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Interiority of the Optimal Population Growth Rate with Endogenous Fertility

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  • Gemma Abio Roig

    (Universitat de Barcelona)

Abstract

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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Bibliographic Info

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

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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. 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.
  2. 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).
  3. 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.
  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. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  6. 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.
  7. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  8. 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.
  9. 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.
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Cited by:
  1. PESTIEAU, Pierre & PONTHIERE, Grégory, 2011. "Optimal fertility along the lifecycle," CORE Discussion Papers 2011033, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. David de la CROIX & Pierre PESTIEAU & Gregory PONTHIERE, 2009. "How Powerful is Demography? The Serendipity Theorem Revisited," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2009040, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  3. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
  4. repec:hal:wpaper:hal-00612609 is not listed on IDEAS

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