What are all the mathematical theories in Game Theory? I have taken Mathematical Modelling, including: application of linear systems, matrix operations, inverse of matrix, leontif input-output model, subspaces of $\mathbb{R}^n$, Properties of determinants, complex numbers, eigenvalues and eigenvectors, characteristic equation, diagonalization. What is the next most natural step to take, in order to learn mathematical approaches to Game Theory? Since there are many applications of Game Theory, I'd like to learn as many mathematical approaches as possible.
2026-03-26 10:58:08.1774522688
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Math theories in Game Theory
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If you are interested in the applications of game theory in economics then I would recommend Ken Binmore's book "Playing for Real."
By the way: every modern textbook on game theory that you pick up will be mathematical. Only the most elementary books for popular audiences are non-mathematical.
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Get a book and start working through it. I recommend On Numbers And Games by John Conway. Like Thomas said, you don't need too much math background to understand game theory, and if you miss something you can look it up while working through a book.