Abstract
This article gives exact general conditions for the existence of an interior optimum growth rate for population in the neoclassical two-generations-overlapping model. In an economy where high (low) growth rates of population lead to a growth path that is efficient (inefficient), there always exists an interior optimum growth rate for population. In all other cases, there exists no interior optimum. The Serendipity Theorem, however, does, in general, not hold in an economy with government debt. Moreover, the growth rate for population that leads an economy with debt to a golden rule allocation can never be optimal.
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References
Abio G, Mahieu C, Paxtot C (2004) On the optimality of payg pension systems in an endogenous fertility setting. J Pension Econ Finance 3(1):35–62
Cass D, Yaari ME (1966) A re-examination of the pure consumption loans model. J Polit Econ 74(4):353–367
Cigno A, Luporini A (2006) Optimal policy towards families with different amounts of social capital, in the presence of asymmetric information and stochastic fertility. CESifo Working Paper (1664), pp 1–28
Deardorff AV (1976) The optimum growth rate for population: comment. Int Econ Rev 17(2):510–515
De La Croix D, Michel P (2002) A theory of economic growth. Cambridge University Press, Cambridge
Diamond PA (1965) National debt in a neoclassical growth model. Am Econ Rev 55(5):1126–1150
Golosov M, Jones L, Tertilt M (2007) Efficiency with endogenous population growth. Econometrica 75(4):1039–1072
Jaeger K (1989) The serendipity theorem reconsidered: the three-generations case without inheritance. In: Zimmermann KF (ed) Economic theory of optimal population. Springer, Berlin Hedelberg New York, pp 75–87
Marquetti AA (2004) Extended penn world tables 2.1. http://homepage.newschool.edu/~foleyd/epwt. Accessed 12 Oct 2006
Michel P, Pestieau P (1993) Population growth and optimality: when does serendipity hold. J Popul Econ 6(4):353–362
Persson T, Tabellini G (2000) Political economics. MIT, Cambridge
Phelps E (1967) The golden rule of procreation. In: Phelps E (ed) Golden rules of economic growth. Norton, New York, pp 176–183
Phelps E (1968) Population increase. Can J Econ 1(3):497–518
Samuelson PA (1958) An exact consumption-loan model of interest with or without the social contrivance of money. J Polit Econ 66(6):467–482
Samuelson PA (1975a) The optimum growth rate for population. Int Econ Rev 16(3):531–538
Samuelson PA (1975b) Optimum social security in a life-cycle growth model. Int Econ Rev 16(3):539–544
Samuelson PA (1976) The optimum growth rate for population: agreement and evaluations. Int Econ Rev 17(2):516–525
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Jaeger, K., Kuhle, W. The optimum growth rate for population reconsidered. J Popul Econ 22, 23–41 (2009). https://doi.org/10.1007/s00148-007-0184-1
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DOI: https://doi.org/10.1007/s00148-007-0184-1