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Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature 51, 52, and 53

Accounting Dec 16, 2020

Consider the following payoff table that represents the profits earned for each alternative (A, B, and C) under the states of nature 51, 52, and 53. 
51 52 53 A $60 $145 $120 B $75 $125 $110 C $95 $85 $130 
Using the criterion of realism (Hurwicz criterion) and an alpha value of 0.7, what would be the highest expected payoff in $ value? 
 

Expert Solution

Computation of Highest Expected Payoff in $ Value:

Criterion of Realism = Alpha*(Max Value in Row)+(1-Alpha)*Lowest Value in Row

 

For A:

Criterion of Realism = 0.7*($145)+(1-0.7)*$60 = $119.50

 

For B:

Criterion of Realism = 0.7*($125)+(1-0.7)*$75 = $110

 

For C:

Criterion of Realism = 0.7*($130)+(1-0.7)*$85 = $116.50

 

Highest Expected Payoff is from A. So, Highest Expected Payoff is $119.50

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