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Stabilisation Policy in a Closed Economy Author(s): A. W. Phillips ...

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300 THE ECONOMIC JOURNAL [JUNE<br />

5. Proportional Plus Integral <strong>Stabilisation</strong> <strong>Policy</strong><br />

A comb<strong>in</strong>ation of proportional and <strong>in</strong>tegral stabilisation<br />

policies gives much better results than either policy alone. This<br />

can be seen from Figs. 7 and 8, <strong>in</strong> which Curves (a) aga<strong>in</strong> show<br />

the response of production to unit spontaneous fall <strong>in</strong> demand<br />

<strong>in</strong> the absence of stabilisation policy. Curve (b) of Fig. 7 shows<br />

how this response is modified if a stabilisation policy is adopted<br />

hav<strong>in</strong>g a proportional correction factor of 0.5 plus an <strong>in</strong>tegral<br />

correction factor of 0.5, the time constant of the correction lag<br />

be<strong>in</strong>g 6 months. The proportional element <strong>in</strong> the policy helps to<br />

speed up correction and to limit the fluctuations caused by the<br />

. (e) Years<br />

2 3 4 5 6 7 8<br />

0-<br />

-2.<br />

-3<br />

-4<br />

(a)<br />

FIG. 7<br />

Curve (a), no stabilisation policy.<br />

Curve (b), fp = 05, f 05, T = 6 months.<br />

Curve (c), fp = 2, f 2, T 6 months.<br />

Curve (d), f, 8, f, 8, T 6 months.<br />

Curve (e),fp =f 8, fi 8, fd = 1, T = 6 months.<br />

<strong>in</strong>tegral policy, while the <strong>in</strong>tegral element provides the complete<br />

correction unobta<strong>in</strong>able with the proportional policy alone.<br />

Curve (c) of Fig. 7 shows the response when a stronger policy is<br />

adopted, keep<strong>in</strong>g the same proportion between the two elements,<br />

both correction factors be<strong>in</strong>g raised to 2, while <strong>in</strong> Curve (d) they<br />

are raised to 8, the correction lag rema<strong>in</strong><strong>in</strong>g at 6 months <strong>in</strong> each<br />

case.<br />

In the examples illustrated <strong>in</strong> Fig. 8 the time constant of the<br />

correction lag is reduced to 6 weeks. Curve (b) shows the response<br />

when both proportional and <strong>in</strong>tegral correction factors are 065.<br />

Compar<strong>in</strong>g this with Curve (b) of Fig. 7, it may appear paradoxical<br />

that with a shorter correction lag a longer time elapses before

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