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Interiority of the Optimal Population Growth Rate with Endogenous Fertility

  • Gemma Abio Roig

    (Universitat de Barcelona)

This paper analyzes the issue of the interiority of the optimal population growth rate in a two-period overlapping generations model with endogenous fertility. Using Cobb-Douglas utility and production functions, we show that the introduction of a cost of raising children allows for the possibility of the existence of an interior global maximum in the planners problem, contrary to the exogenous fertility case.

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Paper provided by Universitat de Barcelona. Espai de Recerca en Economia in its series Working Papers in Economics with number 96.

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Length: 27 pages
Date of creation: 2003
Date of revision:
Handle: RePEc:bar:bedcje:200396
Contact details of provider: Postal: Espai de Recerca en Economia, Facultat de Ciències Econòmiques. Tinent Coronel Valenzuela, Num 1-11 08034 Barcelona. Spain.
Web page: http://www.ere.ub.es
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  1. Sinn, Hans-Werner, 1997. "The Value of Children and Immigrants in a Pay-As-You-Go Pension System: A Proposal For a Partial Transition to a Funded System," CEPR Discussion Papers 1734, C.E.P.R. Discussion Papers.
  2. 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.
  3. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  4. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer, vol. 12(4), pages 625-640.
  5. 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.
  6. Rosati, Furio Camillo, 1996. "Social security in a non-altruistic model with uncertainty and endogenous fertility," Journal of Public Economics, Elsevier, vol. 60(2), pages 283-294, May.
  7. Abio, G. & Patxot, C., 2001. "Optimal population growth and social security reform with heterogeneous agents," CORE Discussion Papers 2001027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  9. 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.
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