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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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

 

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

 

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