Colloquium: Statistical mechanics of money, wealth, and income

VM Yakovenko, JB Rosser Jr - Reviews of modern physics, 2009‏ - APS
This Colloquium reviews statistical models for money, wealth, and income distributions
developed in the econophysics literature since the late 1990s. By analogy with the …

Econophysics review: II. Agent-based models

A Chakraborti, IM Toke, M Patriarca… - Quantitative …, 2011‏ - Taylor & Francis
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 …

[ספר][B] Interacting multiagent systems: kinetic equations and Monte Carlo methods

L Pareschi, G Toscani - 2013‏ - books.google.com
The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

Mean field games and applications

A Cousin, S Crépey, O Guéant, D Hobson… - Paris-Princeton lectures …, 2011‏ - Springer
This text is inspired from a “Cours Bachelier” held in January 2009 and taught by Jean-
Michel Lasry. This course was based upon the articles of the three authors and upon …

Numerical methods for kinetic equations

G Dimarco, L Pareschi - Acta Numerica, 2014‏ - cambridge.org
In this survey we consider the development and mathematical analysis of numerical
methods for kinetic partial differential equations. Kinetic equations represent a way of …

Kinetic models of opinion formation

G Toscani - 2006‏ - projecteuclid.org
We introduce and discuss certain kinetic models of (continuous) opinion formation involving
both exchange of opinion between individual agents and diffusion of information. We show …

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 …

[ספר][B] Econophysics of income and wealth distributions

BK Chakrabarti, A Chakraborti, SR Chakravarty… - 2013‏ - books.google.com
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 …

Kinetic models for epidemic dynamics with social heterogeneity

G Dimarco, B Perthame, G Toscani… - Journal of Mathematical …, 2021‏ - Springer
We introduce a mathematical description of the impact of the number of daily contacts in the
spread of infectious diseases by integrating an epidemiological dynamics with a kinetic …

Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

GA Marsan, N Bellomo, L Gibelli - Mathematical Models and …, 2016‏ - World Scientific
This paper proposes a systems approach to social sciences based on a mathematical
framework derived from a generalization of the mathematical kinetic theory and of theoretical …