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Efficiency with endogenous population growth

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Author Info
Mikhail Golosov
Larry E. Jones
Michele 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 people who 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 noncooperative 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 Federal Reserve Bank of Minneapolis in its series Working Papers with number 630.

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Date of creation: 2004
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Handle: RePEc:fip:fedmwp:630

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Keywords: Population

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  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. Robert E. Lucas, Jr., 1989. "On the Mechanics of Economic Development," NBER Reprints 1176, National Bureau of Economic Research, Inc.
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  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. 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)
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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. 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, 2008. "Pareto-efficiency and endogenous fertility: a simple model," Working Papers halshs-00306463_v1, HAL. [Downloadable!]
    Other versions:
  3. Reinhart, Carmen & Calvo, Guillermo, 1999. "Capital Flow Reversals,the Exchange Rate Debate,and Dollarization," MPRA Paper 8951, University Library of Munich, Germany. [Downloadable!]
  4. 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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  5. Alexander Ludwig & Michael Reiter, 2008. "Sharing Demographic Risk – Who is Afraid of the Baby Bust?," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
  6. David de la Croix & Axel Gosseries, 2007. "Population Policy through Tradable Procreation Entitlements," Working Papers 62, ECINEQ, Society for the Study of Economic Inequality. [Downloadable!]
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  7. 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!]
  8. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Post-Print halshs-00185259_v1, HAL. [Downloadable!]
    Other versions:
  9. Hirshleifer, David & Teoh, Siew Hong, 2001. "Herd Behavior and Cascading in Capital Markets: A Review and Synthesis," MPRA Paper 5186, University Library of Munich, Germany. [Downloadable!]
  10. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, . "Millian Efficiency with Endogenous Fertility," Working Papers 2004-13, FEDEA. [Downloadable!]
  11. 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!]
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