2. The game-theoretic descriptions of interactions between batters and pitchers in baseball used in the exercises of this chapter are simplified. The original cover of Boston Red Sox legend Ted Williams’s The Science of Hitting included Williams’s batting average for different regions of the strike zone; for current players, this information is available on ESPN’s website through their game tracker, where it is possible to follow Major League Baseball games while they are being played. Can you use batting average information to better model the batter- versus-pitcher game by including pitch location (and the batter’s guess of location)?