Recursive Preferences and Balanced Growth
We study a class of utility functions that are defined recursively by an aggregator function. In single-agent economies it is known that a sufficient condition for the existence of a balanced growth path is that utility should be homogenous. In the context of a multi-agent economy we show that this restriction implies that either a balanced growth equilibrium fails to exist or all agents have the same constant discount factor. We suggest a generalization of recursive preferences wherein the intertemporal utility function is time dependent. Within this class we establish that there may exist a balanced growth equilibrium even if agents are different. We give an example of our approach in the international context in which time dependence occurs because countries care about their relative position in the world income distribution.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
|Date of creation:||Jun 2003|
|Contact details of provider:|| Postal: Centre for Economic Policy Research, 77 Bastwick Street, London EC1V 3PZ.|
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820
|Order Information:|| Email: |
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.:
- Swan, Trevor W, 2002. "Economic Growth," The Economic Record, The Economic Society of Australia, vol. 78(243), pages 375-380, December.
- Schmitt-Grohe, Stephanie & Uribe, Martin, 2003.
"Closing small open economy models,"
Journal of International Economics,
Elsevier, vol. 61(1), pages 163-185, October.
- Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Closing Small Open Economy Models," Departmental Working Papers 200115, Rutgers University, Department of Economics.
- Stephanie Schmitt-Grohe & Martin Uribe, 2002. "Closing Small Open Economy Models," NBER Working Papers 9270, National Bureau of Economic Research, Inc.
- Schmitt-Grohé, Stephanie & Uribe, Martín, 2002. "Closing Small Open Economy Models," CEPR Discussion Papers 3096, C.E.P.R. Discussion Papers.
- Dolmas, Jim, 1996. "Balanced-growth-consistent recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 657-680, April.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- Epstein, Larry G & Hynes, J Allan, 1983. "The Rate of Time Preference and Dynamic Economic Analysis," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 611-635, August.
- Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
- Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
- Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February.
- Burmeister,Edwin, 1980. "Capital Theory and Dynamics," Cambridge Books, Cambridge University Press, number 9780521297035.
- Mendoza, Enrique G, 1991. "Real Business Cycles in a Small Open Economy," American Economic Review, American Economic Association, vol. 81(4), pages 797-818, September.