Before reading this post, understand that I am not an expert in Chess or strategy, and any information I post is based on my own analysis, speculation, and prior knowledge, and is therefore not fact.
Normally when I begin a game of chess, I focus on solidifying my opening. In this process, I essentially ignore the first few opening moves of my opponent. In otherwords, I allow my opponent to establish his position so that I can establish my own. Seems fair, right? Sadly, this strategy has not led me to win many chess games, which can be assumed by the superficiality of the strategy. After anaylzing my mistakes, I came across a new idea. What if every move I make is an attempt to counter the moves that my opponent makes. This would be a purely defensive strategy. If I assume that every move my opponent makes is an attempt to penetrate my defenses, and therefore I counteract said move, the course of the game would be quite difficult for my opponent, provided I guess my opponent's strategy correctly. This seems similar to the Nash Equilibrium, which is a situation in Game Theory where if both players in a game such as chess know their opponent's strategy, and neither player can gain by changing his/her strategy unilaterally, you have a gridlock.
Comments welcome on the soundness of this strategy and its comparison to the Nash Equilibrium.