RT Report
T1 Optimal population growth as an endogenous discounting problem: The Ramsey case
A1 Boucekkine, Raouf
A1 Martínez Gonzalo, Blanca
A1 Ruiz Tamarit, J. Ramón
AB This paper revisits the optimal population size problem in a continuous time Ramsey setting with costly child rearing and both intergenerational and intertemporal altruism. The social welfare functions considered range from the Millian to the Benthamite. When population growth is endogenized, the associated optimal control problem involves an endogenous effective discount rate depending on past and current population growth rates, which makes preferences intertemporally dependent. We tackle this problem by using an appropriate maximum principle. Then we study the stationary solutions (balanced growth paths) and show the existence of two admissible solutions except in the Millian case. We prove that only one is optimal. Comparative statics and transitional dynamics are numerically derived in the general case.
PB Aix-Marseille School of Economics, France
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/22969
UL https://hdl.handle.net/20.500.14352/22969
LA eng
NO Capítulo de libro:Boucekkine R., Martínez B., Ruiz-Tamarit J.R. (2018) Optimal Population Growth as an Endogenous Discounting Problem: The Ramsey Case. In: Feichtinger G., Kovacevic R., Tragler G. (eds) Control Systems and Mathematical Methods in Economics. Lecture Notes in Economics and Mathematical Systems, vol 687. Springer, Cham
NO Ministerio de Ciencia e Innovación (MICINN)
NO Ministerio de Economía, Industria y Competitividad (MINECO)
DS Docta Complutense
RD 6 abr 2025