Existence and local indeterminacy of periodic equilibrium paths in infinite horizon models with external effects |
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Authors: | Tetsuya Shimokawa |
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Institution: | (1) CIRJE, Faculty of Economics, University of Tokyo, Hongo 7-3-1 Bunkyo-ku, Tokyo 113-8654, JAPAN, JP |
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Abstract: | Summary. It is expected that every periodic equilibrium path may exist even under standard assumptions such as low discounting and
the concavity of utility functions in infinite horizon models with external effects. Nevertheless, until now no such example
has been presented. In this note we will first construct a bounded growth model that has an external effect and every periodic
equilibrium path under any discount factor. Next we will study the conditions under which periodic equilibrium paths have
a local indeterminacy.
Received: December 23, 1998; revised version: April 19, 1999 |
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Keywords: | and Phrases: External effects Periodic equilibrium paths Local indeterminacy |
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