English

Boltzmann legacy and wealth distribution

Statistical Mechanics 2010-05-28 v1 Physics and Society General Finance

Abstract

We briefly review results on nonlinear kinetic equation of Boltzmann type which describe the evolution of wealth in a simple agents market. The mathematical structure of the underlying kinetic equations allows to use well-known techniques of wide use in kinetic theory of rarefied gases to obtain information on the process of relaxation to a stationary profile, as well as to identify simple interaction rules which are responsible of the formation of Pareto tails.

Keywords

Cite

@article{arxiv.1005.5006,
  title  = {Boltzmann legacy and wealth distribution},
  author = {Giuseppe Toscani},
  journal= {arXiv preprint arXiv:1005.5006},
  year   = {2010}
}
R2 v1 2026-06-21T15:28:31.013Z