Equilibria of heterogeneous economies with a continuum of agents
AbstractThe dynamic heterogeneous economies studied are described by a collection of heterogenous indi- viduals, their individual states and an aggregate state, such that the individuals' actions are given by the policy obtained from an optimization program and the aggregate law of motion is given by the aggregation of the individuals' actions. These economies have been used in computer simula- tions, however the analytical information about the equilibria of such economies is scarce and the classical approach of Stokey and Lucas with Prescott (1989) does not apply. This paper defines the relevant concepts of equilibria and proves the existence of such equilibria using the Schauder Fixed Point Theorem. In order to apply Schauder's theorem, a metric for the space of operators between measures is provided, and the compactness of a specific operator is proved. Moreover, the existence of a steady state for the aggregate state of the system is obtained through the Schauder-Tychonoff Theorem. The results are related to models available in the literature.
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.
Bibliographic InfoPaper provided by Facultad de Ciencias Económicas de la ULPGC in its series Documentos de trabajo conjunto ULL-ULPGC with number 2002-08.
Length: 25 pages
Date of creation: 2002
Date of revision:
Contact details of provider:
Dynamic Programming; Spaces of Measures; Fixed Point Theorems; Heterogeneous Economies;
This paper has been announced in the following NEP Reports:
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.:
- Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
- 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).
- 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.
- 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.
- Aiyagari, S Rao, 1994.
"Uninsured Idiosyncratic Risk and Aggregate Saving,"
The Quarterly Journal of Economics,
MIT Press, vol. 109(3), pages 659-84, August.
- Den Haan, Wouter J., 2001.
"The importance of the number of different agents in a heterogeneous asset-pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 25(5), pages 721-746, May.
- Wouter J. Denhaan, 2000. "The Importance Of The Number Of Different Agents In A Heterogeneous Asset-Pricing Model," Computing in Economics and Finance 2000 349, Society for Computational Economics.
- Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
- Magill,Michael & Quinzii,Martine, 1992.
"Infinite horizon,Incomplete markets,"
Discussion Paper Serie A
384, University of Bonn, Germany.
- Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
- Magill, M. & Quinzii, M., 1992. "Infinite Horizon Incomplete Markets," Papers 413a, California Davis - Institute of Governmental Affairs.
- Magill, M. & Quinzii, M., 1992. "Infinite Horizon Incomplete Markets," DELTA Working Papers 92-26, DELTA (Ecole normale supérieure).
- Greenwood, J. & Huffman, G.W., 1993. "On the Existence of Nonoptimal Equilibria," RCER Working Papers 370, University of Rochester - Center for Economic Research (RCER).
- Hopenhayn, Hugo A & Prescott, Edward C, 1992. "Stochastic Monotonicity and Stationary Distributions for Dynamic Economies," Econometrica, Econometric Society, vol. 60(6), pages 1387-406, November.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Patricia Santana).
If references are entirely missing, you can add them using this form.