DanielLC comments on Varying amounts of subjective experience - Less Wrong Discussion
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How do you choose who's self-interest to act in?
If two people are acting rationally, and they have the same information, they should come to the same conclusion. As such, it would seem reasonable that they'd all pick the same self-interest to act in.
I assume you are joking. But, to respond seriously:
They don't start with the same priors or preferences, but unless they have a good reason to trust their own more than the other person's, they'd use both.
For example, imagine you were in some treasure hunt. Everyone has a different, imperfect map. This could result in you all looking in different places, but if you stop and think about it (and it's not a competition) you'll just share maps. The fact that one map happened to be in your hands doesn't make it better.