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Thinking and Deciding

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CONCLUSION 387<br />

quality. The numbers 1–3 on the horizontal axis represent the utility of price. The<br />

prices are evenly spaced in the left graph, but the utilities are unevenly space. The<br />

utilities are not a linear function of price. The ratings A–E are themselves derived<br />

from an internal psychological scale of overall utility (combining price <strong>and</strong> quality),<br />

represented by the numbers on the vertical axis. The ratings are evenly spaced, but<br />

the overall utility scale is not. This has to do with the way the subject translates<br />

utilities into responses, which is also nonlinear. The figure on the right shows what<br />

happens after conjoint analysis. Instead of curved lines, all the lines are now straight.<br />

Both axes now represent utility. (The ratings <strong>and</strong> prices are omitted, but they would<br />

now be unevenly spaced if they were included.) The conjoint analysis procedure<br />

essentially figures out what the utility functions would be if the utilities were additive<br />

<strong>and</strong> the response was some function of the total utility.<br />

Conclusion<br />

People use various heuristics to make quantitative judgments, such as representativeness,<br />

anchoring <strong>and</strong> adjustment, <strong>and</strong> averaging. They also attend to different factors<br />

on different occasions. This leads to r<strong>and</strong>om variation. As a result, when judgments<br />

of the same type are made repeatedly, <strong>and</strong> when simple models are possible, then<br />

formulas do better than people, despite the fact that formulas are incapable of considering<br />

all possible factors.<br />

People often resist this possibility because they are overconfident about their<br />

judgments. Increased awareness of our limitations as judges <strong>and</strong> decision makers<br />

ought to improve our mutual tolerance of one another, <strong>and</strong> it can also lead to increased<br />

acceptance of new methods for decision making.

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