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Abstract Baseball players and their managers make numerous decisions that can have a significant effect on the result of the game. The effectiveness of their decision-making strategies depend on the strategies played by their opponents. For example, throwing a first-pitch fastball down the middle is a good strategy against a hitter who always takes the first pitch, but it is a risky strategy against a hitter who likes to swing at the first pitch and who is good at hitting fastballs.
Abstract This paper presents a game theoretical solution to the difficult challenge of optimal pitch sequencing. We model the batter/pitcher matchup as a zero-sum game and determine the equilibrium strategy for both the pitcher and batter. We conclude that the Stackelberg equilibrium and our newly defined decision point equilibrium serve as effective pitch sequencing strategies.
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