conchis comments on The Aumann's agreement theorem game (guess 2/3 of the average) - Less Wrong
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Interesting. In trying to figure out my guess, I discovered that I care more about losing if everyone else wins, than I care about losing if most other people are going to lose as well. This gives me a greater incentive to pick 0, but in a way that doesn't necessarily reflect my beliefs about the rationality/common knowledge of rationality of this group.