I've been toying with a NN trying to get it to play 2048 based on game data I recorded. I still have about 60% error rate, but I found that with 16 inputs (the tiles on the game), and 4 outputs (directions to move), it works best like a funnel.

I currently have 2 hidden layers, of 12 and 8 and it's the best I've gotten so far.