A payoff table is given as     s1 s2 s3 d1 250 450 500 d2 300 -250 900 d3 400 500 800   In each part of your answer, show the work you relied upon to reach your answer. What decision should be made using expected value, in which the probabilities are s1=.3, s2=.2, s3=.5? What decision should be made by the conservative decision-maker? What choice should be made using the Hurwicz method, in which the coefficient of optimism (or realism) is .6? (hint: ignore the middle state of nature in performing the calculation).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 1P
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A payoff table is given as

 

 

s1

s2

s3

d1

250

450

500

d2

300

-250

900

d3

400

500

800

 

In each part of your answer, show the work you relied upon to reach your answer.

  1. What decision should be made using expected value, in which the probabilities are s1=.3, s2=.2, s3=.5?
  2. What decision should be made by the conservative decision-maker?
  3. What choice should be made using the Hurwicz method, in which the coefficient of optimism (or realism) is .6? (hint: ignore the middle state of nature in performing the calculation). 

 

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