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Pareto-efficiency and endogenous fertility: a simple model

  • 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, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics)

This article is devoted to the study of the Pareto-efficiency of the competitive equilibrium for a simple overlapping generations economy with endogenous fertility. For CES utility and production functions, it is proved that the economic properties of the economy are closely related to the two elasticitiesof substitution. First, the competitive equilibrium exists and is unique if the sum of the two elasticities is not smaller than one. Secondly, a set of parameters is provided such that the equilibrium is both in under-accumulation and inefficient. Thirdly, a sufficient condition is proved that ensures that an equilibrium converging in under-accumulation is Pareto-efficient: the sum of the two elasticities must not be greater than two.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00306463.

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Date of creation: Jan 2009
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Handle: RePEc:hal:cesptp:halshs-00306463
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  1. Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004. "Efficiency with Endogenous Population Growth," NBER Working Papers 10231, National Bureau of Economic Research, Inc.
  2. Birdsall, Nancy, 1988. "Economic approaches to population growth," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 1, chapter 12, pages 477-542 Elsevier.
  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. MICHEL, Philippe & PESTIEAU, Pierre, . "Population growth and optimality. When does serendipity hold?," CORE Discussion Papers RP 1072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Economic Theory, Springer, vol. 31(2), pages 307-326, May.
  6. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240 National Bureau of Economic Research, Inc.
  7. Jeremy Greenwood & Ananth Seshadri & Guillaume Vandenbroucke, 2005. "The Baby Boom and Baby Bust," American Economic Review, American Economic Association, vol. 95(1), pages 183-207, March.
  8. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  9. Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-33, December.
  10. repec:fda:fdaddt:2004-13 is not listed on IDEAS
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