Inverse Limits and Models with Ill-Defined Forward Dynamics
Some economic models like the cash-in-advance model of money have the property that the dynamics are ill-defined going forward in time, but well-defined going backward in time. In this paper, we apply the theory of inverse limits to characterize topologically all possible solutions to a dynamic economic model with this property. We show that such techniques are particularly well-suited for analyzing the dynamics going forward in time even though the dynamics are ill-defined in this direction. In particular, we analyze the inverse limit of the cash-in-advance model of money and illustrate how information about the inverse limit is useful for detecting or ruling out complex dynamics.
|Date of creation:||2005|
|Contact details of provider:|| Postal: Purnell Hall, Newark, Delaware 19716|
Phone: (302) 831-2565
Fax: (302) 831-6968
Web page: http://lerner.udel.edu/departments/economics/department-economics/
More information through EDIRC
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.:
- Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
- Lucas, Robert E, Jr & Stokey, Nancy L, 1987.
"Money and Interest in a Cash-in-Advance Economy,"
Econometric Society, vol. 55(3), pages 491-513, May.
- Robert E. Lucas Jr. & Nancy L. Stokey, 1984. "Money and Interest in Cash-In-Advance Economy," Discussion Papers 628, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Robert E. Lucas, Jr. & Nancy L. Stokey, 1985. "Money and Interest in a Cash-in-Advance Economy," NBER Working Papers 1618, National Bureau of Economic Research, Inc.
- Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
- Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
- Woodford, Michael, 1994. "Monetary Policy and Price Level Determinacy in a Cash-in-Advance Economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(3), pages 345-380.
- E. Roy Weintraub, 1992. "Introduction," History of Political Economy, Duke University Press, vol. 24(5), pages 3-12, Supplemen.
- Bastiaanssen, W. G. M. & van Dam, J. C. & Droogers, P., 2003. "Introduction," IWMI Books, Reports H043801, International Water Management Institute.
- Medio, Alfredo & Raines, Brian, 2007. "Backward dynamics in economics. The inverse limit approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1633-1671, May. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:dlw:wpaper:05-06. 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: (Saul Hoffman)
If references are entirely missing, you can add them using this form.