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Millian Efficiency with Endogenous Fertility

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Author Info
J. Ignacio Conde-Ruiz
Eduardo L. Giménez
Mikel Pérez-Nievas

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Abstract

This paper studies an extension of the notion of Pareto eciency, referred to as Millian eciency, to evaluate the performance of symmetric allocations in an overlapping generations setting with endogenous fertility. The criterium of Pareto dominance underlying the notion of Millian eciency is based exclusively on preferences of those agents who are actually born, and allows only for welfare comparisons of symmetric allocations (i.e, allocations in which all living individuals of the same generation take the same decisions). The main contributions of the paper are the following. First, we provide necessary (static) and sucient (dynamic) conditions to determine whether an allocation is Millian ecient or not, and we show that the sucient conditions for dynamic eciency oered by Cass (1972) and Balasko and Shell (1980) cannot be straightforward applied when fertility is endogenous. Second, we extend the two Fundamental Theorems of Welfare Economics to a framework with endogenous population by characterizing Millian ecient allocations as the equilibria of a decentralized price mechanism. Finally, we discuss alternative extensions of the Pareto criterium that strengthen the Millian notion.

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Paper provided by FEDEA in its series Working Papers with number 2004-13.

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  2. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November. [Downloadable!] (restricted)
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  3. 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.
  4. 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. [Downloadable!] (restricted)
  5. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  6. Cigno, Alessandro, 1992. "Children and Pensions," Journal of Population Economics, Springer, vol. 5(3), pages 175-83, August.
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  7. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. Molina-Abraldes, Antonio & Pintos-Clapes, Juan, 2003. "A complete characterization of Pareto optimality for general OLG economies," Journal of Economic Theory, Elsevier, vol. 113(2), pages 235-252, December. [Downloadable!] (restricted)
  10. Galor, Oded & Ryder, Harl E., 1991. "Dynamic efficiency of steady-state equilibria in an overlapping-generations model with productive capital," Economics Letters, Elsevier, vol. 35(4), pages 385-390, April. [Downloadable!] (restricted)
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  12. Becker, Gary S & Murphy, Kevin M, 1988. "The Family and the State," Journal of Law & Economics, University of Chicago Press, vol. 31(1), pages 1-18, April.
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  13. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June. [Downloadable!] (restricted)
  14. van Groezen, Bas & Leers, Theo & Meijdam, Lex, 2003. "Social security and endogenous fertility: pensions and child allowances as siamese twins," Journal of Public Economics, Elsevier, vol. 87(2), pages 233-251, February. [Downloadable!] (restricted)
  15. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Economic Theory, Springer, vol. 31(2), pages 307-326, May. [Downloadable!] (restricted)
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  16. Alessandro Cigno, 2003. "The Political Economy of Intergenerational Cooperation," CHILD Working Papers wp05_03, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY. [Downloadable!]
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  17. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1985. "Population Size: Individual Choice and Social Optima," The Quarterly Journal of Economics, MIT Press, vol. 100(2), pages 321-34, May. [Downloadable!] (restricted)
  18. Tjalling C. Koopmans, 1963. "On the Concept of Optimal Economic Growth," Cowles Foundation Discussion Papers 163, Cowles Foundation, Yale University. [Downloadable!]
  19. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March. [Downloadable!] (restricted)
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  20. Shell, Karl, 1971. "Notes on the Economics of Infinity," Journal of Political Economy, University of Chicago Press, vol. 79(5), pages 1002-11, Sept.-Oct. [Downloadable!] (restricted)
  21. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1982. "Population size and the social welfare functions of Bentham and Mill," Economics Letters, Elsevier, vol. 10(1-2), pages 61-64. [Downloadable!] (restricted)
  22. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-59, October. [Downloadable!] (restricted)
  23. Eckstein, Zvi & Stern, Steven & Wolpin, Kenneth I, 1988. "Fertility Choice, Land, and the Malthusian Hypothesis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 353-61, May. [Downloadable!] (restricted)
  24. Cigno, Alessandro, 1993. "Intergenerational transfers without altruism : Family, market and state," European Journal of Political Economy, Elsevier, vol. 9(4), pages 505-518, November. [Downloadable!] (restricted)
  25. 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. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Philippe Michel & Bertrand Wigniolle, 2008. "Pareto-efficiency and endogenous fertility: a simple model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00306463_v1, HAL. [Downloadable!]
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