口袋妖怪战斗作为数学建模的背景

Journal of Mathematics Education at Teachers College Pub Date : 2017-05-17 DOI:10.7916/JMETC.V8I1.798

W. McGuffey

{"title":"口袋妖怪战斗作为数学建模的背景","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":"{\"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}","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

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Pokémon Battles as a Context for Mathematical Modeling

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematics Education at Teachers College

自引率

0.00%

发文量

审稿时长

16 weeks