The Optimum Growth Rate for Population Reconsidered

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The Optimum Growth Rate for Population Reconsidered

Author Info

Klaus Jaeger ()
Wolfgang Kuhle () (Mannheim Research Institute for the Economics of Aging (MEA))

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 which 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 which leads an economy with debt to a golden rule allocation can never be optimal.

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Paper provided by Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim in its series MEA discussion paper series with number 07147.

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Date of creation: 14 Aug 2007
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Handle: RePEc:mea:meawpa:07147

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This paper has been announced in the following NEP Reports:

NEP-ALL-2007-08-18 (All new papers)
NEP-DGE-2007-08-18 (Dynamic General Equilibrium)

References listed on IDEAS
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Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467. [Downloadable!] (restricted)
Michel, Philippe & Pestieau, P, 1993. "Population Growth and Optimality: When Does Serendipity Hold?," Journal of Population Economics, Springer, vol. 6(4), pages 353-62, November.
Deardorff, Alan V, 1976. "The Optimum Growth Rate for Population: Comment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 510-15, June. [Downloadable!] (restricted)
Samuelson, Paul A, 1976. "The Optimum Growth Rate for Population: Agreement and Evaluations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 516-25, June. [Downloadable!] (restricted)
Edmund S. Phelps, 1968. "Population Increase," Canadian Journal of Economics, Canadian Economics Association, vol. 1(3), pages 497-518, August. [Downloadable!] (restricted)
Samuelson, Paul A, 1975. "Optimum Social Security in a Life-Cycle Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 539-44, October. [Downloadable!] (restricted)
David Cass & Menahem E. Yaari, 1966. "A Re-examination of the Pure Consumption Loans Model," Journal of Political Economy, University of Chicago Press, vol. 74, pages 353. [Downloadable!] (restricted)
Other versions:
- David Cass & Menahem E. Yaari, 1965. "A Re-Examination of the Pure Consumption Loans Model," Cowles Foundation Discussion Papers 195, Cowles Foundation, Yale University. [Downloadable!]
Samuelson, Paul A, 1975. "The Optimum Growth Rate for Population," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 531-38, October. [Downloadable!] (restricted)

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