Work

Particle system approach to wealth redistribution

Year: 2018
Type: preprint
Abstract: We study a stochastic $N$-particle system representing economic agents in a population randomly exchanging their money, which is associated to a class of one-dimensional kinetic equations modelling the evolution of the distribution of wealth in a simple market economy, introduced by Matthes and Toscani \cite{matthes-toscani2008}. We show that, unless the economic exchanges satisfy some exact conservation condition, the $p$-moments of the particles diverge with time for all $p>1$, and converge to 0 for $0
Language: English
Open Access status: green
OpenAlex ID: W2891769835
Cites: 18
Cited by: 2
Related to: 20