6. p= ($20, 0.4; $40, 0.6). Use a concave utility function to graphically illustrate each of the following: a. Show that EU(p) > EU(q) where q is a mean-preserving spread of p. (Note: This will work for any lottery q. Choose one to illustrate.) b. Show that EU(r) > EU(p) where r is a non mean-preserving spread of p. (Note: This won't work for all lotteries r. Find one that does work.)

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter15: Decision Analysis
Section: Chapter Questions
Problem 24P: Translate the following monetary payoffs into utilities for a decision maker whose utility function...
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6. p= ($20, 0.4; $40, 0.6). Use a concave utility function to graphically illustrate
each of the following:
a. Show that EU(p) > EU(q) where q is a mean-preserving spread of p.
(Note: This will work for any lottery q. Choose one to illustrate.)
b. Show that EU(r) > EU(p) where r is a non mean-preserving spread of p.
(Note: This won't work for all lotteries r. Find one that does work.)
Transcribed Image Text:6. p= ($20, 0.4; $40, 0.6). Use a concave utility function to graphically illustrate each of the following: a. Show that EU(p) > EU(q) where q is a mean-preserving spread of p. (Note: This will work for any lottery q. Choose one to illustrate.) b. Show that EU(r) > EU(p) where r is a non mean-preserving spread of p. (Note: This won't work for all lotteries r. Find one that does work.)
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