A BEJM Topics article.

Abstract

We introduce fertility choice into an R&D-based semi-endogenous growth model so that the economy's long-run growth rate is again fully endogenously determined. The ultimate growth engine is located in the population equation of the model ("people reproduce in proportion to their number"), and R&D carries population growth forward to GDP growth. We indicate the problems stemming from the fact that in the considered class of models, population size ought to enter the utility functional multiplicatively. In particular, we show that second order optimality conditions need not hold and flow utility is required to be positive (levels of utility matter). A simplified "Barro–Becker–Jones" model which we put forward, reconciles these problems, yields a stable long-run fertility rate and thus an asymptotic BGP, and is open to further generalizations.

Submitted: January 18, 2006 · Accepted: August 16, 2006 · Published: September 28, 2006

Originally published in Topics in Macroeconomics.

Recommended Citation

Growiec, Jakub (2006) "Fertility Choice and Semi-Endogenous Growth: Where Becker Meets Jones," Topics in Macroeconomics: Vol. 6 : Iss. 2, Article 10.
Available at: http://www.bepress.com/bejm/topics/vol6/iss2/art10