PART B : DECISION MAKING UNDER RISK
EMV :- EXPECTED MONETARY VALUE 
or EXPECTED PAY OFF 
VVV IMP
EX 1 FIND THE OPTIMAL DECISION BY EMV METHOD
PAY OFF MATRIX
Course of Action State of Nature
Alternative S1 S2 S3
A1 25 85 95
A2 40 0 60
A3 65 30 55
Probability 0.3 0.5 0.2 1
EXPECTED PAY OFF MATRIX
Course of Action State of Nature
Alternative S1 S2 S3 EMV
A1 7.5 42.5 19 69
A2 12 0 12 24
A3 19.5 15 11 45.5
MAX= 69
OPTIMAL DECISION IS TO SELECT A1 BY EMV CRITERIA
EX 2 FIND THE BEST DECISION BY EMV METHOD
PAY OFF MATRIX
Course of Action State of Nature  
Alternative S1 S2 S3 S4
A1 35 100 38 75
A2 58 95 105 55
A3 45 30 91 100
PROB 0.2 0.3 0.4 0.1
SOLUTION
EXPECTED PAY OFF TABLE 
Course of Action State of Nature  
Alternative S1 S2 S3 S4 EMV
A1 7 30 15.2 7.5 59.7
A2 11.6 28.5 42 5.5 87.6
A3 9 9 36.4 10 64.4
          MAX = 87.6
BEST DECISION IS TO SELECT A2 BY EMV CRITERIA
EX 3 FIND THE OPTIMAL DECISION BY EMV METHOD
Course of Action State of Nature  
Altenative S1 S2 S3 S4
A1 25 30 150 80
A2 45 120 50 130
A3 60 100 0 -10
A4 40 60 65 25
PROBABILITY 0.2 0.2 0.1 0.5
  EXPECTED PAY OFF TABLE         
Course of Action State of Nature          
Altenative S1 S2 S3 S4 EMV  
A1 5 6 15 40 66  
A2 9 24 5 65 103
A3 12 20 0 -5 27
A4 8 12 6.5 12.5 39
MAX =103
OPTIMAL DECISION IS TO SELECT ALTERNATIVE A2 BY EMV CRITERIA
Ex 4 :  FIND THE BEST DECISION USING EMV CRITERION
  PAY OFF MATRIX  
EVENTS A1 A2 A3 PROB
E1 25 -125 -10 0.6 event and state of nature is same
E2 400 400 440 0.4
E3 650 750 740 0.1
       
       
  PAY OFF MATRIX
       
    EVENTS  
ALTERNATIVES E1 E2 E3
A1 25 400 650
A2 -125 400 750
A3 -10 440 740
PROB 0.5 0.4 0.1
  EXPECTED PAY OFF TABLE   
EVENTS E1 E2 E3 EMV
A1 12.5 160 65 237.5
A2 -62.5 160 75 172.5
A3 -5 176 74 245
MAX = 245
BEST DECISION IS TO CHOOSE A3 BY EMV CRITERIA
ASSIGNMENT 3
PAGE NO 302
EXERCISE 
PROBLEMS 6 TO 11 
ASSIGNMENT 4
PAGE NO 316
EXERCISE 
PROBLEMS 15 TO 20 YOU ALL TRY EMV
EOL : EXPECTED OPPURTUNITY LOSS
Ex : For the following conditional pay-off table , select best decision using EOL criteria
PAY OFF MATRIX
    EVENTS  
ALTERNATIVES E1 E2 E3
A1 80 60 110
A2 40 0 50
A3 100 -20 70
PROB 0.3 0.2 0.5
       
STEP 1
REGRET MATRIX
    EVENTS  
ALTERNATIVES E1 E2 E3
A1 20 0 0
A2 60 60 60
A3 0 80 40
PROB 0.3 0.2 0.5
       
STEP 2
EXPECTED OPPORTUNITY LOSS TABLE 
    EVENTS  
ALTERNATIVES E1 E2 E3 EOL
A1 6 0 0 6
A2 18 12 30 60
A3 0 16 20 36
MINIMUM = 6
BEST DECISION IS TO CHOOSE A1 BY EOL CRITERIA
DIV D