I precommit to acting as if I had made any precommittment I find myself wishing I had made. If I make this clear before iterated prisoners' dilemma, a rational partner would not try the "finger slipped" excuse against me, because I would wish that I had precommitted to punishing defection due to finger slipping.
I would still allow the grieving student to turn in the paper late, because in that situation, I do not wish I had precommitted to rejecting that excuse.
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A question about Bayesian reasoning:
I think one of the things that confused me the most about this is that Bayesian reasoning talks about probabilities. When I start with Pr(My Mom Is On The Phone) = 1/6, its very different from saying Pr(I roll a one on a fair die) = 1/6.
In the first case, my mom is either on the phone or not, but I'm just saying that I'm pretty sure she isn't. In the second, something may or may not happen, but its unlikely to happen.
Am I making any sense... or are they really the same thing and I'm over complicating?