Recursive Preferences and Balanced Growth
AbstractWe 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.
Download InfoIf 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.
Bibliographic InfoPaper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 3949.
Date of creation: Jun 2003
Date of revision:
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
Other versions of this item:
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- F40 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - General
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.:
- 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 611-35, August.
- Boud, John III, 1990. "Recursive utility and the Ramsey problem," Journal of Economic Theory, Elsevier, vol. 50(2), pages 326-345, April.
- Stephanie Schmitt-Grohe & Martin Uribe, 2002.
"Closing Small Open Economy Models,"
NBER Working Papers
9270, National Bureau of Economic Research, Inc.
- Stephanie Schmitt-Grohe & Martin Uribe, 2001. "Closing Small Open Economy Models," Departmental Working Papers 200115, Rutgers University, Department of Economics.
- Schmitt-Grohé, Stephanie & Uribe, Martín, 2002. "Closing Small Open Economy Models," CEPR Discussion Papers 3096, C.E.P.R. Discussion Papers.
- Burmeister,Edwin, 1980. "Capital Theory and Dynamics," Cambridge Books, Cambridge University Press, number 9780521297035, October.
- Sergio Rebelo, 1999.
"Long Run Policy Analysis and Long Run Growth,"
Levine's Working Paper Archive
2114, David K. Levine.
- Lucas, Robert Jr. & Stokey, Nancy L., 1984.
"Optimal growth with many consumers,"
Journal of Economic Theory,
Elsevier, vol. 32(1), pages 139-171, February.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
- Swan, Trevor W, 2002. "Economic Growth," The Economic Record, The Economic Society of Australia, vol. 78(243), pages 375-80, December.
- Dolmas, Jim, 1996. "Balanced-growth-consistent recursive utility," Journal of Economic Dynamics and Control, Elsevier, vol. 20(4), pages 657-680, April.
- 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.
- Harashima, Taiji, 2012. "Sustainable Heterogeneity as the Unique Socially Optimal Allocation for Almost All Social Welfare Functions," MPRA Paper 40938, University Library of Munich, Germany.
- Taiji Harashima, 2005.
"Endogenous Growth Models in Open Economies: A Possibility of Permanent Current Account Deficits,"
0502001, EconWPA, revised 10 Feb 2005.
- Harashima, Taiji, 2009. "Endogenous Growth Models in Open Economies: A Possibility of Permanent Current Account Deficits," MPRA Paper 19385, University Library of Munich, Germany.
- Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA.
- Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA.
- Roche, Hervé, 2011. "Asset prices in an exchange economy when agents have heterogeneous homothetic recursive preferences and no risk free bond is available," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 80-96, January.
- Harashima, Taiji, 2010. "Sustainable Heterogeneity: Inequality, Growth, and Social Welfare in a Heterogeneous Population," MPRA Paper 22521, University Library of Munich, Germany.
- Harashima, Taiji, 2013. "Sustainable Heterogeneity in Exogenous Growth Models: The Socially Optimal Distribution by Government’s Intervention," MPRA Paper 51653, University Library of Munich, Germany.
- Marla Ripoll & Juan Carlos Cordoba, 2011.
"A Contribution to the Economic Theory of Fertility,"
2011 Meeting Papers
1207, Society for Economic Dynamics.
- Cordoba, Juan Carlos & Ripoll, Marla, 2011. "A Contribution to the Economic Theory of Fertility," Staff General Research Papers 33899, Iowa State University, Department of Economics.
- Harashima, Taiji, 2009. "Trade Liberalization and Heterogeneous Rates of Time Preference across Countries: A Possibility of Trade Deficits with China," MPRA Paper 19386, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
If references are entirely missing, you can add them using this form.