Wittgenstein, math and cooperation

While listening to what Wittgenstein has to say about necessity as it pertains to mathematics, I noted that he is not denying that we encounter constraint or necessity when doing mathematics: he is denying that this constraint comes from something outside the game.  Rather, it is from the game itself.  But what if mathematics is a game we can play with rational beings very different from ourselves?  Can we intuit that all would be constrained as we are?  Even if they are incredibly smarter?  And what about God?  Is math a game we play with God rather than being a kind of activity the we aim at God (or at God's Mind) as a kind of ideal object?