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|
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- 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.
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- Bastiaanssen, W. G. M. & van Dam, J. C. & Droogers, P., 2003. "Introduction," IWMI Books, Reports H043801, International Water Management Institute.
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