What is a good random number generator for a game?

Question

What is a good random number generator to use for a game in C++?

My considerations are:

1. Lots of random numbers are needed, so speed is good.
2. P

Answer 1

I want it random enough that people (at least those who understand randomness) can't complain about it, but I'm not worried about predictions.

A-ha!

There's your real requirement!

No one could fault you for using Mersenne Twister in this application.