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mic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security

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  • Martin Barbie
  • Marcus Hagedorn
  • Ashok Kaul

Abstract

We analyze the interaction between risk sharing and capital accumulation in a stochastic OLG model with production. We give a complete characterization of interim Pareto optimality. Our characterization also subsumes equilibria with a PAYG social security system. In a competitive equilibrium interim Pareto optimality is equivalent to intergenerational exchange efficiency, which in turn implies dynamic efficiency. Furthermore, dynamic efficiency does not rule out a Pareto-improving role for a social security system. Social security can provide insurance against macroeconomic risk, namely aggregate productivity risk in the second period of life (old age) through dynamic risk sharing. We briefly relate our results to models without uncertainty where the notions of exchange efficiency, dynamic efficiency and interim Pareto optimality are all equivalent in a competitive equilibrium.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse8_2000.

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Length: 31 pages
Date of creation: Feb 2000
Date of revision: Jun 2000
Handle: RePEc:bon:bonedp:bgse8_2000

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Stochastic OLG Model; Dynamic Efficiency; Interim Pareto Optimality; Social Security; Risk Sharing;

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References

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  1. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
  2. Peled, Dan, 1982. "Informational diversity over time and the optimality of monetary equilibria," Journal of Economic Theory, Elsevier, vol. 28(2), pages 255-274, December.
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  7. Andrew Abel & Gregory N. Mankiw & Lawrence H. Summers & Richard Zeckhauser, . "Assessing Dynamic Efficiency: Theory and Evidence," Rodney L. White Center for Financial Research Working Papers 14-88, Wharton School Rodney L. White Center for Financial Research.
  8. 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.
  9. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
  10. Wolfram Richter, 1993. "Intergenerational risk sharing and social security in an economy with land," Journal of Economics, Springer, vol. 7(1), pages 91-103, December.
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  12. Okuno, Masahiro & Zilcha, Itzhak, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Wiley Blackwell, vol. 47(4), pages 797-807, July.
  13. 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.
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  15. Manuelli, Rodolfo, 1990. "Existence and optimality of currency equilibrium in stochastic overlapping generations models: The pure endowment case," Journal of Economic Theory, Elsevier, vol. 51(2), pages 268-294, August.
  16. Bose, Amitava & Ray, Debraj, 1993. "Monetary Equilibrium in an Overlapping Generations Model with Productive Capital," Economic Theory, Springer, vol. 3(4), pages 697-716, October.
  17. Mitra, Tapan, 1979. "Identifying inefficiency in smooth aggregative models of economic growth : A unifying criterion," Journal of Mathematical Economics, Elsevier, vol. 6(1), pages 85-111, March.
  18. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
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  20. Demange, Gabrielle & Laroque, Guy, 2000. " Social Security, Optimality, and Equilibria in a Stochastic Overlapping Generations Economy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 2(1), pages 1-23.
  21. Wolfram Richter, 1993. "Intergenerational risk sharing and social security in an economy with land," Journal of Economics, Springer, vol. 58(1), pages 91-103, December.
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Cited by:
  1. Lucas Bretschger & Karen Pittel, 2005. "Innovative Investments, Natural Resources and Intergenerational Fairness: Are Pension Funds Good for Sustainable Development?," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 141(III), pages 355-376, September.

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