L R U 4, 4 1, 5 D5, 1 0, 0 6. ) Find all the Nash equilibria of this game. (b) Show that the following probability measure a correlated equilibrium of this game. L R U|1 1 3 3 3 ) Show that the following probability measure is a correlated equilibrium of this game. L R U0 1 3 D 1 3 3 ) Plot the payoff profile of each equilibrium in (a)-(c) above. Are the payoff profiles in (b) d (c) inside or outside the convex hull of NE payoffs?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Exercise 2. Consider the following game in normal form.
L
R
U 4, 4 1, 5
6.
D 5, 1 0, 0
(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
3
3
D 1
(c) Show that the following probability measure is a correlated equilibrium of this game.
L R
U 0
3
1
1
3
1
D
3
(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 2. Consider the following game in normal form. L R U 4, 4 1, 5 6. D 5, 1 0, 0 (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 3 3 D 1 (c) Show that the following probability measure is a correlated equilibrium of this game. L R U 0 3 1 1 3 1 D 3 (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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