Is game theory a part of math?

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I'm going to write project paper for my course, "The History of Math". My field is 'game theory'.

However, I'm in doubt that game theory is really part of math, since it comes from economics (for me).

My questions are:

  1. Is game theory a part of math?

  2. What are some papers that heavily use game theory and involve some real math calculations?

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Question #1: Well, I expect some people would say that math is a part of game theory :-). But certainly some areas of game theory are highly mathematical.

The math subject classification system of the American Mathematical Society lists Game Theory as one of their categories: link here

Question #2: Try this book . There are many other similar ones.