Endogenous Market Incompleteness Without Market Frictions: Dynamic Suboptimality of Competitive Equilibrium in Multiperiod Overlapping Generations Economies
In this paper, we show that within the set of stochastic three-period-lived OLG economies with productive assets (such as land), markets are necessarily sequentially incomplete, and agents in the model do not share risk optimally. We start by characterizing perfect risk sharing and find that it requires a state-dependent consumption claims which depend only on the exogenous shock realizations. We show then that the recursive competitive equilibrium of any overlapping generations economy with weakly more than three generations is not strongly stationary. This then allows us to show directly that there are short-run Pareto improvements possible in terms of risk-sharing and hence, that the recursive competitive equilibrium is not Pareto optimal. We then show that a financial reform which eliminates the equity asset and replaces it with zero net supply insurance contracts (Arrow securities) will implement to Pareto optimal stochastic steady-state known to exist in the model. Finally, we also show via numerical simulations that a system of government taxes and transfers can lead to a Pareto improvement over the competitive equilibrium in the model.
|Date of creation:|
|Date of revision:|
|Contact details of provider:|| Postal: Tepper School of Business, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213-3890|
Web page: http://www.tepper.cmu.edu/
|Order Information:||Web: http://student-3k.tepper.cmu.edu/gsiadoc/GSIA_WP.asp|
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.:
- Kehoe, Timothy J. & Levine, David K., 1990.
"The economics of indeterminacy in overlapping generations models,"
Journal of Public Economics,
Elsevier, vol. 42(2), pages 219-243, July.
- Timothy J. Kehoe & David K. Levine, 1990. "The Economics of Indeterminacy in Overlapping Generations Models," Levine's Working Paper Archive 2193, David K. Levine.
- Wang, P., 1991.
"Money, Competitive Efficiency and Intergenerational Transactions,"
10-91-6, Pennsylvania State - Department of Economics.
- Wang, Ping, 1993. "Money, competitive efficiency, and intergenerational transactions," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 303-320, November.
- Gabrielle Demange, 2001.
"On optimality in intergenerational risk sharing,"
- 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.
- 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.
- Subir Chattopadhyay & Piero Gottardi, 1999.
"Stochastic OLG Models, Market Structure, and Optimality,"
99-12, Brown University, Department of Economics.
- 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).
- Spear, Stephen E., 1985. "Rational expectations in the overlapping generations model," Journal of Economic Theory, Elsevier, vol. 35(2), pages 251-275, August.
- Felix Kubler & Karl Schmedders, 2005. "Approximate versus Exact Equilibria in Dynamic Economies," Econometrica, Econometric Society, vol. 73(4), pages 1205-1235, 07.
- Dirk Krueger & Felix Kubler, 2002. "Intergenerational Risk-Sharing via Social Security when Financial Markets Are Incomplete," American Economic Review, American Economic Association, vol. 92(2), pages 407-410, May.
- Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-81, July.
- Alessandro Citanna & Paolo Siconolfi, 2010. "Recursive Equilibrium in Stochastic Overlapping-Generations Economies," Econometrica, Econometric Society, vol. 78(1), pages 309-347, 01.
- Spear, Stephen E. & Srivastava, Sanjay, 1986. "Markov rational expectations equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 38(1), pages 35-62, February.
- Zilcha, Itzhak, 1990. "Dynamic efficiency in overlapping generations models with stochastic production," Journal of Economic Theory, Elsevier, vol. 52(2), pages 364-379, December.
- Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
- 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.
- Muench, Thomas J., 1977. "Optimality, the interaction of spot and futures markets, and the nonneutrality of money in the lucas model," Journal of Economic Theory, Elsevier, vol. 15(2), pages 325-344, August.
When requesting a correction, please mention this item's handle: RePEc:cmu:gsiawp:1114116336. 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: (Steve Spear)
If references are entirely missing, you can add them using this form.