Researcher ORCID Identifier

Graduation Year


Date of Submission


Document Type

Campus Only Senior Thesis

Degree Name

Bachelor of Arts



Reader 1

Dr. Sarah Cannon

Rights Information

2021 Brandon T Mitchell


Baseball is one of the most statistically analyzed sports, simply due to the substantial amount of data that is tracked and recorded. In recent years, researchers have been combining technology and math to aid in development of players, such as bat path tracking and pitch recognition, among others. Without the need for specialized equipment and the availability of public data, we can build an intersection of baseball and mathematics. We construct a Markov chain model and build a baseball game simulation based on that model in order to find a new way to maximize our team's ability. Using random walks and Markov chains, we construct a are able to build the best lineup possible to maximize the average number of runs per game.

This thesis is restricted to the Claremont Colleges current faculty, students, and staff.