When it comes to learning game theory, math books on the topic can be very helpful. While at its core this theory is simply the study of competitive models in uncertain situations, there are a lot of aspects to understand. There are many books out there that can help teach you about this theory. This is why it is helpful to know a few things about some of the best ones you can buy.
1. Game Theory: A Nontechnical Introduction
If you are new to this concept, then it is good to start from the beginning. You want to understand the basics and learn the terminology you will need as well as the basic concept. This is what this book offers to readers. You can buy it in both paperback and Kindle form.
2. Game Theory and Strategy
The main focus of this book is the application of game theory within various disciplines. This book can also help to introduce you to axiomatic mathematical thinking. It can also help you to understand the basic fundamentals of mathematical modeling.
3. A Beautiful Math: John Nash, Game Theory and the Modern Quest for a Code of Nature
This is a book based on the life of John Nash, the main character in the movie A Beautiful Mind. However, this does more than just look at his life and mathematical accomplishments. Rather it looks at Game Theory and the potential uses for it in life.
4. Mathematics and Chess
While this is an introductory level book on the matter it can help you to see game theory in a better application as it is used for chess. Not only does it give you an explanation for how this works but there are over 99 puzzles that you can use to put your knowledge of this theory to work
5. Beginning Math and Physics for Game Programmers
While this is aimed at using game theory for programming video games, it does not mean that there is any less valuable information. For many, this is the main reason why they seek to learn game theory. Even if it is not you will find that you gain a better understanding of how video game programming works as well as a better understanding of game theory.
6. 3D Math Primer for Graphics and Game Development
This book is designed specifically for people who use their knowledge of game theory for video game programming and graphics for other purposes. In order to really understand this book you will need to have a working knowledge of C++. Otherwise you will find this to be difficult to comprehend.
7. The Tower of Hanoi- Myths and Maths
This is the first book to be written on the game theory of the game Tower of Hanoi. This goes into the numerical sequences needed in this game as well as the different numerical experiments that have been conducted on this. There are also pictures throughout to make it easier to understand.
8. Game Theoretic Problems in Network Economics and Mechanism Design Solutions (Advanced Information and Knowledge Processing)
This book takes an interesting look at game theory as no other book out there does. It uses this theory to apply it to network economics. This book talks about the creative models that can be created by applying game theory to the commerce, various industries and businesses in general. While this is the main focus of the book, the overall theme is to help people to expand their understanding of game theory and its applications in the world.
9. A Gentle Introduction to Game Theory
This is another introduction book. However, it seeks to teach a person about this theory without them feeling like they are being bombarded with information. This is designed to be a fast read for college level readers and those with a basic math background. There are illustrations throughout that help to drive the lesson in the talking points in the book home.
10. Advances in Dynamic Games: Theory, Applications and Numerical Methods
This book starts out talking about what game theory to help people understand the basics. The focus of this book though is the way that this theory has not only evolved over the years but also the ways that it is applied to almost every aspect of life. From engineering and economics to video games and even social interactions.