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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 />

Equilibrio de estado estacionario: c y k/ . c = .<br />

k = 0.<br />

Entonces imponemos esta condición de equlibrio sobre la ecuaciones<br />

anteriores:<br />

. α<br />

c = (αk<br />

1<br />

ρ δ)c = 0 (16)<br />

.<br />

k = k α<br />

c δk = 0 (17)<br />

Dejando de lado los equilibrios que surgen cuando c = 0,<br />

tenemos que el equilibrio es (a partir de αk α 1 ρ δ = 0 y<br />

k α c δk = 0):<br />

1/(1 α)<br />

k = [α/(ρ + δ)]<br />

c = k α<br />

(18)<br />

δk (19)<br />

Diego Aboal (FCEA, U<strong>del</strong>aR) TCOIn…nito 8 / 23

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