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Logical Decisions - Classweb

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commit to buying their truck before the engine specifications have<br />

been finalized.<br />

Please enter P so that A and B are equally preferred:<br />

Alternative A<br />

50 percent chance of<br />

Power = 175 and Fuel Economy = 16<br />

and 50 percent chance of<br />

Power = 109 and Fuel Economy = 23<br />

Alternative B<br />

P = 50 percent chance of<br />

Power = 175 and Fuel Economy = 23<br />

and 100 - P percent chance of<br />

Power = 109 and Fuel Economy = 16<br />

Figure 5-5. Question for assessing the interaction between Power and<br />

Fuel Economy using the probability method.<br />

Let's look more closely at the two alternatives. Alternative A is<br />

the "hedge your bet" option. You will get the most preferred level<br />

on either Power or Fuel Economy, but not both. Alternative B is the<br />

"all or nothing" alternative. You will get the most preferred level<br />

on both measures with probability P or the least preferred level on<br />

both measures with probability (1-P).<br />

The discussion above about the interactions between Power and<br />

Fuel Economy gives us a clue about how to answer the question.<br />

Since we are looking for both Fuel Economy and Power and since<br />

for alternative A, one of these measures is guaranteed to have its<br />

least preferred level, neither of the possibilities in alternative A<br />

may look very attractive.<br />

On the other hand, although alternative B has a 50 percent chance<br />

(as a default) of having the least preferred level on both measures,<br />

it also has a 50 percent chance of getting the most preferred level<br />

on both measures. Since the most preferred part of alternative B<br />

is the only one of the four possibilities that looks attractive, you<br />

will pick alternative B when P = 50 percent.<br />

The question on the screen is asking you to choose a particular<br />

probability for B that makes alternatives A and B equally<br />

preferred. In the probability assessment method, Ps less than 50<br />

Section 5 -- Advanced Tutorial 5-17

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