This Colloquium reviews statistical models for money, wealth, and income distributions
developed in the econophysics literature since the late 1990s. By analogy with the …

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 …

The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

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 …

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 …

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 …

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 …

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 …

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 …

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 …