Preferences and the Dynamic Representative Consumer
This paper provides families of time-separable, twice continuously di?erentiable, and strictly concave utility functions of a group of consumers that are both su?cient and necessary in order to have linear aggregation in a single-commodity-type deterministic dynamic environment, in the presence of consumer wealth-, labor-productivity, and preference heterogeneity, for alternative settings where the rates of time preference can be the same or di?erent across consumers. The employed concept of linear aggregation pertains the existence of a representative consumer with a time-separable utility function. It is proved that when the rates of time preference are choice-independent and heterogeneous across consumers, a representative consumer exists if, and only if, the momentary utility functions of all consumers are exponential. Results are also provided for, (i) common across consumers choice-independent rates of time preference, and, (ii) heterogeneous choice-dependent rates of time preference, and compared with previously identi?ed su?cient conditions for aggregation in the existing literature.
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- Per Krusell & Anthony A. Smith, Jr., .
"Income and Wealth Heterogeneity in the Macroeconomy,"
GSIA Working Papers
1997-37, Carnegie Mellon University, Tepper School of Business.
- Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
- Krusell, P & Smith Jr, A-A, 1995. "Income and Wealth Heterogeneity in the Macroeconomic," RCER Working Papers 399, University of Rochester - Center for Economic Research (RCER).
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- Lilia Maliar & Serguei Maliar, 2002.
"The Representative Consumer In The Neoclassical Growth Model With Idiosyncratic Shocks,"
Working Papers. Serie AD
2002-20, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Lilia Maliar & Serguei Maliar, 2003. "The Representative Consumer in the Neoclassical Growth Model with Idiosyncratic Shocks," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(2), pages 368-380, April.
- Caselli, F. & Ventura, J., 1996.
"A Representative Consumer Theory of Distribution,"
96-11, Massachusetts Institute of Technology (MIT), Department of Economics.
- Robert A. Pollak, 1971. "Additive Utility Functions and Linear Engel Curves," Review of Economic Studies, Oxford University Press, vol. 38(4), pages 401-414.
- Lilia Maliar & Serguei Maliar, 1999.
"- Heterogeneity In Capital And Skills In A Neoclassical Stochastic Growth Model,"
Working Papers. Serie AD
1999-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Maliar, Lilia & Maliar, Serguei, 2001. "Heterogeneity in capital and skills in a neoclassical stochastic growth model," Journal of Economic Dynamics and Control, Elsevier, vol. 25(9), pages 1367-1397, September.
- Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
- Chatterjee, Satyajit, 1994. "Transitional dynamics and the distribution of wealth in a neoclassical growth model," Journal of Public Economics, Elsevier, vol. 54(1), pages 97-119, May.
- Christopher Carroll, 2000.
"Requiem For The Representative Consumer? Aggregate Implications Of Microeconomic Consumption Behavior,"
Computing in Economics and Finance 2000
320, Society for Computational Economics.
- Christopher D. Carroll, 2000. "Requiem for the Representative Consumer? Aggregate Implications of Microeconomic Consumption Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 110-115, May.
- Christopher D. Carroll, 2000. "Mathematica code for Requiem for the Representative Consumer?," QM&RBC Codes 40, Quantitative Macroeconomics & Real Business Cycles.
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