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The main stages of the analysis 335<br />

Next, the desirability of using each of the strategies was assessed in<br />

relation to each benefit, starting with the North region. To do this, a value<br />

scale which ranged from 0 to 100 was used with 0 representing the least<br />

desirable effect and 100 the most desirable. This assessment was carried<br />

out separately by the group for each individual region, so that in Table 13.1<br />

the 100 in the ‘Market share’ column in the North region, for example,<br />

means that strategy 2 was thought to be the better of the two strategies<br />

available in the North for improving market share.<br />

In the case of short-term profits, the group first estimated the profits<br />

which might result from the different strategies as monetary values (these<br />

figures are bracketed in the table) and these were then converted to values<br />

under the assumption that a linear value function was appropriate. Of<br />

course, in the case of ‘Risk’ a value of 100 denotes the strategy which<br />

was judged to be the least risky. Thus in the West region a switch from<br />

strategy 3 to strategy 2 would lead to a reduction in risk which was<br />

considered to be 60% as attractive as the reduction in risk which would<br />

result if the switch was made from strategy 3 to strategy 1.<br />

Measuring each benefit on a common scale<br />

Because the values were assessed separately for each region, a movement<br />

from 0 to 100 for a particular benefit in one region might be more or less<br />

preferable than the same movement in another region. To take this into<br />

account, it was now necessary to measure these changes in benefit on a<br />

common scale. To illustrate the nature of the problem, let us suppose for<br />

the moment that just two regions were operated by the company, West<br />

and East, and that a swing from the worst to the best strategy for market<br />

share in the West was only seen as half as important as the swing which<br />

could be achieved by changing from the worst to the best strategy in the<br />

East. Figure 13.2 shows the two value scales for market share side by<br />

side. Normally, the longest scale is used as the common scale. Therefore,<br />

in this case, if we used the East’s value scale as the common scale it can<br />

be seen that a value of 50 on the West’s scale will only have a value of 25<br />

on the common scale.<br />

The different lengths of the scales are measured by the within-criterion<br />

weights. In this simple example the East would be allocated a withincriterion<br />

weight of 100 for market share and the West a value of 50,<br />

which means that on the common scale the West’s market share values<br />

will only have 50% of their original values. The within-criterion weights<br />

that were elicited for the furniture company problem are shown in<br />

Figure 13.3 and we next describe how these weights were assessed.

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