Schools for Game Theory/Algebraic Geometry

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I am looking into both Game Theory and Algebraic Geometry for graduate study and potentially doing a thesis in. I wanted to know if there are areas of mathematics that rely on both algebraic geometry and game theory. Also, which schools are relatively strong in both fields?

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There are applications of specialized parts of AG to specialized parts of game theory -- see e.g. this dissertation by Datta -- but neither of these are going to be the focus of your average AG or game theory program. If you really specifically want to do something on this you should probably try programs that specialize in computational and/or real algebraic geometry and then talk to a professor in advance.