Consider a baseball game between the pitcher and batter. Assume the pitcher has two pitches: a fastball and a change-up. The change-up is a slower pitch that would be easy to hit if the batter knew it was coming. But, if the batter is expecting a fastball, the change-up pitch may fool him. The batter can hit the fastball, assuming that he swings early enough. Further assume there is only one pitch. The matrix is Pitcher
Batter Fastball Change-Up
Fastball 10, -12 -5,3
Change-Up -5,3 5, -7
Find the Nash equilibrium for this game.