6) For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35. S1 S2 S3 D1 -5000 1000 10,000 D2 -15,000 -2000 40,000 What alternative would be chosen according to expected value?
6) For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) = .35. S1 S2 S3 D1 -5000 1000 10,000 D2 -15,000 -2000 40,000 What alternative would be chosen according to expected value?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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6) For the payoff table below, the decision maker will use P(s1) = .15, P(s2) = .5, and P(s3) =
.35.
|
S1 |
S2 |
S3 |
D1 |
-5000 |
1000 |
10,000 |
D2 |
-15,000 |
-2000 |
40,000 |
What alternative would be chosen according to expected value?
b. For a lottery having a payoff of 40,000 with probability p and -15,000 with
probability (1-p), the decision maker expressed the following indifference
probabilities.
Payoff Probability
10,000 .85
1000 .60
-2000 .53
-5000 .50
Let U(40,000) = 10 and U(-15,000) = 0 and find the utility value for each payoff.
c. What alternative would be chosen according to expected utility?
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