率论 · 数学 2021-01-25 Djalil Chafaï , Grégoire Ferré , Gabriel Stoltz

We consider a Lattice Gas model in which the sites interact via infinite-ranged random couplings independently distributed with a Gaussian probability density. This is the Lattice Gas analogue of the well known Sherrington-Kirkpatrick Ising…

统计力学 · 物理学 2009-10-30 Francesco M. Russo

In a financial market model, we consider variations of the problem of minimizing the expected time to upcross a certain wealth level. For exponential Levy markets, we show the asymptotic optimality of the growth-optimal portfolio for the…

投资组合管理 · 定量金融 2009-04-14 Constantinos Kardaras , Eckhard Platen

This work continues the one commenced in a previous one, where the key idea is that individual stances on a social matter can be modeled as positions of particles in physics. Here, we explore the aggregation of individual behavior as a…

物理与社会 · 物理学 2025-08-20 VS Morales-Salgado

Empirical distributions of wealth and income can be reproduced using simplified agent-based models of economic interactions, analogous to microscopic collisions of gas particles. Building upon these models of freely interacting agents, we…

物理与社会 · 物理学 2020-03-10 Lennart Fernandes , Jacques Tempere
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