Do you say "good game" after a game in which your opponent played poorly? Suppose you win a game in a noncompetitive way, when you know your opponent cannot feel good about his play. Maybe he dropped his queen early, to a simple tactic that should have been evident for a player of his level, for example.

Do you say "Good game" when you shake hands? Or do you say nothing at all?
Why not just:


  Thanks for the game.


You wanted to play a game, and your opponent gave you a game. Played well or not, you could thank him for giving you the opportunity to play.