Tenek comments on Taking the awkwardness out of a Prenup - A Game Theoretic solution - Less Wrong
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Because you need to know if they've made a commitment, and using old information can get you burned if as stated, you pre-commit simultaneously.
OK, then a pre-commitment that only applies if you have no solid information that the other person has one in effect. (I don't think those adjustments should have been difficult to make.) Makers of pre-commitments are incentivized to broadcast their commitments with credible info to back them up, right?