Wealth redistribution in boltzmann-like models of conservative economies

Abstract

One of the goals of Boltzmann-like models for wealth distribution in conservative economies is to predict the stationary distribution of wealth in terms of the microscopic trade interactions. In a recent paper [1], a kinetic model for wealth distribution able to reproduce the salient features of this stationary curve by including taxation and redistribution has been introduced and discussed. This continuous model represents the natural extension of some recent researches [11, 12, 15, 18], in which discrete simplified models for the exploitation of finite resources by interacting agents, where each agent receives a random fraction of the available resources, have been considered. Here we show that a simple modification of the kinetic model introduced in [1] can be studied numerically to quantify the effect of various taxation regimes.