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(This problem is similar to problem 4.0.3 in notes). Suppose that a decision maker faced with four decision alternatives and four states of nature develops
- (This problem is similar to problem 4.0.3 in notes). Suppose that a decision maker faced with four decision alternatives and four states of nature develops the following profit payoff table:
| State of Nature | ||||
s1 | s2 | s3 | s4 | ||
Decision Alternative | d1 | 11 | 13 | 10 | 11 |
d2 | 9 | 10 | 12 | 10 | |
d3 | 12 | 10 | 13 | 9 | |
d4 | 8 | 9 | 14 | 13 |
- If the decision maker knows nothing about the probabilities of the fours states of nature1 what is the recommended decision using the optimistic1 conservative1 and minimax regret approaches?
- Which approach do you prefer? Explain. Is establishing the most appropriate approach before analyzing the problem important for the decision maker? Explain.
- Assume that the payoff table provides cost rather than profit payoffs. What is the recommended decision using the optimistic1 conservative1 and minimax regret approaches?
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