Economic game theory.

Consider the following game of asymmetric matching pennies 1. Find the unique mixed strategy equilibrium of this game. How do you know it is unique? Consider the augmented game: T 2,2 1,1 0,1/2 2. Suppose a = 0. Find one Nash equilibrium (pure or mixed) of this game. Is it unique? 3. Suppose a = 1. Find the set of (pure or mixed) Nash outcomes. You may take for granted that there is no mixed strategy equilibrium where player 2 mixes between all 3 of her actions