Games without Chance: Combinatorial Game Theory

所在平台: Coursera

课程主页: https://www.coursera.org/learn/combinatorial-game-theory

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课程简介

课程名称：没有机会的游戏：组合博弈论 课程概述：本课程将涵盖简单没有机会移动的游戏的数学理论与分析。 课程大纲： 第1周：什么是组合博弈？ 本周的主题是游戏体验：学生将学习什么是组合博弈，并进行简单游戏的玩法。 第2周：多局游戏 本周的主题是同时进行多个游戏、游戏的相加及游戏的相反。学生将能够对简单游戏进行相加并进行分析。 第3周：比较游戏 本周的主题是比较游戏。学生将运用不等式来确定简单游戏和的结果。 第4周：数字与游戏 本周的主题是简单性与数字。学习如何玩胜利数字。学生将能够确定哪些游戏对应于数字，并找出它们是哪些数字。 第5周：简化游戏 本周的主题是游戏的简化：主导移动和可逆移动。学生将能够简化简单的游戏。 第6周：无偏游戏 本周的主题是尼姆游戏：学生将能够玩和分析无偏游戏。 第7周：资源 本周将提供相关的学习资源和参考资料。

课程大纲

Part: 1

Title:Week 1: What is a Combinatorial Game?

Description:Hello and welcome to Games Without Chance: Combinatorial Game Theory! The topic for this first week is Let's play a game: Students will learn what a combinatorial game is, and play simple games.

Part: 2

Title:Week 2: Playing Multiple Games

Description:The topics for this second week is Playing several games at once, adding games, the negative of a game. Student will be able to add simple games and analyze them.

Part: 3

Title:Week 3: Comparing Games

Description:The topics for this third week is Comparing games. Students will determine the outcome of simple sums of games using inequalities.

Part: 4

Title:Week 4: Numbers and Games

Description:The topics for this fourth week is Simplicity and numbers. How to play win numbers. Students will be able to determine which games are numbers and if so what numbers they are.

Part: 5

Title:Week 5: Simplifying Games

Description:The topics for this fifth week is Simplifying games: Dominating moves, reversible moves. Students will be able to simplify simple games.

Part: 6

Title:Week 6: Impartial Games

Description:The topics for this sixth week is Nim: Students will be able to play and analyze impartial games.

Part: 7

Title:Resources

Description:

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