Consider the following game: L C R

T 3, 1 a, 3 0, 4

M 1, b 2, 0 1, 1

B c, 2 4, 1 2, d

(a) For a = 5, b = 2, c = 4, d = 3 find the pure and mixed Nash equilibria

(b) For what values of a, b, c and d does this game have a dominant strategy equilibrium?

(c) For what values of a, b, c and d does this game have a mixed strategy equilibrium in which player 1 plays only T and M with positive probabilities and player 2 plays only L and R with positive probabilities?