In Problem 28, if P(s1) = 0.25, P(s2) = 0.50, and P(s3) = 0.25, find a recommended decision for each of the three decision makers. (For the same decision problem, different utilities can lead to different decisions.)

In Problem 28

Three decision makers have assessed utilities for the following decision problem (payoff in dollars):

The indifference probabilities are as follows:

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State of Nature Decision Alternative di d2 S1 20 80 53 -20 -100 82 50 100 Payoff 100 80 50 20 -20 - 100 Decision Maker A 1.00 0.95 0.90 0.70 0.50 0.00 Indifference Probability (p) Decision Maker B 1.00 0.70 0.60 0.45 0.25 0.00 Decision Maker C 1.00 0.90 0.75 0.60 0.40 0.00