Pokémon Battles as a Context for Mathematical Modeling

W. McGuffey
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Abstract

In this article I explore some of the underlying mathematics of Pokemon 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 Pokemon 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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口袋妖怪战斗作为数学建模的背景
在这篇文章中,我探索了口袋妖怪战斗的一些基本数学,并描述了中学教师在这种背景下探索数学博弈论概念的方法。我讨论了使用博弈论表示和分析口袋妖怪战斗的各种方法,并以应用期望值概念和求解线性方程组来寻找混合策略纳什均衡的例子作为结论。
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5
审稿时长
16 weeks
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