ChristianKl comments on Rationality Lessons in the Game of Go - Less Wrong
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http://www.au.af.mil/au/awc/awcgate/ssi/lai_go_chinese_strategy.pdf is a fine report that deals with transfering Go concept to thinking about military strategy.
Strategy is about thinking "What should I do?", while rationality is about thinking "What should I believe?". I think the two questions are similar enough that one can transfer a lot of what David Lei writes.