Question

Find the Nash equilibria of the games.

X Y X Y Z 0,4 U 2,0 1,1 3,3 3,3 M 3,4 1,2 2,3 | 0,2 3,0 (b) Y Z 5,1 0,2 U 8,6 8,2 M 0,1 4,6 6,0 M 1,0 2,6 5,1 2,1 3,5 2,8 2,8 0,8 4,4 х 0,0 8,10 4,1 3,10 4,1 B 0,0 3,3 6,4 8,5 6,4 8,5

Answer 1

When the players don't have any incentive to move from their first strategy, the resulting outcome of the game is its Nash equilibrium. It is considered as the optimal outcome of the game.By changing the strategy the player doesn't attain any benefit.

a) The game do not have a Nash equilibrium

b) The Nash equilibrium _ (4, 2), (3,4)

c) The Nash equilibrium _ (6,3)

d) The Nash equilibrium _ (8,6), (2,6)

e) The Nash equilibrium _ (2,2) ,(3,3)

f) The Nash equilibrium _ (8,10), (8,5)