I'm about to do a sort of reading course with a mathematics professor wherein I read and teach him about Game Theory. He claims not to know Game Theory. After that, we aim to read about Mean Field Game Theory - and other crossovers of Game Theory with PDEs.
I'm tasked with finding a suitable text on the topic. Game theory seem like a pretty broad topic, and I want to make sure I'm getting a text that:
- Develops those aspects of Game Theory that will be useful for Mean Field Game Theory
- Has a suitable degree of mathematical rigor
Is there such a text, and where might I find it?