2% is too high a credence for belief in the existence of powers for which (as far as I know) not even anecdotal evidence exists. It's the realm of speculative fiction, well beyond the current ability of psychological and cognitive science and, one imagines, rather difficult to control.
Many say exactly the same thing about cryonics. And lots of anecdotal evidence does exist, not of killing specifically, but of inducing a wide enough range of mental states that some within there are known to be lethal.
So far in my experience skill at basilisks is utterly tangential to the skills you mentioned, and fit Eliezers skill set extremely well. Further, he has demonstrated this type of abilities before, for example in the AI box experiments or HPMoR.
Many say exactly the same thing about cryonics.
Pointing to cryonics anytime someone says you believe in something that is the realm of speculative fiction and well beyond current science is a really, really, bad strategy for having true beliefs. Consider the generality of your response.
And lots of anecdotal evidence does exist,
Show me three.
skill at basilisks
How is this even a thing? That you have experience with?
the AI box experiments
Your best point. But nearly enough to bring p up to 0.02.
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!