Chess is all about planning many moves ahead of where you are. Game Theory works perfectly with this way of thinking. You want to estimate where your partner will be and have alternative plans if he does not. I found this quote which brings Nash Theory into the Chess process:
"The games of chess can't last forever because of certain rules, so its a finite game. It doesn't involve chance to decide the outcome, so its a deterministic game. Its obviously a sequential and non-cooperative game, and assuming you know the entire history of the game when you go to make your move, its also a game of perfect information.
So is there a best way to play chess? If the best strategies are used, every game will end up the same way. Therefore, one of these three statements is true:
1. Chess is a guaranteed win for white - there is nothing that black can do to stop this unless white makes a mistake (white goes first).
2. Chess is a guaranteed win for black - there's nothing that white can do to stop this, unless black makes a mistake.
3. Chess is a guaranteed draw - like tic-tac-toe; neither player ever wins unless someone makes a mistake.
It seems that there are more possible strategies for chess than there are sub-atomic particles in the universe. Perhaps one of those strategies is the perfect one, one that would never lose, one that would in fact win every single game...if a winning strategy exists. Just like tic-tac-toe, unless you screw up, every game ends up with the same result. Its humbling to realize that chess, for all of its complexity...is exactly the same."