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Article dans une revue International Journal of Economic Theory Année : 2006

On optimal growth models when the discount factor is near 1 or equal to 1

Résumé

The aim of this paper is to fill the gap between intertemporal growth models when the discount factor beta is close to one and when it equals one.
We show that the value function and the policy function are continuous with respect both to the discount factor and the initial stock of capital
x0. We prove that the optimal policy g(x0) is differentiable and that Dg(x0) is continuous with respect to (beta, x0). As a by-product, a global
turnpike result is proved.
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Dates et versions

halshs-00096034, version 1 (27-09-2006)

Identifiants

Citer

Cuong Le Van, Lisa Morhaim. On optimal growth models when the discount factor is near 1 or equal to 1. International Journal of Economic Theory, 2006, 2 (1), pp.55-76. ⟨10.1111/j.1365-2966.2006.0024.x⟩. ⟨halshs-00096034⟩
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