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With more
attributes the problem rapidly becomes more difficult. People can think clearly about two
attributes at a time; the simultaneous consideration of three or more is
difficult. The number of pairs of
attributes to consider grows quadratically with the number of attributes: 10
pairs for 5 attributes, 45 pairs for 10 attributes, 105 pairs for 15
attributes, 190 pairs for 20 attributes, and so on.
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Fortunately, the
theory provides some powerful methods to establish whether shortcuts are
possible.
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It boils down to
this: if you can establish, say, that trade-offs among three attributes do
not depend on the values of the other 17 attributes, then you do not need to
consider individual trade-offs between the 3 * 17 pairs of attributes
involved. Instead, you can develop an
overall score for the 3 attributes and (perhaps) another score for the
remaining 17. Then you need to
consider trade-offs between these two scores. This can be explored using specific examples.
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