Question
An investor has one of three options from which to choose; do A, do B, or do nothing. There are three states of nature. The
An investor has one of three options from which to choose; do A, do B, or do nothing. There are three states of nature. The payoff table in terms of profit is:
States of world | |||
Option | S1 | S2 | S3 |
A | 30,000 | 20,000 | Minus 50,000 |
B | 50,000 | Minus 20,000 | Minus 40,000 |
Do nothing | 0 | 0 | 0 |
a-for each decision show the numbers you use when using an optimistic approach of choosing which one item to do and indicate which is best by this method.
b- for each decision show the numbers you use when using a conservative approach of choosing which one item to do and indicate which is best by this method.
c-show the numbers you use in a new table using the minimax regret method of choosing which one item to do and indicate which item is best by this method.
d-What is the expected value of each option when the probability of S1, s2, and S3, are, respectively, .3, .5, and .2. What is the best option under the expected value approach?
e-show the calculations you would make to determine the expected value of perfect information.
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