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Effciency with Endogenous Population Growth

  • Mikhail Golosov
  • Larry E Jones
  • Michèle Tertilt

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 David K. Levine in its series Levine's Working Paper Archive with number 666156000000000310.

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Date of creation: 22 Oct 2003
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Handle: RePEc:cla:levarc:666156000000000310
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  1. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185259, HAL.
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  4. 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.
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  6. Fernando Alvarez, 1999. "Social Mobility: The Barro-Becker Children Meet the Laitner-Loury Dynasties," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(1), pages 65-103, January.
  7. Mikhail Golosov & Larry E. Jones, 2004. "Efficiency with Endogenous Population Growth," 2004 Meeting Papers 8, Society for Economic Dynamics.
  8. 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.
  9. Michele Tertilt, 2005. "Polygyny, Fertility, and Savings," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1341-1370, December.
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  17. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-20, November.
  18. Dasgupta, Partha S, 1969. "On the Concept of Optimum Population," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 295-318, July.
  19. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  20. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, 2010. "Millian Efficiency with Endogenous Fertility," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 154-187.
  21. Partha Dasgupta, 1995. "The Population Problem: Theory and Evidence," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1879-1902, December.
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  24. Blackorby, Charles & Bossert, Walter & Donaldson, David, 2002. "Utilitarianism and the theory of justice," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 11, pages 543-596 Elsevier.
  25. Fudenberg, Drew & Levine, David, 1983. "Subgame-perfect equilibria of finite- and infinite-horizon games," Journal of Economic Theory, Elsevier, vol. 31(2), pages 251-268, December.
  26. Nerlove, Marc & Raut, Lakshmi K., 1993. "Growth models with endogenous population: A general framework," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 20, pages 1117-1174 Elsevier.
  27. Barro, R.J. & Becker, G.S., 1988. "Fertility Choice In A Model Of Economic Growth," University of Chicago - Economics Research Center 88-8, Chicago - Economics Research Center.
  28. Raut, L. K., 1990. "Capital accumulation, income distribution and endogenous fertility in an overlapping generations general equilibrium model," Journal of Development Economics, Elsevier, vol. 34(1-2), pages 123-150, November.
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