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On the Optimality of PAYG Pension Systems in an Endogenous Fertility Setting

  • G. ABIO

    (Universitat de Barcelona)

  • Géraldine MAHIEU

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

  • C. Patxot

    (Universitat de Barcelona)

In order to help in designing an accurate pension reform, we determine the optimal resource allocation in an endogenous fertility model generating a demographic transition. Extending Samuelson’s (1975) work in such a setting, we analyze the problem of the interiority of the optimal solution and discuss the serendipity theorem. We then characterize the decentralization of the first best, showing that a pension policy linking pension benefits to the number of children constitutes an optimal social security program able to restore both the optimal capital stock and the optimal rate of pupulation growth as a unique instrument. We also show that neither a Beveridgean pension scheme nor a Bismarckian one can decentralize the first best.

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Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2002006.

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Length: 35
Date of creation: 01 Feb 2002
Date of revision:
Handle: RePEc:ctl:louvir:2002006
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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. Galor, Oded & Weil, David, 1998. "Population, Technology and Growth: From the Malthusian Regime to the Demographic Transition," CEPR Discussion Papers 1981, C.E.P.R. Discussion Papers.
  3. 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.
  4. Becker, Gary S & Murphy, Kevin M & Tamura, Robert, 1990. "Human Capital, Fertility, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages S12-37, October.
  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. Martin Kolmar, 1997. "Intergenerational redistribution in a small open economy with endogenous fertility," Journal of Population Economics, Springer, vol. 10(3), pages 335-356.
  7. Cigno, Alessandro, 1993. "Intergenerational transfers without altruism : Family, market and state," European Journal of Political Economy, Elsevier, vol. 9(4), pages 505-518, November.
  8. Schweizer, Urs, 1996. "Endogenous fertility and the Henry George Theorem," Journal of Public Economics, Elsevier, vol. 61(2), pages 209-228, August.
  9. Atkinson, A B & Sandmo, A, 1980. "Welfare Implications of the Taxation of Savings," Economic Journal, Royal Economic Society, vol. 90(359), pages 529-49, September.
  10. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  11. repec:cup:cbooks:9780521001151 is not listed on IDEAS
  12. Kolmar, Martin, 2001. " Optimal Intergenerational Redistribution in a Two-Country Model with Endogenous Fertility," Public Choice, Springer, vol. 106(1-2), pages 23-51, January.
  13. Galor, Oded & Weil, David N, 1996. "The Gender Gap, Fertility, and Growth," American Economic Review, American Economic Association, vol. 86(3), pages 374-87, June.
  14. 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.
  15. 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.
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