Monthly Archives: August 2012

Combinatorial Game Theory IV

Lesson 4 In this lesson, we will work on a large class of games, known as take-and-break games. First consider a simple example. Kayles Kayles is an example of a take-and-break game: Start with a few heaps of contiguous bottles, … Continue reading

Posted in Notes | Tagged , , , , | 1 Comment

Combinatorial Game Theory III

Lesson 3 We’ve learnt Nim and we’ve learnt the Square Game. Now, let’s combine them and consider the following game, which we shall name┬áNim Square. Start with r heaps of stones, of sizes . Play alternates between two players: at … Continue reading

Posted in Notes | Tagged , , , , , | Leave a comment

Combinatorial Game Theory II

Lesson 2 In this lesson, we will focus on a special type of game called Nim. Although it’s only one out of infinitely many possible games, understanding it in depth will be very beneficial in analysing a much larger class … Continue reading

Posted in Notes | Tagged , , , , , | Leave a comment

Combinatorial Game Theory I

[ Prerequisites required: none for now. ] In the middle of 2000, I was waiting to go to graduate school and had a bit of free time on my hands. So I decided to prepare a website which teaches combinatorial … Continue reading

Posted in Notes | Tagged , , , , | 2 Comments