A social-network illusion that makes things appear more popular than they are
phys.org
phys.org
TL;DR Majority illusion paradox occurs when many people are observing a small and loud group "saying" something that is actually globally rare. Imagine 100 people who all observe three people who say the same things.
Own a media company and get people to believe in junk. Find the most connected individuals among a group and make them "active". If an "inactive" person perceives .5 of their connections are active they may switch to the active state themselves.
The "type" of network can affect the perceptions.
A lot of people are trying to apply graph theory in wild situations where it doesn't belong, yet this basic work on social networks and social graphs hasn't been studied in an academic way.
They attribute it to the University of California which consists of ten different campuses and typically Berkeley gets away with being called just University of California, or CAL, because it was the first.
However upon looking up the researchers' name it turns out that they belong to none of these and are actually from the University of Southern California.
So to what extent does that create a self-fulfilling prophecy where people who tend to post content generally likable to their friends then have that content displayed around and liked more, having a self-reinforcing effect on how Facebook "feels" and how people understand what they are expected to post to Facebook.
Sort of a fast-foodization of thought?
This is why Nate Silver, who after all mostly does his work by taking polls as a whole seriously, continues to surprise some people: They live in a bubble. They don't see who the majority is actually supporting. They are actually surprised by election results, even if the polls have largely been pointing one direction consistently for months on end.
(Silver ignores some polls and applies correction factors to others. This is due to those polls' demonstrable idiocy and/or bias, as empirically demonstrated by how far they are from reality when the real events happen.)
Wang does pretty well, too, and his models are simpler: http://election.princeton.edu/
My point is, polls work, statistics is real, and numbers remain the primary way to determine which of two things is larger. Enter echo chambers if you want to, but don't live in one.
A related example: the average person is less popular than their average friend, and therefore feels that they are below average popularity. This happens since popular people are weighted more heavily in the sampling, but people don't realize they are confusing the local average with global average.
I'm not sure if facebook would be willing to do this, but perhaps GNU social?
This probability p should be a function of the popularity r (in your circles) directly, and it should not depend on who is sharing the item.