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THE MYTH OF SOCIAL COST.pdf - Institute of Economic Affairs

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S. N. S. CHEUNG<br />

as hours <strong>of</strong> piano playing, and the value <strong>of</strong> marginal private<br />

product as the marginal value to the piano player <strong>of</strong> enjoying<br />

his own music. Columns i and 3 are shown in Table C, with<br />

Column 3 now representing the per-hour time-cost to the<br />

piano player. Column 6a is a variation <strong>of</strong> Column 6, with the<br />

uncontracted marginal value <strong>of</strong> music to the neighbour turning<br />

into a nuisance beyond 8 hours <strong>of</strong> play. We calculated the<br />

values in Column 13a by aggregating the values in Columns 2<br />

(Table A) and 6a for each amount <strong>of</strong> input. In Table C,<br />

Columns 3 and 13a form our fourth balance, and these marginal<br />

values are again equated at 8 units <strong>of</strong> input, £i2=£i2. The<br />

total social gain reaches a maximum <strong>of</strong> £140 (not shown) at 8<br />

units <strong>of</strong> input, or where the total social economic waste<br />

(Column ga) is zero. The values <strong>of</strong>the waste here (Column ga)<br />

may be obtained in the same manner as for Column 9, or by<br />

summing the differences between Columns 3 and 13a. Each<br />

difference represents a waste at the input margin.<br />

It will be recalled that under private maximisation the scale<br />

<strong>of</strong> operation will be at 8 units <strong>of</strong> input. But in Table C, the<br />

maximum social gain is attained also at 8 units <strong>of</strong> input!<br />

This means that the piano player who totally disregards<br />

TABLE C<br />

(0<br />

nput<br />

0<br />

1<br />

2<br />

3<br />

4<br />

5<br />

6<br />

7<br />

8<br />

9<br />

10<br />

11<br />

(3)<br />

Marginal<br />

Private<br />

Input<br />

Cost<br />

£<br />

0<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

12<br />

(6a)<br />

Value <strong>of</strong><br />

Marginal<br />

Uncontracted<br />

Effects<br />

£<br />

0<br />

21<br />

18<br />

15<br />

12<br />

9<br />

6<br />

3<br />

0<br />

-3<br />

-6<br />

-9<br />

(13a)<br />

Marginal<br />

Social<br />

Effects<br />

£<br />

0<br />

47<br />

42<br />

37<br />

32<br />

27<br />

22<br />

17<br />

12<br />

7<br />

2<br />

-3<br />

(9a)<br />

Total<br />

Social<br />

<strong>Economic</strong><br />

Waste<br />

£<br />

140<br />

105<br />

75<br />

50<br />

30<br />

15<br />

5<br />

0<br />

0<br />

5<br />

J 5<br />

30<br />

[36]

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