Find all the pure-strategy Nash equilibria of the following game known as the "Prisoner's Dilemma".
Cooperate Defect
Cooperate 5,5 0, 6
Defect 6, 0 1, 1
Now consider the following game, known as "Matching Pennies".
Heads Tails
Heads 1, -1 -1, 1
Tails -1, 1 1, -1
Identify all of the pure-strategy Nash Equilibria of this game. Identify at least one mixed-strategy Nash Equilibrium, and show that it is a Nash Equilibrium.