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

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
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8) 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?

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