Colloquium: Statistical mechanics of money, wealth, and income
This Colloquium reviews statistical models for money, wealth, and income distributions
developed in the econophysics literature since the late 1990s. By analogy with the …
developed in the econophysics literature since the late 1990s. By analogy with the …
Econophysics review: II. Agent-based models
This article is the second part of a review of recent empirical and theoretical developments
usually grouped under the heading Econophysics. In the first part, we reviewed the statistical …
usually grouped under the heading Econophysics. In the first part, we reviewed the statistical …
[BOOK][B] Econophysics of income and wealth distributions
The distribution of wealth and income is never uniform, and philosophers and economists
have tried for years to understand the reasons and formulate remedies for such inequalities …
have tried for years to understand the reasons and formulate remedies for such inequalities …
Fokker–Planck equations in the modeling of socio-economic phenomena
G Furioli, A Pulvirenti, E Terraneo… - Mathematical Models and …, 2017 - World Scientific
We present and discuss various one-dimensional linear Fokker–Planck-type equations that
have been recently considered in connection with the study of interacting multi-agent …
have been recently considered in connection with the study of interacting multi-agent …
Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders
We propose a mathematical model for opinion formation in a society that is built of two
groups, one group of 'ordinary'people and one group of 'strong opinion leaders'. Our …
groups, one group of 'ordinary'people and one group of 'strong opinion leaders'. Our …
Human behavior and lognormal distribution. A kinetic description
In recent years, it has been increasing evidence that lognormal distributions are widespread
in physical and biological sciences, as well as in various phenomena of economics and …
in physical and biological sciences, as well as in various phenomena of economics and …
Sparse stabilization and control of alignment models
Starting with the seminal papers of Reynolds (1987), Vicsek et al.(1995), Cucker–Smale
(2007), there has been a lot of recent works on models of self-alignment and consensus …
(2007), there has been a lot of recent works on models of self-alignment and consensus …
Sparse stabilization and optimal control of the Cucker-Smale model
This article is mainly based on the work [7], and it is dedicated to the 60th anniversary of B.
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …
Bonnard, held in Dijon in June 2012. We focus on a controlled Cucker--Smale model in finite …
Wealth distribution and collective knowledge: a Boltzmann approach
We introduce and discuss a nonlinear kinetic equation of Boltzmann type that describes the
influence of knowledge in the evolution of wealth in a system of agents that interact through …
influence of knowledge in the evolution of wealth in a system of agents that interact through …
Uniform propagation of chaos for a dollar exchange econophysics model
We study the poor-biased model for money exchange introduced in Cao & Motsch ((2023)
Kinet. Relat. Models 16 (5), 764–794.): agents are being randomly picked at a rate …
Kinet. Relat. Models 16 (5), 764–794.): agents are being randomly picked at a rate …