A Game Theoretical Approach to Optimal Pitch Sequencing

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William Melville, Jesse Melville, Theo Dawson, Delma Nieves-Rivera, Christopher Archibald, David Grimsman


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.