2) Three decision makers have assessed utilities for the problem whose payoff table appears below. s1 s2 s3 d1 500 100 -400 d2 200 150 100 d3 -100 200 300 probabil ity .2 .6 .2 Indifference Probability for Person Payoff A B C 300 .95 .68 .45 200 .94 .64 .32 150 .91 .62 .28 100 .89 .60 .22 -100 .75 .45 .10 a. Plot the utility function for each decision maker. b. Characterize each decision maker's attitude toward risk. c. Which decision will each person prefer?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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2) Three decision makers have assessed utilities for the problem whose payoff table appears below. s1 s2 s3 d1 500 100 -400 d2 200 150 100 d3 -100 200 300 probabil ity .2 .6 .2 Indifference Probability for Person Payoff A B C 300 .95 .68 .45 200 .94 .64 .32 150 .91 .62 .28 100 .89 .60 .22 -100 .75 .45 .10 a. Plot the utility function for each decision maker. b. Characterize each decision maker's attitude toward risk. c. Which decision will each person prefer?
2) Three decision makers have assessed utilities for the problem whose payoff table
appears below.
S1
S2
S3
d1
d2
500
100
-400
200
150
100
d3
probabil
ity
-100
200
300
.2
.6
.2
Indifference Probability for Person
Payoff
A
B
300
.95
.68
.45
200
.94
.64
.32
150
.91
.62
.28
100
.89
.60
22
-100
.75
.45
.10
а.
Plot the utility function for each decision maker.
b.
Characterize each decision maker's attitude toward risk.
C.
Which decision will each person prefer?
Transcribed Image Text:2) Three decision makers have assessed utilities for the problem whose payoff table appears below. S1 S2 S3 d1 d2 500 100 -400 200 150 100 d3 probabil ity -100 200 300 .2 .6 .2 Indifference Probability for Person Payoff A B 300 .95 .68 .45 200 .94 .64 .32 150 .91 .62 .28 100 .89 .60 22 -100 .75 .45 .10 а. Plot the utility function for each decision maker. b. Characterize each decision maker's attitude toward risk. C. Which decision will each person prefer?
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