6. An analyst is assessing a DM's utility function for profit Y, in dollars, ranging from -400,000 to 2,000,000, and wishes to use a function: U(Y) = Y+400,000 0,000 2,400,000 B " -400,000 ≤ y ≤ 2,000,000 She determined that the DM is indifferent between Alternative A and Alternative B: Alternative A: Probability 0.5 of making profit $2,000,000 Probability 0.5 of making profit -$400,000 Alternative B: Probability 1.0 of making profit of $800,000 (a) What would you use for the DM's utility function? Show your work. (b) Why could you use Expected Value when analyzing problems involving profi for this DM?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.8P
icon
Related questions
Question
6. An analyst is assessing a DM's utility function for profit Y, in dollars, ranging from
-400,000 to 2,000,000, and wishes to use a function:
U(Y) :
=
Y+400,000 B
2,400,000
9
-400,000 ≤ y ≤ 2,000,000
She determined that the DM is indifferent between Alternative A and Alternative B:
Alternative A: Probability 0.5 of making profit $2,000,000
Probability 0.5 of making profit -$400,000
Alternative B: Probability 1.0 of making profit of $800,000
(a) What would you use for the DM's utility function? Show your work.
6
(b) Why could you use Expected Value when analyzing problems involving profit
for this DM?
Transcribed Image Text:6. An analyst is assessing a DM's utility function for profit Y, in dollars, ranging from -400,000 to 2,000,000, and wishes to use a function: U(Y) : = Y+400,000 B 2,400,000 9 -400,000 ≤ y ≤ 2,000,000 She determined that the DM is indifferent between Alternative A and Alternative B: Alternative A: Probability 0.5 of making profit $2,000,000 Probability 0.5 of making profit -$400,000 Alternative B: Probability 1.0 of making profit of $800,000 (a) What would you use for the DM's utility function? Show your work. 6 (b) Why could you use Expected Value when analyzing problems involving profit for this DM?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Expected Utility
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage