2)(10) Consider the following game. Player 1 has two strategies: Up and Down, and Player 2 has 3 strategies Left, Centre and Right. The payoff matrix is given below: (The game is simultaneous)

Player 2

L C R

Player 1 U 1,0 1,2 0,1

D 0.3 0,1 2,0

a)Do either player have any dominant strategies? Explain why or why not?

b)Do either player have a strictly dominated strategy? If so, what? If not, why not. If the answer is Yes, reduce the game by deleting strictly dominated strategies.

c)What is the Nash equilibrium of this game?