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Thinking and Deciding

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Chapter 10<br />

Normative theory of choice<br />

under uncertainty<br />

All presumptive evidence of felony should be admitted cautiously: for<br />

the law holds, that it is better that ten guilty people escape, than that one<br />

innocent suffer.<br />

William Blackstone (1769)<br />

This chapter begins the discussion of the normative theory of decision making: that<br />

is, the theory of how we should choose among possible actions under ideal conditions.<br />

The best decision, I argue, is the one that best helps us to achieve our goals.<br />

This idea follows directly from the definition of rationality introduced in Chapter 3.<br />

The application of this criterion, however, is not always so clear. Decisions often<br />

involve conflict. There may be conflict between the desirability of an outcome <strong>and</strong> its<br />

probability: The job at Harvard appeals to Ellen more, but the chances of obtaining<br />

tenure are better at Yale. The conflict may be between goals: The Yale job is better<br />

for her career, but the Boston area is a nicer place to live than New Haven. The goals<br />

involved can be those of different people: The Harvard job is better for Ellen, but<br />

her husb<strong>and</strong> will have a better chance of finding a job in New Haven. How do we<br />

resolve such conflicts?<br />

Normatively, the best answer would depend on the extent to which each consequence<br />

of each option (for example, Harvard or Yale) achieves each goal for each<br />

person. This measure of extent of goal achievement is called utility. Our goals, of<br />

course, are what we want to achieve. The normative model states that we should<br />

try to “maximize total utility,” that is, choose the option that will yield the greatest<br />

total utility. When outcomes are uncertain, we take this uncertainty into account<br />

by multiplying the utility of each outcome by its probability. (We shall consider<br />

the arguments for multiplication later.) This theory of how we should measure <strong>and</strong><br />

maximize utility is called utility theory.<br />

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