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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
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?
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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