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3. In baseball, the batter has an advantage when he has the opposite handedness from the pitcher (e.g., a left-handed batter holds an advantage when
3. In baseball, the batter has an advantage when he has the opposite handedness from the pitcher (e.g., a left-handed batter holds an advantage when facing a right-handed pitcher). There are four possible matchups between a batter and a pitcher in baseball: A right-handed batter faces a right-handed pitcher, a right-handed batter faces a left-handed pitcher, a left-handed batter faces a right-handed pitcher, and a left-handed batter faces a left-handed pitcher. We will measure the payoffs for batters using On-base Plus Slugging (OPS) (the higher the better). We will measure the payoffs for pitchers using (1 - Walks-Hits per plate appearance). (Again, the higher the better. A payoff of 1 to the pitcher is never giving up a hit or a walk. A payoff of 0 to the pitcher is always letting the batter reach base.) The payoffs are recorded in the payoff matrix below: Pitcher(1- WHPA) L R Batter (OPS) L (0.720, 0.700) (0.775, 0.6791) R (0.787, 0.678) (0.735, 0.702) (a) Determine the equilibrium outcome
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