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Property rights and efficiency in OLG models with endogenous fertility

  • Schoonbroodt, Alice
  • Tertilt, Michèle

Is there an economic rationale for pronatalist policies? We propose and analyze a particular market failure that leads to inefficiently low fertility in equilibrium. The friction is caused by the lack of ownership of children: if parents have no claim on their childrenʼs income, the private benefit from producing a child can be smaller than the social benefit. We analyze an overlapping-generations (OLG) model with fertility choice and parental altruism. Ownership is modeled as a minimum constraint on transfers from parents to children. Using the efficiency concepts proposed in Golosov, Jones, and Tertilt [38], we find that whenever the transfer floor is binding, fertility choices are inefficient. Second, we show that the usual conditions for efficiency are not sufficient in this context. Third, in contrast to settings with exogenous fertility, a PAYG social security system cannot be used to implement efficient allocations. To achieve an efficient outcome, government transfers need to be tied to fertility choice.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 150 (2014)
Issue (Month): C ()
Pages: 551-582

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Handle: RePEc:eee:jetheo:v:150:y:2014:i:c:p:551-582
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Alvarez, Fernando & Stokey, Nancy L., 1998. "Dynamic Programming with Homogeneous Functions," Journal of Economic Theory, Elsevier, vol. 82(1), pages 167-189, September.
  2. Larry E. Jones & Alice Schoonbroodt, 2007. "Complements versus Substitutes and Trends in Fertility Choice in Dynastic Models," NBER Working Papers 13680, National Bureau of Economic Research, Inc.
  3. Philippe Michel & Bertrand Wigniolle, 2007. "On Efficient Child Making," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00185259, HAL.
  4. Burbidge, John B, 1984. "Government Debt: Reply [Government Debt in an Overlapping-Generations Model with Bequests and Gifts]," American Economic Review, American Economic Association, vol. 74(4), pages 766-67, September.
  5. 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.
  6. Pitchford, J D, 1985. "External Effects of Population Growth," Oxford Economic Papers, Oxford University Press, vol. 37(2), pages 264-81, June.
  7. 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.
  8. Mikhail Golosov & Larry E Jones & Michèle Tertilt, 2003. "Effciency with Endogenous Population Growth," Levine's Working Paper Archive 666156000000000310, David K. Levine.
  9. David DE LA CROIX & Matthias DOEPKE, 2002. "Public versus Private Education When Diferential Fertility Matters," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2002013, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  10. Cigno, Alessandro, 1992. "Children and Pensions," Journal of Population Economics, Springer, vol. 5(3), pages 175-83, August.
  11. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
  12. Pazner, Elisha A. & Razin, Assaf, 1980. "Competitive efficiency in an overlapping-generation model with endogenous population," Journal of Public Economics, Elsevier, vol. 13(2), pages 249-258, April.
  13. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1984. "Bequests and the Size of Population When Population Is Endogenous," Journal of Political Economy, University of Chicago Press, vol. 92(3), pages 527-31, June.
  14. Boldrin, Michele & Montes, Ana, 2002. "The Intergenerational State: Education and Pensions," CEPR Discussion Papers 3275, C.E.P.R. Discussion Papers.
  15. Michele Boldrin & Mariacristina De Nardi & Larry E. Jones, 2005. "Fertility and Social Security," Staff Report 359, Federal Reserve Bank of Minneapolis.
  16. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
  17. Barro, Robert J., 1974. "Are Government Bonds Net Wealth?," Scholarly Articles 3451399, Harvard University Department of Economics.
  18. S. Rao Aiyagari & Jeremy Greenwood & Ananth Seshadri, 1999. "Efficient investment in children," Discussion Paper / Institute for Empirical Macroeconomics 132, Federal Reserve Bank of Minneapolis.
  19. Burbidge, John B, 1983. "Government Debt in an Overlapping-Generations Model with Bequests and Gifts," American Economic Review, American Economic Association, vol. 73(1), pages 222-27, March.
  20. Razin, Assaf & Ben-Zion, Uri, 1975. "An Intergenerational Model of Population Growth," American Economic Review, American Economic Association, vol. 65(5), pages 923-33, December.
