Game Theory - First move vs second move advantage? This question came up in a lunchtime discussion with coworkers. None of us are professional mathematicians or teachers of math, and we weren't sure how to get the answer.  I apologize in advance if my question is not rigorous or uses the wrong terminology.
Is there any game (like NIM, etc) where the player making the second move has an advantage?
Additional question:  Can anyone give me an example of such a game?

Consider the chess position with white king on a5, black king on c4, white pawn on b4 and black pawn on b5. The player on turn loses.
