Dynamic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security
AbstractWe 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.
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Bibliographic InfoPaper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 209.
Length: 42 pages
Date of creation: Oct 2000
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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:
- NEP-DGE-2000-11-20 (Dynamic General Equilibrium)
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- Dutta, Jayasri & Polemarchakis, Herakles, 1990. "Asset Markets and Equilibrium Processes," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 229-54, April.
- 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.
- Piero Gottardi & Subir Chattopadhyay, 1999.
"- Stochastic Olg Models, Market Structure And Optimality,"
Working Papers. Serie AD
1999-15, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
- Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
- 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.
- Dutta,Jayasri Polemarchakes,Herakles, 1988. "Asset markets and equilibrium processes," Discussion Paper Serie A 203, University of Bonn, Germany.
- 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.
- 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.
- Benveniste, Lawrence & Gale, David, 1975. "An extension of Cass' characterization of infinite efficient production programs," Journal of Economic Theory, Elsevier, vol. 10(2), pages 229-238, April.
- 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.
- 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.
- Gabrielle Demange & Guy Laroque, 1999.
"Social Security and Demographic Shocks,"
Econometric Society, vol. 67(3), pages 527-542, May.
- 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.
- 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.
- 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.
- 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.
- Rhee, Changyong, 1991. "Dynamic Inefficiency in an Economy with Land," Review of Economic Studies, Wiley Blackwell, vol. 58(4), pages 791-97, July.
- 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.
- Dechert, W Davis & Yamamoto, Kenji, 1992. "Asset Valuation and Production Efficiency in an Overlapping-Generations Model with Production Shocks," Review of Economic Studies, Wiley Blackwell, vol. 59(2), pages 389-405, April.
- 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.
- Bose, Amitava & Ray, Debraj, 1993.
"Monetary Equilibrium in an Overlapping Generations Model with Productive Capital,"
Springer, vol. 3(4), pages 697-716, October.
- Ray, D. & Bose, A., 1992. "Monetary Equilibrium in an Overlapping Generations Models with Productive Capital," Papers 16, Boston University - Department of Economics.
- 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.
- Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
- 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.
- Lucas Bretschger & Karen Pittel, 2005. "Innovative investments, natural resources, and intergenerational fairness : are pension funds good for sustainable development?," CER-ETH Economics working paper series 05/36, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
- Egil Matsen & Øystein Thøgersen, 2000.
"Designing Social Security – A Portfolio Choice Approach,"
Working Paper Series
1102, Department of Economics, Norwegian University of Science and Technology.
- Matsen, Egil & Thogersen, Oystein, 2004. "Designing social security - a portfolio choice approach," European Economic Review, Elsevier, vol. 48(4), pages 883-904, August.
- Matsen, E. & Thogersen, O., 2001. "Designing Social Security - A Portfolio Choice Approach," Papers 21/2001, Norwegian School of Economics and Business Administration-.
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