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On Efficient Child Making

  • Philippe Michel

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - Université Paul Cézanne - Aix-Marseille 3 - Université de la Méditerranée - Aix-Marseille 2 - EHESS - École des hautes études en sciences sociales - CNRS - AMU - Aix-Marseille Université)

  • Bertrand Wigniolle

    ()

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS)

This paper is devoted to the study of the Pareto-efficiency of the competitive equilibrium for an overlapping generations economy with endogenous fertility. Pareto-efficiency needs a reformulation when fertility is endogenous. Then it is proved that a competitive equilibrium that converges in over-accumulation is non-Pareto-efficient. However, we provide an example in which a competitive equilibrium that converges in under-accumulation is non-Pareto-efficient. Finally, we give a general condition that ensures the Pareto-efficiency of the competitive equilibrium.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00185259.

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Date of creation: May 2007
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Handle: RePEc:hal:cesptp:halshs-00185259
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  1. George B. Roberts, Chairman, Universities-National Bureau Committee for Economic Research, 1960. "Demographic and Economic Change in Developed Countries," NBER Books, National Bureau of Economic Research, Inc, number univ60-2.
  2. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
  3. Willis, Robert J, 1973. "A New Approach to the Economic Theory of Fertility Behavior," Journal of Political Economy, University of Chicago Press, vol. 81(2), pages S14-64, Part II, .
  4. Nishimura, K. & Zhang, J., 1990. "Pay-As-You-Go Public Pensions With Endogenous Fertility," Papers 202, Australian National University - Department of Economics.
  5. Mikhail Golosov & Larry E. Jones, 2004. "Efficiency with Endogenous Population Growth," 2004 Meeting Papers 8, Society for Economic Dynamics.
  6. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-23, May.
  7. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer, vol. 13(2), pages 393-416.
  8. Shone,Ronald, 2002. "Economic Dynamics," Cambridge Books, Cambridge University Press, number 9780521017039.
  9. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer, vol. 4(5), pages 777-90, August.
  10. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
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