Hi, I am a NYU first year with interests in game theory and stuff just like you. So, if you have any specific questions about NYU I'd love to answer those. Are you coming for the open day? In the mean time, in support of NYU I can tell you that it's an excellent place with guys like Staccheti, Pearce, Rubinstein teaching you in first year. I can't imagine anything bigger than this to be honest. Moreover, it's a very friendly department.
And then, it's NYC and howsoever a nerd you might be (I used to think to myself that it wouldn't matter whether I am in NYC or elsewhere) I think it's a really nice feeling to live in a city where you can completely disconnect from the thoughts of economics, problem sets and all those things and watch a standup or a drama or take a walk along the river.