{"title":"Pokémon Battles as a Context for Mathematical Modeling","authors":"W. McGuffey","doi":"10.7916/JMETC.V8I1.798","DOIUrl":null,"url":null,"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.","PeriodicalId":30179,"journal":{"name":"Journal of Mathematics Education at Teachers College","volume":"8 1","pages":"1-6"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics Education at Teachers College","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7916/JMETC.V8I1.798","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.