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Overlapping generations models with realistic demography

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  • Antoine Bommier
  • Ronald D. Lee

Abstract

This paper revisits the literature on overlapping generations models in the demographic context of a continuous age distribution and a general age schedule of mortality. We show that most of the static results known for the 3 or N age-group models can be extended to the continuous model. Some results, previously established for economies without capital, are extended to productive economies. We also make some progress on the existence of some steady states as well as on the dynamic properties. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Antoine Bommier & Ronald D. Lee, 2003. "Overlapping generations models with realistic demography," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 135-160, February.
    • Handle: RePEc:spr:jopoec:v:16:y:2003:i:1:p:135-160
    DOI: 10.1007/s001480100102
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    1. Oded Galor & Harl E. Ryder, 1988. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Working Papers 1988-07, Brown University, Department of Economics.
    2. Feldstein, Martin, 1996. "The Missing Piece in Policy Analysis: Social Security Reform," American Economic Review, American Economic Association, vol. 86(2), pages 1-14, May.
    3. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. II. The case of pure exchange with money," Journal of Economic Theory, Elsevier, vol. 24(1), pages 112-142, February.
    4. William G. Gale & John Karl Scholz, 1994. "Intergenerational Transfers and the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 145-160, Fall.
    5. Modigliani, Franco, 1988. "The Role of Intergenerational Transfers and Life Cycle Saving in the Accumulation of Wealth," Journal of Economic Perspectives, American Economic Association, vol. 2(2), pages 15-40, Spring.
    6. Kotlikoff, Laurence J & Summers, Lawrence H, 1981. "The Role of Intergenerational Transfers in Aggregate Capital Accumulation," Journal of Political Economy, University of Chicago Press, vol. 89(4), pages 706-732, August.
    7. Alan J. Auerbach & Jagadeesh Gokhale & Laurence J. Kotlikoff, 1991. "Generational Accounts: A Meaningful Alternative to Deficit Accounting," NBER Chapters, in: Tax Policy and the Economy, Volume 5, pages 55-110, National Bureau of Economic Research, Inc.
    8. William G. Gale, 1998. "The Effects of Pensions on Household Wealth: A Reevaluation of Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 706-723, August.
    9. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    10. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    11. 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 467-467.
    12. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-247, April.
    13. Mason, Andrew & Tapinos, Georges (ed.), 2000. "Sharing the Wealth: Demographic Change and Economic Transfers between Generations," OUP Catalogue, Oxford University Press, number 9780198296201.
    14. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
    15. Esteban Joan & Mitra Tapan & Ray Debraj, 1994. "Efficient Monetary Equilibrium: An Overlapping Generations Model with Nonstationary Monetary Policies," Journal of Economic Theory, Elsevier, vol. 64(2), pages 372-389, December.
    16. Samuelson, Paul A, 1976. "The Optimum Growth Rate for Population: Agreement and Evaluations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 516-525, June.
    17. Galor, Oded & Ryder, Harl E., 1991. "Dynamic efficiency of steady-state equilibria in an overlapping-generations model with productive capital," Economics Letters, Elsevier, vol. 35(4), pages 385-390, April.
    18. Philippe Weil, 1987. "Confidence and the Real Value of Money in an Overlapping Generations Economy," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 1-22.
    19. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. III. The case of log-linear utility functions," Journal of Economic Theory, Elsevier, vol. 24(1), pages 143-152, February.
    20. Menahem E. Yaari, 1965. "Uncertain Lifetime, Life Insurance, and the Theory of the Consumer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(2), pages 137-150.
    21. Calvo, Guillermo A & Obstfeld, Maurice, 1988. "Optimal Time-Consistent Fiscal Policy with Finite Lifetimes," Econometrica, Econometric Society, vol. 56(2), pages 411-432, March.
    22. Arthur, W Brian & McNicoll, Geoffrey, 1978. "Samuelson, Population and Intergenerational Transfers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(1), pages 241-246, February.
    23. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
    24. 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.
    25. Starrett, David A, 1972. "On Golden Rules, the "Biological Theory of Interest," and Competitive Inefficiency," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 276-291, March-Apr.
    26. Ronald Lee, 1980. "Age Structure, Intergenerational Transfers and Economic Growth : an Overview," Revue Économique, Programme National Persée, vol. 31(6), pages 1129-1156.
    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. 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.
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    More about this item

    Keywords

    JEL classification: D9; E13; H55; H62; 010; 016; Key words: Overlapping generations; Pay-As-You-Go systems; demography;
    All these keywords.

    JEL classification:

    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • H62 - Public Economics - - National Budget, Deficit, and Debt - - - Deficit; Surplus

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