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

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

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
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 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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

Find related papers by JEL classification:
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

This paper has been announced in the following NEP Reports:

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Dutta,Jayasri Polemarchakes,Herakles, 1988. "Asset markets and equilibrium processes," Discussion Paper Serie A 203, University of Bonn, Germany.
  3. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," NBER Working Papers 2097, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June. [Downloadable!] (restricted)
  6. Demange, G., 1998. "On the Efficiency of Intergenerational Risk Sharing and Capital Accumulation in an Economy with Land," DELTA Working Papers 98-21, DELTA (Ecole normale supérieure).
  7. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
  10. 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.
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  11. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
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  12. 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. [Downloadable!] (restricted)
  13. 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. [Downloadable!] (restricted)
  14. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November. [Downloadable!] (restricted)
  15. Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
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  16. Dutta, Jayasri & Polemarchakis, Herakles, 1990. "Asset Markets and Equilibrium Processes," Review of Economic Studies, Blackwell Publishing, vol. 57(2), pages 229-54, April. [Downloadable!] (restricted)
  17. 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. [Downloadable!] (restricted)
  18. Stefan Homburg, 1991. "Interest and Growth in an Economy with Land," Canadian Journal of Economics, Canadian Economics Association, vol. 24(2), pages 450-59, May. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  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. [Downloadable!]
    Other versions:
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