**5. Conclusions**

In this chapter, we have revisited, also discussing a novel application of it, a mathematical "micro-to-macro" model suitable for the study of the aggregate formation of the income distribution in a closed market society out of a whole of economic interactions including taxation and redistribution. The model, originally proposed by Bertotti in [8], was further developed and analysed in various papers by Bertotti et al. [9–13]. We have shown that it can be adapted to analyse issues related to economic inequality. In particular, the model identifies in redistributive policy a driver towards economic inequality reduction. The theme is complex and requires a broad spectrum of skills, knowledge, real data, ideas. The model encompasses (as is inevitable) great simplifications and probably a naive approach, and cannot offer magical solutions to the problems it addresses. Nonetheless, thanks to the considerable flexibility it enjoys and to its ability to make predictions in the presence of different conditions and policies, it could hopefully contribute to providing some insight towards forecasting of possible outcomes and behaviours, in this way serving as an inspiration and source of suggestions for policy-makers.
