he buzzer rings. Two wrestlers in the midst of an intense match take a pause from their
competition with each other after the two minutes of the first period have expired. They look up
to the referee to receive instructions about who will have the opportunity to choose the position
at the start of the next period. One of the wrestlers is picked after a coin toss and asked by the
referee “Top, Bottom, Neutral, or Defer?” In turn, he turns to his coach for guidance on which
position he should select. For all the astute advice the coach may be able to give him at the time
of this decision, the wrestler would be well-suited to ask a game theorist as well what the optimal
strategy for him would be to maximize his payoff in the match. This thesis analyzes the moment
of time when a wrestler faces his positioning choice in a match through the lens of game theory,
dynamic programming, and statistical analysis. The factors shaping this decision and the
outcomes directly emanating from it allow for the creation of a model that effectively evaluates
what is the best position to choose based on the score and time remaining in the match.
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