Intertemporal Complementarity And Optimality: A Study Of A Two-Dimensional Dynamical System
We study the underlying structure of the two-dimensional dynamical system generated by a class of dynamic optimization models that allow for intertemporal complementarity between adjacent periods, but preserve the time-additively separable framework of Ramsey models. Specifically, we identify conditions under which the results of the traditional Ramsey-type theory are preserved even when the intertemporal independence assumption is relaxed. Local analysis of this theme has been presented by Samuelson ("Western Economic Journal" 9 (1971), 21-26). We establish global convergence results and relate them to the local analysis, by using the mathematical theory of two-dimensional dynamical systems. We also relate the local stability property of the stationary optimal stock to the differentiability of the optimal policy function near the stationary optimal stock, by using the Stable Manifold Theorem. Copyright 2005 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.
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.
Volume (Year): 46 (2005)
Issue (Month): 1 (02)
|Contact details of provider:|| Postal: 160 McNeil Building, 3718 Locust Walk, Philadelphia, PA 19104-6297|
Phone: (215) 898-8487
Fax: (215) 573-2057
Web page: http://www.econ.upenn.edu/ier
More information through EDIRC
|Order Information:|| Web: http://www.blackwellpublishing.com/subs.asp?ref=0020-6598 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.:
- Peter A. Diamond & Tjalling C. Koopmans & Richard E. Williamson, 1962. "Stationary Utility and Time Preference," Cowles Foundation Discussion Papers 142, Cowles Foundation for Research in Economics, Yale University.
- Lane, John & Mitra, Tapan, 1981. "On Nash Equilibrium Programs of Capital Accumulation under Altruistic Preferences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(2), pages 309-31, June.
- J. MUYSKENS & C. de Neubourg, 1986. "Introduction," Discussion Papers (REL - Recherches Economiques de Louvain) 1986031, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Santos, Manuel S, 1991. "Smoothness of the Policy Function in Discrete Time Economic Models," Econometrica, Econometric Society, vol. 59(5), pages 1365-82, September.
- repec:oup:restud:v:40:y:1973:i:1:p:1-33 is not listed on IDEAS
- Araujo, A, 1991. "The Once but Not Twice Differentiability of the Policy Function," Econometrica, Econometric Society, vol. 59(5), pages 1383-93, September.
- Abel, Andrew B, 1990.
"Asset Prices under Habit Formation and Catching Up with the Joneses,"
American Economic Review,
American Economic Association, vol. 80(2), pages 38-42, May.
- A. Abel, 2010. "Asset prices under habit formation and catching up with the Jones," Levine's Working Paper Archive 1395, David K. Levine.
- Andrew B. Abel, 1990. "Asset Prices under Habit Formation and Catching up with the Joneses," NBER Working Papers 3279, National Bureau of Economic Research, Inc.
- Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 1-90, Wharton School Rodney L. White Center for Financial Research.
- Andrew B. Abel, . "Asset Prices Under Habit Formation and Catching Up With the Jones," Rodney L. White Center for Financial Research Working Papers 01-90, Wharton School Rodney L. White Center for Financial Research.
- Abel, A.B., 1990. "Asset Prices Under Habit Formation And Catching Up With The Joneses," Weiss Center Working Papers 1-90, Wharton School - Weiss Center for International Financial Research.
- Benhabib, Jess & Nishimura, Kazuo, 1983.
"Competitive Equilibrium Cycles,"
83-30, C.V. Starr Center for Applied Economics, New York University.
- repec:oup:restud:v:54:y:1987:i:2:p:227-41 is not listed on IDEAS
- Wan, Henry, 1970. "Optimal Saving Programs under Intertemporally Dependent Preferences," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(3), pages 521-47, October.
- Amir, R., 1991.
"Sensitivity analysis of multi-sector optimal economic dynamics,"
CORE Discussion Papers
1991006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Amir, Rabah, 1996. "Sensitivity analysis of multisector optimal economic dynamics," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 123-141.
- Araujo, A & Scheinkman, Jose A, 1977. "Smoothness, Comparative Dynamics, and the Turnpike Property," Econometrica, Econometric Society, vol. 45(3), pages 601-20, April.
- Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- B. Douglas Bernheim & Debraj Ray, 1987. "Economic Growth with Intergenerational Altruism," Review of Economic Studies, Oxford University Press, vol. 54(2), pages 227-243.
- Amir, Rabah & Mirman, Leonard J & Perkins, William R, 1991. "One-Sector Nonclassical Optimal Growth: Optimality Conditions and Comparative Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(3), pages 625-44, August.
- Boyer, Marcel, 1978.
"A Habit Forming Optimal Growth Model,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 585-609, October.
- Iwai, Katsuhito, 1972. "Optimal economic growth and stationary ordinal utility --A fisherian approach," Journal of Economic Theory, Elsevier, vol. 5(1), pages 121-151, August.
- Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
- Montrucchio, Luigi, 1998. "Thompson metric, contraction property and differentiability of policy functions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 449-466, January.
When requesting a correction, please mention this item's handle: RePEc:ier:iecrev:v:46:y:2005:i:1:p:93-131. 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: (Wiley-Blackwell Digital Licensing)or ()
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.