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Lumifer comments on Thomas C. Schelling's "Strategy of Conflict" - Less Wrong
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I think you're mixing levels- in a match with a clear winner, "hurting self" properly means "make my probability of losing higher" not "reduce my in-game resources." I can't reduce my chance of winning to reduce my opponent's chance of winning by more- the net effect is increasing my chance of winning.
I am not so much mixing levels as pointing out that different levels exist.