Abstract
Game Theory is a field of mathematics concerned with the analysis of strategies for dealing with competitive situations. Game Theory can be applied to any situation and contains many theorems and properties, such as Nash Equilibrium and The Minimax Theorem, which are used to solve games in matrix form. In addition, the goal of Game Theory is to teach one how to make the best decision possible given certain information. Game Theory lends itself to be applicable for any environment and can be used in a multitude of ways. I use Game Theory to explore baseball situations, specifically with the relationship between a hitter and a pitcher. In this study, I examine specific pitch counts and how each player should approach those counts using the ideas and principles of Game Theory.
Advisor
Wooster, Robert
Department
Mathematics
Recommended Citation
Vernier, Ian M., "The Mental Game: An Analysis of Game Theory and Baseball" (2015). Senior Independent Study Theses. Paper 6813.
https://openworks.wooster.edu/independentstudy/6813
Publication Date
2015
Degree Granted
Bachelor of Arts
Document Type
Senior Independent Study Thesis
© Copyright 2015 Ian M. Vernier