Hi everybody,
I recently got interested in Game Theory but I don't know where should I start. Can anyone recommend any references and textbooks? And what are the prerequisites of Game Thoery?
Thanks in advance.
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"A course in game theory" by Martin J. Osborne and Ariel Rubinstein is probably the standard more mathematical starting point. A more concise, more modern, and slightly CS-leaning text is "Essentials of Game Theory -- A Concise, Multidisciplinary Introduction" by Kevin Leyton-Brown and Yoav Shoham. |
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I asked this same question about a year ago, so I'm very slightly ahead of you. Here's what I know: As you probably know, there are two major branches for game theory. There's (for lack of a better term) "economics" game theory dealing with real world situations, economics, politics and the like. I know next to nothing about that. However, I do know a decent amount about combinatorial game theory, which is a little bit more ground in mathematics, and deals with two player games such as Go, Chess, Nim, or Tic-Tac-Toe. The best introductory text is going to be Conway's Winning Ways, any of the volumes 1-4. These are the books to read to get into any other subset of combinatorial games, in my opinion. My personal specialization thus far is generalizations of Tic-Tac-Toe called achievement games, which you can read about (along with much more) in Tic-Tac-Toe Theory. However, if you want to go even further in these studies, you are a little bit out of luck. What's very exciting to me about combinatorial game theory is that it's pretty much a brand new field of mathematics, and right now the best techniques we have to study it are educated guessing/brute-forcing and a little bit of discrete mathematics. Although it's disenchanting sometimes, this also means that there is potentially a world of possible links and connections to other branches of math that we don't know about, and is just out there waiting to be discovered. |
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G. Owen, GAME THEORY background is basic linear algebra I believe |
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The Wikipedia article on Game theory is a general introduction to the field. In it I found an a link for Theory of Games and Economic Behavior. Also here are lecture notes from a graduate level course. |
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I've found Tom Ferguson's text to be a good introduction. His Linear Programming (pdf) text is a useful supplement. Both are freely available from his website. |
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One area that's really fascinating from a game theory angle is algorithmic game theory, and there's an excellent book out on this topic. While this focuses more on the computational aspects of game theory, it's extremely relevant to a ton of work on the internet and e-commerce, and weaves together game theory, economics and theoretical computer science in a fascinating manner. The book is: Algorithmic Game Theory |
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