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Efficiency with Endogenous Population Growth

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Author Info
Mikhail Golosov
Larry E. Jones
Michèle Tertilt

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Abstract

In this paper, we generalize the notion of Pareto efficiency to make it applicable to environments with endogenous populations. Two efficiency concepts are proposed: 𝒫-efficiency and 𝒜-efficiency. The two concepts differ in how they treat potential agents that are not born. We show that these concepts are closely related to the notion of Pareto efficiency when fertility is exogenous. We prove a version of the first welfare theorem for Barro-Becker type fertility choice models and discuss how this result can be generalized. Finally, we study examples of equilibrium settings in which fertility decisions are not efficient, and we classify them into settings where inefficiencies arise inside the family and settings where they arise across families. Copyright The Econometric Society 2007.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2007.00781.x
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 75 (2007)
Issue (Month): 4 (07)
Pages: 1039-1071
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Handle: RePEc:ecm:emetrp:v:75:y:2007:i:4:p:1039-1071

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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. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October. [Downloadable!] (restricted)
  2. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," NBER Working Papers 1793, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  3. Blackorby, C. & Bossert, W. & Donaldson, D., 1999. "Utilitarianism and the Theory of Justice," UBC Departmental Archives 99-20, UBC Department of Economics.
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  4. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September. [Downloadable!] (restricted)
  5. Jones, Larry E & Manuelli, Rodolfo E, 1990. "A Convex Model of Equilibrium Growth: Theory and Policy Implications," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 1008-38, October. [Downloadable!] (restricted)
  6. 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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  7. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, 09. [Downloadable!]
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  8. 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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  9. Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004. "Efficiency with Endogenous Population Growth," NBER Working Papers 10231, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  10. 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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  11. Harford, Jon D, 1998. "The Ultimate Externality," American Economic Review, American Economic Association, vol. 88(1), pages 260-65, March. [Downloadable!] (restricted)
  12. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-20, November. [Downloadable!] (restricted)
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  13. Scotchmer, Suzanne, 1997. "On price-taking equilibria in club economies with nonanonymous crowding," Journal of Public Economics, Elsevier, vol. 65(1), pages 75-88, July. [Downloadable!] (restricted)
  14. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July. [Downloadable!] (restricted)
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Cited by:
(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. Mikhail Golosov & Larry E. Jones & Michele Tertilt, 2004. "Efficiency with endogenous population growth," Working Papers 630, Federal Reserve Bank of Minneapolis. [Downloadable!]
    Other versions:
  2. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185259_v1, HAL. [Downloadable!]
    Other versions:
  3. DE LA CROIX, David & GOSSERIES, Axel, 2006. "Population policy through tradable procreation entitlements," CORE Discussion Papers 2006081, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  4. Klaus Jaeger & Wolfgang Kuhle, 2009. "The optimum growth rate for population reconsidered," Journal of Population Economics, Springer, vol. 22(1), pages 23-41, January. [Downloadable!] (restricted)
  5. Javier A. Birchenall & Rodrigo R. Soares, 2007. "Altruism, Fertility, and the Value of Children: Health Policy Evaluation and Intergenerational Welfare," IZA Discussion Papers 2783, Institute for the Study of Labor (IZA). [Downloadable!]
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  6. Alexander Ludwig & Michael Reiter, 2008. "Sharing Demographic Risk – Who is Afraid of the Baby Bust?," MEA discussion paper series 08166, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  7. 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!]
  8. Todd Schoellman & Michèle Tertilt, 2006. "Marriage Laws and Growth in Sub-Saharan Africa," American Economic Review, American Economic Association, vol. 96(2), pages 295-298, May. [Downloadable!]
  9. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, . "Millian Efficiency with Endogenous Fertility," Working Papers 2004-13, FEDEA. [Downloadable!]
  10. Michael Bar & Oksana Leukhina, . "Demographic Transition and Industrial Revolution: A Macroeconomic Investigation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics. [Downloadable!] (restricted)
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  11. DE LA CROIX, David & GOSSERIES, Axel, 2006. "Procreation, migration and tradable quotas," CORE Discussion Papers 2006098, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  12. Oguro, Kazumasa & Takahata, Junichiro, 2009. "Child Benefit and Fiscal Burden with Endogenous Fertility," MPRA Paper 15378, University Library of Munich, Germany. [Downloadable!]
  13. Gaggermeier, Christian, 2006. "Pension and children : Pareto improvement with heterogeneous preferences," IAB Discussion Paper 200603, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany]. [Downloadable!]
  14. Kazumasa, Oguro & Junichiro , Takahata & Manabu, Shimasawa, 2009. "Child Benefit and Fiscal Burden: OLG Model with Endogenous Fertility," MPRA Paper 16132, University Library of Munich, Germany. [Downloadable!]
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