title: Wealth distribution and collective knowledge: a Boltzmann approach.
abstract: 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 the binary trades, an equation first introduced by Cordier et al. (2005 J. Stat. Phys. 120, 253-277 (doi:10.1007/S10955-005-5456-0)). The trades, which include both saving propensity and the risks of the market, are here modified in the risk and saving parameters, which now are assumed to depend on the personal degree of knowledge. The numerical simulations show that the presence of knowledge has the potential to produce a class of wealthy agents and to account for a larger proportion of wealth inequality.
authors.affiliation: Department of Mathematics and Computer Science, University of Ferrara, via Machiavelli 35, 44100 Ferrara, Italy.
authors.forename: L
authors.identifier: http://orcid.org/0000-0002-8706-6939
authors.initials: L
authors.lastname: Pareschi
authors.affiliation: Department of Mathematics, University of Pavia, via Ferrata 1, 27100 Pavia, Italy giuseppe.toscani@unipv.it.
authors.forename: G
authors.identifier: http://orcid.org/0000-0003-4419-804X
authors.initials: G
authors.lastname: Toscani
keywords: Boltzmann equation; collective knowledge; multi-agent systems; wealth distribution