A really cool mechanic! I like the decission making it forces on the player. Personally I think the game is a little to easy, but that mostly is because the AI is very simplistic which is totally understandable for a game jam game :p
I especially like that you can add the dice rolls to your score. If this were a roguelike of some sorts were you can use your dice to get some cool items or something like this, I would probably get hooked!
I also like god popping up to bless or curse the playing field. Great job all around :)