Exercise 3. Consider the following game in normal form. L R U 4, 4 D6, 1-3, -3 1, 6 (a) Find all the Nash equilibria of this game. (b) Show that the following probability measure is a correlated equilibrium of this game. L R 1 D !0 4 (c) Show that the following probability measure is a correlated equilibrium of this game. L R U0? D 2 1 (d) Plot the payoff profile of each equilibrium in (a)-(c) above. Are the payoff profiles in (b) and (c) inside or outside the convex hull of NE payoffs?
Exercise 3. Consider the following game in normal form. L R U 4, 4 D6, 1-3, -3 1, 6 (a) Find all the Nash equilibria of this game. (b) Show that the following probability measure is a correlated equilibrium of this game. L R 1 D !0 4 (c) Show that the following probability measure is a correlated equilibrium of this game. L R U0? D 2 1 (d) Plot the payoff profile of each equilibrium in (a)-(c) above. Are the payoff profiles in (b) and (c) inside or outside the convex hull of NE payoffs?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![Exercise 3. Consider the following game in normal form.
L
R
U 4, 4
1, 6
D6, 1-3, -3
(a) Find all the Nash equilibria of this game. (b) Show that the following probability measure
is a correlated equilibrium of this game.
L R
U
1
1
4
(c) Show that the following probability measure is a correlated equilibrium of this game.
L R
U0
D
(d) Plot the payoff profile of each equilibrium in (a)-(c) above. Are the payoff profiles in (b)
and (c) inside or outside the convex hull of NE payoffs?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99826957-0efc-45cc-8371-d3bd6321e7ea%2F7074c522-c1f6-42dc-98ff-c8c368463fce%2F729s859_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 3. Consider the following game in normal form.
L
R
U 4, 4
1, 6
D6, 1-3, -3
(a) Find all the Nash equilibria of this game. (b) Show that the following probability measure
is a correlated equilibrium of this game.
L R
U
1
1
4
(c) Show that the following probability measure is a correlated equilibrium of this game.
L R
U0
D
(d) Plot the payoff profile of each equilibrium in (a)-(c) above. Are the payoff profiles in (b)
and (c) inside or outside the convex hull of NE payoffs?
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