Acyclicity and Stability of Intertemporal Optimization Models
AbstractThis paper provides a turnpike-like theorem for multidimensional, optimal-growth models, which holds for evey level of the discount factor. It is shown that when the short-run return fu nction of the reduced-form model satisfies a certain sufficient condi tion, then the resulting dynamics is of a simple type, i.e., it must converge to some steady state. The result is obtained in two steps: f irst it is shown that dynamical systems satisfying an acyclic binary relation must be simple; second, the value function for the optimal p roblem is used to define a binary relation on the space of feasible s tates. The necessary and sufficient conditions under which the latter binary relation is acyclic are provided, and their relation to the t echnology and preferences is outlined. Copyright 1988 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.
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Bibliographic InfoArticle provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.
Volume (Year): 29 (1988)
Issue (Month): 1 (February)
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- Boldrin Michele & Montrucchio Luigi, 1995.
"Acyclicity and Dynamic Stability: Generalizations and Applications,"
Journal of Economic Theory,
Elsevier, vol. 65(2), pages 303-326, April.
- Michele Boldrin & Luigi Montrucchio, 1987. "Acyclicity and Dynamic Stability: Generalizations and Applications," Discussion Papers 980, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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