Re: [math-fun] Double moves

So is there an interesting theory of adding games/numbers with double moves? or k moves for general k? On Dec 30, 2014, at 8:44 PM, James Propp <jamespropp@gmail.com> wrote:

That's because the induction arguments that make the theory work are sensitively tuned to the fact that when you make a move in a disjunctive sum, you make a move in exactly ONE of the summands --- whereas, when you are faced with the game G+H and you want to make a double-move, you can make a double-move in G, a double-move in H, or a single move in each of the two sub-games.