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Efficiency with Endogenous Population Growth

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  • Mikhail Golosov
  • Larry E. Jones
  • Michèle Tertilt

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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  • Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
  • Handle: RePEc:ecm:emetrp:v:75:y:2007:i:4:p:1039-1071
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    File URL: http://hdl.handle.net/10.1111/j.1468-0262.2007.00781.x
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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 1002-1037, October.
    2. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    3. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    4. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1987. "Household and Economy," Elsevier Monographs, Elsevier, edition 1, number 9780125157520 edited by Shell, Karl.
    5. 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.
    6. Michele Tertilt, 2005. "Polygyny, Fertility, and Savings," Journal of Political Economy, University of Chicago Press, vol. 113(6), pages 1341-1370, December.
    7. Blackorby, Charles & Bossert, Walter & Donaldson, David, 1995. "Intertemporal Population Ethics: Critical-Level Utilitarian Principles," Econometrica, Econometric Society, vol. 63(6), pages 1303-1320, November.
    8. 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.
    9. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20, World Scientific Publishing Co. Pte. Ltd..
    10. J. Ignacio Conde-Ruiz & Eduardo L. Giménez & Mikel Pérez-Nievas, 2010. "Millian Efficiency with Endogenous Fertility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(1), pages 154-187.
    11. 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.
    12. Larry E. Jones & Rodolfo Manuelli, 1990. "A Convex Model of Equilibrium Growth," NBER Working Papers 3241, National Bureau of Economic Research, Inc.
    13. Becker, Gary S & Murphy, Kevin M, 1988. "The Family and the State," Journal of Law and Economics, University of Chicago Press, vol. 31(1), pages 1-18, April.
    14. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    15. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, September.
    16. Ehrlich, Paul R. & Ehrlich, Anne H., 2002. "Population, development, and human natures," Environment and Development Economics, Cambridge University Press, vol. 7(1), pages 158-170, February.
    17. 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.
    18. 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.
    19. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 307-326, May.
    20. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September.
    21. John Broome, 2003. "Representing an ordering when the population varies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(2), pages 243-246, March.
    22. 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 1008-1038, October.
    23. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    24. Streufert, Peter A., 1993. "Markov-perfect equilibria in intergenerational games with consistent preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 929-951.
    25. Broome, John, 2006. "Weighing Lives," OUP Catalogue, Oxford University Press, number 9780199297702.
    26. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
    27. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1987. "Population policy and individual choice: a theoretical investigation," Research reports 60, International Food Policy Research Institute (IFPRI).
    28. Partha Dasgupta, 1995. "The Population Problem: Theory and Evidence," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1879-1902, December.
    29. Assaf Razin & Efraim Sadka, 1995. "Population Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262181606, April.
    30. 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.
    31. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    32. Harford, Jon D, 1998. "The Ultimate Externality," American Economic Review, American Economic Association, vol. 88(1), pages 260-265, March.
    33. Lakshmi K. Raut, 1996. "Subgame perfect manipulation of children by overlapping generations of agents with two-sided altruism and endogenous fertility," Labor and Demography 9604003, University Library of Munich, Germany.
    34. P. S. Dasgupta, 1969. "On the Concept of Optimum Population," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 295-318.
    35. 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 531-538, October.
    36. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    JEL classification:

    • D1 - Microeconomics - - Household Behavior
    • D6 - Microeconomics - - Welfare Economics

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