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?

I'm sure there's plenty of practical solutions out there.    Here's a trivial solution that proves the existence of such games:
Let's say we play a game where starting from 0, each person gets to add a number from 1 to 9 to the running total.  The winner is the person who makes the total be ten.
In this case, the second player ALWAYS wins, because they just pick 10 minus the number the first person picked.
