For each situation, find the decisions using: • the optimistic approach • the conservative approach • The minimax regret approach
For each situation, find the decisions using: • the optimistic approach • the conservative approach • The minimax regret approach
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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
Transcribed Image Text:For each situation, find the decisions using:
- The optimistic approach
- The conservative approach
- The minimax regret approach
**A, B, C, and D are states of nature. X, Y, Z, and Q are decision alternatives.**
**Situation 1:**
```
A B
X 10 -9
Y 7 14
Z -2 6
```
**Situation 2:**
```
A B C
X 10 -3 -7
Y -7 13 5
Z 6 -6 9
```
Explanation:
- **Optimistic Approach**: Selects the decision with the highest possible payoff.
- **Conservative Approach**: Selects the decision with the highest minimum payoff to guard against the worst-case scenario.
- **Minimax Regret**: Involves constructing a regret table based on the payoffs and then selecting the decision with the minimum of the maximum regrets.
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