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Thinking and Deciding

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328 UTILITY MEASUREMENT<br />

is equivalent to ten years in pain. This leads to inconsistent utility assessments, but<br />

it may be perfectly rational. It may be that the things that people want to do with<br />

their lives when death is imminent are different things than they want to do when<br />

they have longer to live. People with a few weeks to live may focus more on getting<br />

their affairs in order for the benefit of their survivors — insofar as they can focus on<br />

anything — <strong>and</strong> this may not depend much on the state of their health. For practical<br />

purposes of measurement, this problem may be avoidable by using longer durations.<br />

Even with longer durations, though, some people claim to be unwilling to make<br />

any sacrifice of duration of life for quality of life, even when the quality difference<br />

is large, as determined by direct rating (O’Leary, Fairclough, Jankowski, <strong>and</strong> Weeks,<br />

1995). Such people may be following a simple rule of giving priority to life rather<br />

than thinking of what they (or others) might do with their lives over the periods at<br />

issue.<br />

Another result that is disturbing for the time-tradeoff method is a kind of preference<br />

reversal (Stalmeier, Wakker, <strong>and</strong> Bezembinder, 1997). When people are given a<br />

choice between living ten years with five days per week of migraine headaches (described<br />

thoroughly to them) <strong>and</strong> twenty years with five days per week of migraine,<br />

they prefer the shorter life span. This might be a rational choice if you thought that<br />

the ten years would give you a chance to tie up various projects <strong>and</strong> prepare for<br />

death but that, from a strictly experiential point of view, this condition would otherwise<br />

be worse than death. Yet, the same people were asked how many years of<br />

good health was equal to these two situations, <strong>and</strong> they gave longer durations for the<br />

twenty years than for the ten years, as if asking about years called attention to the<br />

duration of the two states rather than the severity of the condition. The time tradeoff<br />

may induce people to to attend to duration more than would be consistent with their<br />

overall goals.<br />

A closely related method counts people instead of time intervals. Suppose you<br />

have a choice of curing 100 people of cough or X people of headache. At what<br />

number X would you be indifferent? If you say twenty five, then we infer that<br />

the utility of curing cough is a quarter of that utility of curing headache, in your<br />

judgment. Or, you have a choice of curing 100 people of chest pain or saving Y<br />

people from imminent death. At what value of Y are you indifferent. If you say<br />

thirty, then we conclude that chest pain is .3 of the distance between normal health<br />

<strong>and</strong> death, so that it would have a utility of .7 on the scale we’ve been using. This<br />

method is called the person tradeoff.<br />

This method assumes that we can add utility across people. This is the assumption<br />

of utilitarian philosophy. We shall examine this idea in Chapter 16. Part of the<br />

problem with the person tradeoff is that people do not accept the assumption. For<br />

example, many people think that is equally good to save the life of 100 people who<br />

will be paralyzed after they are saved as it is to save the life of 100 people who will<br />

be normal after they are saved (Ubel, Richardson, <strong>and</strong> Pinto Priades, 1999). This<br />

implies that paralysis has a utility of 1 on the usual scale: It is as good as being normal.<br />

When the subjects are asked to compare saving 100 people from paralysis <strong>and</strong><br />

saving X people from death, they give intermediate values for X, around 50. These

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