Game theory is a relatively new field of mathematics that explores analysis of strategic decision-making in competitive situations. Game theory primarily focuses on finding optimal actions for anyone involved, and these actions present themselves as probability distributions over many different possible simple actions. It can be applied to many different fields of study, but this research applies it strictly to shootouts in the National Hockey League, a typical one-on-one competitive situation that Game Theory can be used to analyze. This study uses the ideas of The Minimax Theorem and The Equilibrium Theorem to build feasible games that can represent shootouts and compares the results of this construction to what we would expect from real life situations.
Giegold, Jeffrey W., "Shooters vs Goalies: Analyzing Shootouts in the NHL with Game Theory" (2016). Senior Independent Study Theses. Paper 7121.
Bachelor of Arts
Senior Independent Study Thesis
© Copyright 2016 Jeffrey W. Giegold