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|
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de
References listed on IDEAS
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.:
- 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.
- 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.
- 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.
- 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 Polemarchakes,Herakles, 1988. "Asset markets and equilibrium processes," Discussion Paper Serie A 203, University of Bonn, Germany.
- 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).
- Demange, G. & Laroque, G., 1996.
"Social Security and Demographic Shocks,"
DELTA Working Papers
96-04, DELTA (Ecole normale supérieure).
- Ray, D. & Bose, A., 1992.
"Monetary Equilibrium in an Overlapping Generations Models with Productive Capital,"
16, Boston University - Department of Economics.
- Bose, Amitava & Ray, Debraj, 1993. "Monetary Equilibrium in an Overlapping Generations Model with Productive Capital," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 697-716, October.
- 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.
- Chattopadhyay, Subir & Gottardi, Piero, 1999.
"Stochastic OLG Models, Market Structure, and Optimality,"
Journal of Economic Theory,
Elsevier, vol. 89(1), pages 21-67, November.
- 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).
- Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
- 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.
- 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.
- 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.
- Zilcha, Itzhak, 1990. "Dynamic efficiency in overlapping generations models with stochastic production," Journal of Economic Theory, Elsevier, vol. 52(2), pages 364-379, December.
When requesting a correction, please mention this item's handle: RePEc:bon:bonedp:bgse8_2000. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (BGSE Office)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.