Erie High School – Game Theory and Applied Probability(Semester long course)
Apr 2026 · 2nd Semester
In this course students will investigate optimal strategies in combinatorial games, analyze combinatorial games using graph theory, and use Markov chains to calculate the expected value of a winning a game after a certain number of moves. Topics include impartial combinatorial games, introduction to graph theory, strategic thinking, payoff matrices, and matrix algebra. Examples will be drawn from games such as Nim, chess, and the Prisoner’s Dilemma, as well as real world situations including using graph theory to schedule tournaments, and using matrices to calculate the probability of winning an NFL game in overtime.
Prerequisites: C or Higher in Algebra 2 is recommended.
Grades: 12
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