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Efficiency with Endogenous Population Growth

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Author Info
Mikhail Golosov
Larry E. Jones

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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 different efficiency concepts are proposed, P-efficiency and A-efficiency. The two concepts differ in how they treat people that are not born. We show how these concepts relate to the notion of Pareto efficiency when fertility is exogenous. We then prove versions of the first welfare theorem assuming that decision making is efficient within the dynasty. Finally, we give two sets of sufficient conditions for non-cooperative equilibria of family decision problems to be efficient. These include the Barro and Becker model as a special case

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Paper provided by Society for Economic Dynamics in its series 2004 Meeting Papers with number 8.

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Date of creation: 2004
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Handle: RePEc:red:sed004:8

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Related research
Keywords: Pareto efficiency; endogenous fertility; first welfare theorem;

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Find related papers by JEL classification:
D6 - Microeconomics - - Welfare Economics
D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
J1 - Labor and Demographic Economics - - Demographic Economics

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References listed on IDEAS
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)
    Other versions:
  3. Blackorby, C. & Bossert, W. & Donaldson, D., 1999. "Utilitarianism and the Theory of Justice," UBC Departmental Archives 99-20, UBC Department of Economics.
    Other versions:
  4. 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.
    Other versions:
  5. 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!]
    Other versions:
  6. 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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  7. 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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  8. 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)
  9. 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)
  10. 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)
  11. 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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  12. Harford, Jon D, 1998. "The Ultimate Externality," American Economic Review, American Economic Association, vol. 88(1), pages 260-65, March. [Downloadable!] (restricted)
  13. 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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  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!]
    Other versions:
  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)
    Other versions:
  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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