Boucekkine, RaoufMartínez Gonzalo, BlancaRuiz Tamarit, J. Ramón2023-06-182023-06-182017https://hdl.handle.net/20.500.14352/22969Capítulo 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, ChamThis 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.engtechnical reporthttps://doi.org/10.1007/978-3-319-75169-6_16open accessC61C62J1O41Optimal population sizePopulation ethicsOptimal growthEndogenous discountingOptimal demographic transitionsOptimización matemáticaDemografía (Sociología)Desarrollo económico52 Demografía5307.03 Modelos y Teorías del desarrollo Económico5307.04 Estudios del desarrollo Económico