(Cross-posted from my site.)
My goal here is to quickly describe a potential problem that groups of people may have when trying to collectively figure out the truth of some subject.
The basic idea is that people may use each others' beliefs to inform their own beliefs, without properly accounting for the fact that others' beliefs are based on some of the same evidence as their own beliefs.
In what follows I present a simplified example of how this might happen, a bit of math to guide our thinking, and some illustrative plots.
The basic takeaway is that a failure to "de-correlate" others' beliefs from the supporting evidence leads to sub-optimal epistemics. In particular:
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