To quote the adage, I'm a solipsist, and am surprised everyone else isn't too. I think any intelligent agent should conclude that it is probably something akin to a Boltzmann brain. You could plausibly argue that I am cheating with pronoun references (other people might agree with the solipsistic logic, but centered around them). Is that what you are asking?

EDIT

Is there anything about the world that you expect would appear different to you because of this belief?

Not really. I think some of the problems with AIXI may be AIXI acting rationally where the desired behavior is irrational, but that's the only time I can think of it coming up outside of a philosophy discussion.