  21. Philippe Michel & Bertrand Wigniolle, 2009. "Pareto-Efficiency and Endogenous Fertility: A Simple Model," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(1), pages 36-59.
  22. G. Abío & Geraldine Mahieu & Cio Patxot, 2003. "On the Optimality of PAYG Pension Systems in an Endogenous Fertility Setting," CESifo Working Paper Series 1050, CESifo Group Munich.
  23. Schoonbroodt, Alice & Tertilt, Michèle, 2010. "Who Owns Children and Does it Matter?," CEPR Discussion Papers 7653, C.E.P.R. Discussion Papers.
  24. Edward P. Lazear, 1976. "Intergenerational Externalities," NBER Working Papers 0145, National Bureau of Economic Research, Inc.
  25. repec:hal:journl:halshs-00306463 is not listed on IDEAS
  26. Gary S. Becker & Kevin M. Murphy, . "The Family and the State," University of Chicago - Population Research Center 87-15, Chicago - Population Research Center.
  27. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
  28. Cigno, Alessandro, 1983. "Corrigendum [On Optimal Family Allowances]," Oxford Economic Papers, Oxford University Press, vol. 35(2), pages 329, July.
  29. repec:hal:journl:halshs-00185259 is not listed on IDEAS
  30. Abel, Andrew B, 1987. "Operative Gift and Bequest Motives," American Economic Review, American Economic Association, vol. 77(5), pages 1037-47, December.
  31. Neil Bruce & Michael Waldman, 1986. "The Rotten-Kid Theorem Meets the Samaritan's Dilemma," Working Papers 650, Queen's University, Department of Economics.
  32. David de la Croix & Axel Gosseries, 2007. "Population Policy through Tradable Procreation Entitlements," Working Papers 62, ECINEQ, Society for the Study of Economic Inequality.
  33. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
  34. 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.
  35. Marc Nerlove & Assaf Razin & Efraim Sadka, 1985. "Population Size: Individual Choice and Social Optima," The Quarterly Journal of Economics, Oxford University Press, vol. 100(2), pages 321-334.
  36. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1986. "Assessing Dynamic Efficiency: Theory and Evidence," NBER Working Papers 2097, National Bureau of Economic Research, Inc.
  37. Gary S. Becker, 1960. "An Economic Analysis of Fertility," NBER Chapters, in: Demographic and Economic Change in Developed Countries, pages 209-240 National Bureau of Economic Research, Inc.
  38. Raquel Fernández & Richard Rogerson, 2001. "Sorting and Long-Run Inequality," The Quarterly Journal of Economics, Oxford University Press, vol. 116(4), pages 1305-1341.
  39. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  40. Cigno, Alessandro, 1983. "On Optimal Family Allowances," Oxford Economic Papers, Oxford University Press, vol. 35(1), pages 13-22, March.
  41. Harford, Jon D, 1998. "The Ultimate Externality," American Economic Review, American Economic Association, vol. 88(1), pages 260-65, March.
  42. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 1-25.
  43. Nerlove, Marc & Razin, Assaf & Sadka, Efraim, 1986. "Endogenous Population with Public Goods and Malthusian Fixed Resources: Efficiency or Market Failure," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 601-09, October.
  44. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690, June.
  45. Zeng, J & Jie Zhang, . "Optimal social security in a dynastic model with investment externalities and endogenous fertility," MRG Discussion Paper Series 1006, School of Economics, University of Queensland, Australia.
  46. Drazen, Allan, 1978. "Government Debt, Human Capital, and Bequests in a Life-Cycle Model," Journal of Political Economy, University of Chicago Press, vol. 86(3), pages 505-16, June.
  47. Carmichael, Jeffrey, 1982. "On Barro's Theorem of Debt Neutrality: The Irrelevance of Net Wealth," American Economic Review, American Economic Association, vol. 72(1), pages 202-13, March.
  48. Cigno, Alessandro, 1986. "Fertility and the Tax-Benefit System: A Reconsideration of the Theory of Family Taxation," Economic Journal, Royal Economic Society, vol. 96(384), pages 1035-51, December.
  49. Günther Lang, 2005. "Endogenous fertility and modified Pareto-optimality," Portuguese Economic Journal, Springer, vol. 4(3), pages 171-191, December.
  50. John Laitner, 1988. "Bequests, Gifts, and Social Security," Review of Economic Studies, Oxford University Press, vol. 55(2), pages 275-299.
  51. C. Simon Fan & Oded Stark, 2008. "Looking At The "Population Problem" Through The Prism Of Heterogeneity: Welfare And Policy Analyses," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(3), pages 799-835, 08.
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