A long time ago, I remember reading about a theory that sounds like this:
Players A and B have access to options X and Y. Player A also has access to option Z. Player A is, at worst, equal to and, at best, at an advantage to player B.
Ok, so that was poorly worded. Let me put it another way:
Having more options available to you in a two player game can't possibly hurt you.**
Player A can attack from both sides. Player B must attack from the left. If attacking to the left is the best choice, then both players are equal. If attacking from the right is the best choice, then Player A has a distinct advantage. Player A is either tied or winning. Player B is either tied or losing.
Can anyone tell me the name of the theory I described?
** "... can't possibly hurt you" assumes optimal play from both players. It's not always the case the player with the most options will use them wisely. Intuition tells us that sometimes having too many options can make it difficult for the player to find the best one. Just assume that both players are making the best choices when this theory applies.