The dynamics of wealth inequality under endogenous fertility: A remark on the Barro-Becker model with heterogenous endowments

Stefano Bosi (University of Evry Paris-Saclay) & Raouf Boucekkine & Thomas Seegmuller (CNRS and GREQAM)

 

Implicit in the seminal contribution of Barro-Becker [1], the lack of persistence of inequality in the pre- sence of endogenous fertility is one of the most striking features of the models à la Barro-Becker. In this pedagogical note, we show how to uncover and interpret the latter property using standard optimization in contrast to the dynamic programming under homogeneity usually invoked in this literature.