mic Efficiency and Pareto Optimality in a Stochastic OLG Model with Production and Social Security
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.
|Date of creation:||Feb 2000|
|Date of revision:||Jun 2000|
|Contact details of provider:|| Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany|
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- 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.
- Jayasri Dutta & Herakles Polemarchakis, 1990.
"Asset Markets and Equilibrium Processes,"
Review of Economic Studies,
Oxford University Press, vol. 57(2), pages 229-254.
- DUTTA, Jayasri & POLEMARCHAKIS, Heraklis, "undated". "Asset markets and equilibrium processes," CORE Discussion Papers RP 881, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Dutta,Jayasri Polemarchakes,Herakles, 1988. "Asset markets and equilibrium processes," Discussion Paper Serie A 203, University of Bonn, Germany.
- 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.
- Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1986.
"Assessing Dynamic Efficiency: Theory and Evidence,"
NBER Working Papers
2097, National Bureau of Economic Research, Inc.
- Andrew Abel & Gregory N. Mankiw & Lawrence H. Summers & Richard Zeckhauser, "undated". "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.
- 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.
- Gabrielle Demange & Guy Laroque, 1999.
"Social Security and Demographic Shocks,"
Econometric Society, vol. 67(3), pages 527-542, May.
- 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.
- 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.
- 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.
- Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
- Bose, Amitava & Ray, Debraj, 1993.
"Monetary Equilibrium in an Overlapping Generations Model with Productive Capital,"
Springer;Society for the Advancement of Economic Theory (SAET), 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.
- 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.
- Masahiro Okuno & Itzhak Zilcha, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Oxford University Press, vol. 47(4), pages 797-807.
- 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.
- 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.
- 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.
- 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.
- Stefan Homburg, 1991. "Interest and Growth in an Economy with Land," Canadian Journal of Economics, Canadian Economics Association, vol. 24(2), pages 450-459, May.
- 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.
- Zilcha, Itzhak, 1990. "Dynamic efficiency in overlapping generations models with stochastic production," Journal of Economic Theory, Elsevier, vol. 52(2), pages 364-379, December.
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