Tackling indeterminacy in overlapping generations models

Tackling indeterminacy in overlapping generations models

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Article ID: iaor20133813
Volume: 77
Issue: 3
Start Page Number: 445
End Page Number: 457
Publication Date: Jun 2013
Journal: Mathematical Methods of Operations Research
Authors:
Keywords: differential equations
Abstract:

Overlapping generations models may have a continuum of equilibria. Previous studies have been largely confined to the local analysis that linearizes the model around the steady state. However, what is true of the linearized system only applies for an unknown‐sized open neighborhood of the steady state. In this paper I develop a method to diagnose the indeterminacy in overlapping generations models by computing the set of all equilibria. I also provide a procedure to simulate the economy with indeterminate equilibrium.

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