Pokémon Battles as a Context for Mathematical Modeling

William McGuffey

Abstract


In this article I explore some of the underlying mathematics of Pokémon battles and describe ways that teachers at the secondary level could explore concepts of mathematical game theory in this context. I discuss various ways of representing and analyzing a Pokémon battle using game theory and conclude with an example of applying concepts of expected value and solving systems of linear equations to find a mixed-strategy Nash equilibrium.


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