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Non-existence of optimal programs for undiscounted growth models in continuous time

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We report an example of a two-dimensional undiscounted convex optimal growth model in continuous time in which, although there is a unique “golden rule”, no overtaking optimal solutions exists in… Click to show full abstract

We report an example of a two-dimensional undiscounted convex optimal growth model in continuous time in which, although there is a unique “golden rule”, no overtaking optimal solutions exists in a full neighborhood of the steady state. The example proves, for optimal growth models, a conjecture advanced in 1976 by Brock and Haurie that the minimum dimension for non-existence of overtaking optimal programs in continuous time is 2.

Keywords: growth models; optimal programs; continuous time; growth; non existence

Journal Title: Economics Letters
Year Published: 2017

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