1. If the decision-maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the MAXIMAX criterion? 2. What decision alternative will he choose if using the MAXIMIN criterion? 3. What about MINIMAX REGRET CRITERION?

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Supposed that a decision-maker faced with four decision alternatives and four states of nature develops the following profit payoff table.

1. If the decision-maker knows nothing about the probabilities of the four states of nature, what is the recommended decision using the MAXIMAX criterion?
2. What decision alternative will he choose if using the MAXIMIN criterion?
3. What about MINIMAX REGRET CRITERION?
4. What decision would he make if using the criterion of realism at alpha 0.6 is used?

DECISION
ALTERNATIVE
DI
D2
D3
D4
S1
10
8
10
11
STATE OF NATURE
S3
14
11
9
8
S2
9
10
으으으
10
10
S4
5
7
11
14
Transcribed Image Text:DECISION ALTERNATIVE DI D2 D3 D4 S1 10 8 10 11 STATE OF NATURE S3 14 11 9 8 S2 9 10 으으으 10 10 S4 5 7 11 14
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