Suppose that a decision is faced with three decision alternatives and four states of nature. The following profit payoff table is constructed: Alternatives State of Nature S1 S2 S3 S4 Α1 18 12 15 8 Α2 15 14 10 11 13 16 19 15 Α3 Assuming that the decision maker has no knowledge about the probabilities of occurrence of the four states of nature, find the decisions to be recommended under each of the following criteria: i. Maximin criterion ii. Maximax criterion iii. Minimax Reject criterion
Suppose that a decision is faced with three decision alternatives and four states of nature. The following profit payoff table is constructed: Alternatives State of Nature S1 S2 S3 S4 Α1 18 12 15 8 Α2 15 14 10 11 13 16 19 15 Α3 Assuming that the decision maker has no knowledge about the probabilities of occurrence of the four states of nature, find the decisions to be recommended under each of the following criteria: i. Maximin criterion ii. Maximax criterion iii. Minimax Reject criterion
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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- Suppose that a decision is faced with three decision alternatives and four states of nature. The following profit payoff table is constructed:
Alternatives |
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State of Nature |
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S1 |
S2 |
S3 |
S4 |
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Α1 |
18 |
12 |
15 |
8 |
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Α2 |
15 |
14 |
10 |
11 |
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13 |
16 |
19 |
15 |
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Α3 |
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Assuming that the decision maker has no knowledge about the probabilities of occurrence of the four states of nature, find the decisions to be recommended under each of the following criteria:
i. |
Maximin criterion |
|
ii. |
Maximax criterion |
|
iii. |
Minimax Reject criterion |
|
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