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Teor_a del Control Optimo: Horizonte infinito - Cinve

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El Mo<strong>del</strong>o Neoclásico <strong>del</strong> Crecimiento<br />

Ahora notar que a partir de (10) tenemos que<br />

.<br />

λ<br />

=<br />

λ<br />

α<br />

(αk<br />

1<br />

A partir de (16) sabemos que en equilibrio (αk α 1 δ) = ρ, entonces<br />

.<br />

λ<br />

λ<br />

= ρ )<br />

λ = λ(0)e ρt<br />

A partir de acá es fácil veri…car que también se cumple la segunda<br />

condición de transversalidad<br />

δ)<br />

(22)<br />

lim λ = lim<br />

t!∞ t!∞ λ(0)e ρt = 0. (23)<br />

Diego Aboal (FCEA, U<strong>del</strong>aR) TCOIn…nito 14 / 23

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