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

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  • Barbie, Martin

    (University of Karlsruhe)

  • Hagedorn, Marcus

    (University of Oslo)

  • Kaul, Ashok

    (Saarland University)

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, contrary to the case of certainty, dynamic effi-ciency 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. The mechanism through which social security can Pareto-improve market allocations resembles a Ponzi scheme. But instead of rolling over debt, we can interpret our scheme as one that raises contributions and then rolls over an insurance contract.

Suggested Citation

  • Barbie, Martin & Hagedorn, Marcus & Kaul, Ashok, 2000. "Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security," IZA Discussion Papers 209, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp209
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    Cited by:

    1. Matsen, Egil & Thogersen, Oystein, 2004. "Designing social security - a portfolio choice approach," European Economic Review, Elsevier, vol. 48(4), pages 883-904, August.
    2. 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.
    3. Martin Barbie & Marcus Hagedorn & Ashok Kaul, 2006. "Fostering Within-Family Human-Capital Investment: An Intragenerational Insurance Perspective of Social Security," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 62(4), pages 503-529, December.

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    More about this item

    Keywords

    Stochastic OLG Model; Dynamic Efficiency; Interim Pareto Optimality; Social Security; Risk Sharing;
    All these keywords.

    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

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