What Are the Prerequisites for Understanding Game Theory?

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The course on game theory and its applications in economics covers a range of topics including game trees with perfect information, combinatorial games like NIM, backward induction, and both extensive and strategic forms of games. Key concepts such as Nash equilibrium, commitment, zero-sum games, mixed strategies, and maxmin strategies are central to the curriculum. The course also addresses finding mixed-strategy equilibria for two-person games and explores extensive games with information sets and behavior strategies. If time allows, the Nash bargaining solution and multistage bargaining will be discussed. Basic prerequisites include a foundational understanding of probability theory and linear algebra, with knowledge of linear programming being beneficial. Recommended free texts for further study are available online, providing resources for those interested in delving deeper into the subject.
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any prerequisites to cover the following Course content:

The courses examines the theory of games and its applications in economics: Game trees with perfect information, NIM, combinatorial games. Backward induction. Extensive and strategic (normal) form of a game. Nash equilibrium. Commitment. Zero sum games, mixed strategies. Maxmin strategies. Nash equilibria in mixed strategies. Finding mixed-strategy equilibria for two-person games. Extensive games with information sets, behaviour strategies, perfect recall. If time permits: The Nash bargaining solution. Multistage bargaining.

ps. any good text on it?
 
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Sounds similar to a class that I've taken actually. I didn't really see too much advanced prerequisites. Maybe some basic probability theory and solid knowledge of linear algebra. If you can get some understanding of linear programming, that's good too.
Here are some relevant free texts:
http://www.math.ucla.edu/~tom/LP.pdf
http://www.math.ucla.edu/~tom/Game_Theory/Contents.html
 
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