Here's a wrinkle....
If your opponent is not a sentient being, but a computer program, is the question turned on its head and now the aggression is no longer a whip lashing out, but a closed loop now wrapped around your own aggression? That is to say, you are no longer playing to beat another, but playing to not beat yourself (i.e. blunder)? There's no using psychology on AI, but you can fool yourself into making mistakes by being mentally lazy (e.g. assumptions, not going one move further, etc.).
One step further:
Play chess with yourself? The concept would be bootstrapping your own evolution: short-circuiting aggression with aggression by seeing the foolishness of trying to use your own psychology against yourself. When the feeling/emotion part of it exhausts itself like a burn-out defeats a wildfire, then all you have left is challenging yourself. You ever think what a game of chess would be like if you could hear everything the other person was thinking and vice-versa?
I came across this and it struck a nerve with me. I had the type of discomfort described in this passage long before I became a buddhist, and the discomfort is heightened for me as a practitioner. Chess begs two questions for me:
1) Is chess of any benefit to myself and others, or is it merely another worldly distraction?
2) Assuming chess has utility to a dharma practitioner, is there a danger of cultivating unwanted aggression through playing it?
"Our dinner* stirred up all sorts of issues. I have never gotten along with alpha males and am unsure about the line between acceptable competitiveness and nasty aggression. I had difficulty in gym class not just because I was inept but because sports seemed too brutal to me. When is the urge to win not just about performing optimally and more about breaking your adversary, physically or psychically? Assuming your opponent is not a jerk, is it immoral to want to destroy him? To me this kind of attitude, which is common in chess, detracts from the nobility of the game. Chess is said to be a safe way to sublimate aggressive impulses. But is it harmless just because the aggression isn't physical? The idea of "healthy competition: may be a myth when it comes to chess. Can you really play a friend, go for each other's jugular, and be buddies afterward?" ~~Paul Hoffman, King's Gambit
*The author had dinner with Garry Kasparov and found him to be wildly competitive/aggressive even in social situations.
What do you think?