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RE: UserAuthority (UA): explanations, applications and implications
In practice, somebody with high UA would be more aware of community norms and the potential impacts of abusing their authority. You are much less likely to be downvoted arbitrarily by a high-UA user than by a high SP but low UA user.
The math helps new users by making bully behavior more difficult, while simultaneously attributing greater power to those less likely to engage in bully behavior.